{"id":"https://openalex.org/W4406625391","doi":"https://doi.org/10.1155/jama/9015761","title":"A Coinfection Model of Bacterial Meningitis and Hepatitis B Diseases With Optimal Control and Cost\u2010Effectiveness Analysis","display_name":"A Coinfection Model of Bacterial Meningitis and Hepatitis B Diseases With Optimal Control and Cost\u2010Effectiveness Analysis","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4406625391","doi":"https://doi.org/10.1155/jama/9015761"},"language":"en","primary_location":{"id":"doi:10.1155/jama/9015761","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/9015761","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/9015761","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/9015761","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031531502","display_name":"Malede Atnaw Belay","orcid":"https://orcid.org/0000-0001-6883-7382"},"institutions":[{"