{"id":"https://openalex.org/W4205551513","doi":"https://doi.org/10.1155/2022/3105734","title":"HIV/AIDS-Pneumonia Codynamics Model Analysis with Vaccination and Treatment","display_name":"HIV/AIDS-Pneumonia Codynamics Model Analysis with Vaccination and Treatment","publication_year":2022,"publication_date":"2022-01-11","ids":{"openalex":"https://openalex.org/W4205551513","doi":"https://doi.org/10.1155/2022/3105734","pmid":"https://pubmed.ncbi.nlm.nih.gov/35069778"},"language":"en","primary_location":{"id":"doi:10.1155/2022/3105734","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/3105734","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2022/3105734.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/cmmm/2022/3105734.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022789949","display_name":"Shewafera Wondimagegnhu Teklu","orcid":"https://orcid.org/0000-0002-9073-6075"},"institutions":[{"id":"https://openalex.org/I1282700336","display_name":"Debre Berhan University","ror":"https://ror.org/04e72vw61","country_code":"ET","type":"education","lineage":["https://openalex.org/I1282700336"]}],"countries":["ET"],"is_corresponding":true,"raw_author_name":"Shewafera Wondimagegnhu Teklu","raw_affiliation_strings":["Department of Mathematics, Natural Science, Debre Berhan University, Debre Berhan, Ethiopia"],"raw_orcid":"https://orcid.org/0000-0002-9073-6075","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Natural Science, Debre Berhan University, Debre Berhan, Ethiopia","institution_ids":["https://openalex.org/I1282700336"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087497643","display_name":"Purnachandra Rao Koya","orcid":"https://orcid.org/0000-0002-5031-971X"},"institutions":[{"id":"https://openalex.org/I301615471","display_name":"Wollega University","ror":"https://ror.org/00316zc91","country_code":"ET","type":"education","lineage":["https://openalex.org/I301615471"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Koya Purnachandra Rao","raw_affiliation_strings":["Department O Mathematics, Natural Science, Wollega University, Nekemte, Ethiopia"],"raw_orcid":"https://orcid.org/0000-0002-5031-971X","affiliations":[{"raw_affiliation_string":"Department O Mathematics, Natural Science, Wollega University, Nekemte, Ethiopia","institution_ids":["https://openalex.org/I301615471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022789949"],"corresponding_institution_ids":["https://openalex.org/I1282700336"],"apc_list":{"value":2100,"currency":"USD","value_usd":2100},"apc_paid":{"value":2100,"currency":"USD","value_usd":2100},"fwci":11.1658,"has_fulltext":true,"cited_by_count":55,"citation_normalized_percentile":{"value":0.98971914,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10327","display_name":"Adolescent Sexual and Reproductive Health","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10082","display_name":"HIV/AIDS Research and Interventions","score":0.9689000248908997,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coinfection","display_name":"Coinfection","score":0.854747474193573},{"id":"https://openalex.org/keywords/pneumonia","display_name":"Pneumonia","score":0.8144254088401794},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.5846244096755981},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5844080448150635},{"id":"https://openalex.org/keywords/vaccination","display_name":"Vaccination","score":0.5088103413581848},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.49924564361572266},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.49063268303871155},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.43030375242233276},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.3681405782699585},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.2805212736129761},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.24725845456123352},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.1070270836353302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05275115370750427}],"concepts":[{"id":"https://openalex.org/C2777813720","wikidata":"https://www.wikidata.org/wiki/Q1243018","display_name":"Coinfection","level":3,"score":0.854747474193573},{"id":"https://openalex.org/C2777914695","wikidata":"https://www.wikidata.org/wiki/Q12192","display_name":"Pneumonia","level":2,"score":0.8144254088401794},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.5846244096755981},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5844080448150635},{"id":"https://openalex.org/C22070199","wikidata":"https://www.wikidata.org/wiki/Q192995","display_name":"Vaccination","level":2,"score":0.5088103413581848},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.49924564361572266},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.49063268303871155},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.43030375242233276},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.3681405782699585},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.2805212736129761},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.24725845456123352},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.1070270836353302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05275115370750427},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000090005","descriptor_name":"Epidemiological Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000090005","descriptor_name":"Epidemiological Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000090005","descriptor_name":"Epidemiological Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D000163","descriptor_name":"Acquired Immunodeficiency Syndrome","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D011014","descriptor_name":"Pneumonia","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D014611","descriptor_name":"Vaccination","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014611","descriptor_name":"Vaccination","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014611","descriptor_name":"Vaccination","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000150","qualifier_name":"complications","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D015658","descriptor_name":"HIV Infections","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D017088","descriptor_name":"AIDS-Related Opportunistic Infections","qualifier_ui":"Q000635","qualifier_name":"transmission","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019353","descriptor_name":"Endemic Diseases","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D019353","descriptor_name":"Endemic Diseases","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D019353","descriptor_name":"Endemic Diseases","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D019353","descriptor_name":"Endemic Diseases","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D019353","descriptor_name":"Endemic Diseases","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D019353","descriptor_name":"Endemic Diseases","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D050936","descriptor_name":"Basic Reproduction Number","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D050936","descriptor_name":"Basic Reproduction Number","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D050936","descriptor_name":"Basic Reproduction Number","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D060085","descriptor_name":"Coinfection","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D060085","descriptor_name":"Coinfection","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D060085","descriptor_name":"Coinfection","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1155/2022/3105734","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/3105734","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2022/3105734.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},{"id":"pmid:35069778","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35069778","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and mathematical methods in medicine","raw_type":null},{"id":"pmh:oai:doaj.org/article:3b1a940b2b2e4f4fac0cc89dae772081","is_oa":true,"landing_page_url":"https://doaj.org/article/3b1a940b2b2e4f4fac0cc89dae772081","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational and Mathematical Methods in Medicine, Vol 2022 (2022)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8767370","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8767370","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Comput Math Methods Med","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1155/2022/3105734","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/3105734","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2022/3105734.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4205551513.pdf","grobid_xml":"https://content.openalex.org/works/W4205551513.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1482942573","https://openalex.org/W1561704653","https://openalex.org/W1980966340","https://openalex.org/W1997799089","https://openalex.org/W2022356067","https://openalex.org/W2047229822","https://openalex.org/W2085451305","https://openalex.org/W2112680994","https://openalex.org/W2335001735","https://openalex.org/W2336000508","https://openalex.org/W2521343933","https://openalex.org/W2591356384","https://openalex.org/W2661260094","https://openalex.org/W2686788534","https://openalex.org/W2727378195","https://openalex.org/W2741801782","https://openalex.org/W2743304968","https://openalex.org/W2777837339","https://openalex.org/W2790398543","https://openalex.org/W2794675720","https://openalex.org/W2898167789","https://openalex.org/W2910188621","https://openalex.org/W2947710143","https://openalex.org/W3005537471","https://openalex.org/W3011310246","https://openalex.org/W3022536673","https://openalex.org/W3086654508","https://openalex.org/W3200327520","https://openalex.org/W4236011699"],"related_works":["https://openalex.org/W2136221378","https://openalex.org/W177105905","https://openalex.org/W1896517046","https://openalex.org/W3183473281","https://openalex.org/W2577077467","https://openalex.org/W3121046352","https://openalex.org/W4246114440","https://openalex.org/W3033508266","https://openalex.org/W3169069926","https://openalex.org/W3034000495"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,92],"proposed":[4],"and":[5,15,23,55,101,127,177,229,259,289,337,350,367],"analyzed":[6],"a":[7,33,65],"realistic":[8],"compartmental":[9],"mathematical":[10],"model":[11,36,105,370],"on":[12],"the":[13,97,102,180,183,202,210,230,254,282,339,364],"spread":[14],"control":[16],"of":[17,182,257,284,341,346],"HIV/AIDS-pneumonia":[18,46,56,103,178],"coepidemic":[19,47,57,104],"incorporating":[20],"pneumonia":[21,43,52,98,175,211,260,263,290,368],"vaccination":[22],"treatment":[24],"for":[25,174,287],"both":[26,96],"infections":[27],"at":[28,433],"each":[29],"infection":[30,176,264],"stage":[31],"in":[32],"population.":[34],"The":[35,60,262],"exhibits":[37],"six":[38],"equilibriums:":[39],"HIV/AIDS":[40,49,61,231,258,288,366],"only":[41,44,50,53,62,99],"disease-free,":[42,45,48],"endemic,":[51,54],"endemic":[58,343],"equilibriums.":[59],"submodel":[63,100],"has":[64],"globally":[66],"asymptotically":[67],"stable":[68,349],"disease-free":[69],"equilibrium":[70],"if":[71,292],"<a:math":[72],"xmlns:a=\"http://www.w3.org/1998/Math/MathML\"":[73],"id=\"M1\">":[74],"<a:msub>":[75],"<a:mrow>":[76,80],"<a:mi":[77],"mathvariant=\"script\">R</a:mi>":[78],"</a:mrow>":[79,82],"<a:mn>1</a:mn>":[81,85],"</a:msub>":[83],"<a:mo>&lt;</a:mo>":[84],"<a:mo>.</a:mo>":[86],"</a:math>":[87],"Using":[88,354],"center":[89],"manifold":[90],"theory,":[91],"have":[93],"verified":[94],"that":[95,209,363],"undergo":[106],"backward":[107,285],"bifurcations":[108],"whenever":[109],"<d:math":[110],"xmlns:d=\"http://www.w3.org/1998/Math/MathML\"":[111],"id=\"M2\">":[112],"<d:msub>":[113],"<d:mrow>":[114,118],"<d:mi":[115],"mathvariant=\"script\">R</d:mi>":[116],"</d:mrow>":[117,120],"<d:mn>2</d:mn>":[119],"</d:msub>":[121],"<d:mo>&lt;</d:mo>":[122],"<d:mn>1</d:mn>":[123],"<d:mtext>":[124],"</d:mtext>":[125],"</d:math>":[126],"<g:math":[128],"xmlns:g=\"http://www.w3.org/1998/Math/MathML\"":[129],"id=\"M3\">":[130],"<g:msub>":[131,147,157],"<g:mrow>":[132,136,146,148,152,158,162],"<g:mi":[133,141,149,159],"mathvariant=\"script\">R</g:mi>":[134,150,160],"</g:mrow>":[135,138,151,154,161,164,166],"<g:mn>3</g:mn>":[137],"</g:msub>":[139,155,165],"<g:mo>=</g:mo>":[140],"mathvariant=\"normal\">max</g:mi>":[142],"<g:mfenced":[143],"open=\"{\"":[144,309,390,418],"close=\"}\">":[145,310,391,419],"<g:mn>1</g:mn>":[153,169],"<g:mo>,</g:mo>":[156],"<g:mn>2</g:mn>":[163],"</g:mfenced>":[167],"<g:mo>&lt;</g:mo>":[168],"</g:math>":[170],",":[171,336],"respectively.":[172],"Thus,":[173],"coinfection,":[179],"requirement":[181],"basic":[184],"reproduction":[185,371],"numbers":[186],"to":[187,199,252,281],"be":[188,197],"less":[189],"than":[190],"one,":[191],"even":[192],"though":[193],"necessary,":[194],"may":[195],"not":[196],"sufficient":[198],"completely":[200],"eliminate":[201],"disease.":[203],"Our":[204],"sensitivity":[205],"analysis":[206],"results":[207,361],"demonstrate":[208],"disease":[212],"transmission":[213,232,265],"rate":[214,233,266],"<o:math":[215],"xmlns:o=\"http://www.w3.org/1998/Math/MathML\"":[216],"id=\"M4\">":[217],"<o:mtext>":[218],"</o:mtext>":[219],"<o:msub>":[220],"<o:mrow>":[221,224],"<o:mi>\u03b2</o:mi>":[222],"</o:mrow>":[223,226],"<o:mn>2</o:mn>":[225],"</o:msub>":[227],"</o:math>":[228],"<q:math":[234],"xmlns:q=\"http://www.w3.org/1998/Math/MathML\"":[235],"id=\"M5\">":[236],"<q:mtext>":[237],"</q:mtext>":[238],"<q:msub>":[239],"<q:mrow>":[240,243],"<q:mi>\u03b2</q:mi>":[241],"</q:mrow>":[242,245],"<q:mn>1</q:mn>":[244],"</q:msub>":[246],"</q:math>":[247],"play":[248],"an":[249],"important":[250],"role":[251],"change":[253],"qualitative":[255],"dynamics":[256],"coinfection.":[261],"<s:math":[267],"xmlns:s=\"http://www.w3.org/1998/Math/MathML\"":[268],"id=\"M6\">":[269],"<s:msub>":[270],"<s:mrow>":[271,274],"<s:mi>\u03b2</s:mi>":[272],"</s:mrow>":[273,276],"<s:mn>2</s:mn>":[275],"</s:msub>":[277],"</s:math>":[278],"gives":[279],"rises":[280],"possibility":[283],"bifurcation":[286],"coinfection":[291,369],"<u:math":[293],"xmlns:u=\"http://www.w3.org/1998/Math/MathML\"":[294],"id=\"M7\">":[295],"<u:msub>":[296,312,322],"<u:mrow>":[297,301,311,313,317,323,327],"<u:mi":[298,306,314,324],"mathvariant=\"script\">R</u:mi>":[299,315,325],"</u:mrow>":[300,303,316,319,326,329,331],"<u:mn>3</u:mn>":[302],"</u:msub>":[304,320,330],"<u:mo>=</u:mo>":[305],"mathvariant=\"normal\">max</u:mi>":[307],"<u:mfenced":[308],"<u:mn>1</u:mn>":[318,334],"<u:mo>,</u:mo>":[321],"<u:mn>2</u:mn>":[328],"</u:mfenced>":[332],"<u:mo>&lt;</u:mo>":[333],"</u:math>":[335],"hence,":[338],"existence":[340],"multiple":[342],"equilibria":[344],"some":[345],"which":[347],"are":[348,352],"others":[351],"unstable.":[353],"standard":[355],"data":[356],"from":[357],"different":[358],"literatures,":[359],"our":[360],"show":[362],"complete":[365],"number":[372],"is":[373],"<cb:math":[374],"xmlns:cb=\"http://www.w3.org/1998/Math/MathML\"":[375],"id=\"M8\">":[376],"<cb:msub>":[377,393,403],"<cb:mrow>":[378,382,392,394,398,404,408,420],"<cb:mi":[379,387,395,405,415],"mathvariant=\"script\">R</cb:mi>":[380,396,406],"</cb:mrow>":[381,384,397,400,407,410,412,426],"<cb:mn>3</cb:mn>":[383],"</cb:msub>":[385,401,411],"<cb:mo>=</cb:mo>":[386,414,428],"mathvariant=\"normal\">max</cb:mi>":[388,416],"<cb:mfenced":[389,417],"<cb:mn>1</cb:mn>":[399],"<cb:mo>,</cb:mo>":[402,422],"<cb:mn>2</cb:mn>":[409],"</cb:mfenced>":[413,427],"<cb:mn>1.386</cb:mn>":[421],"<cb:mn>9.69</cb:mn>":[423,429],"<cb:mtext>":[424,430],"</cb:mtext>":[425,431],"</cb:math>":[432],"<nb:math":[434],"xmlns:nb=\"http://www.w3.org/1998/Math/MathML\"":[435],"id=\"M9\">":[436]},"counts_by_year":[{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":8}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}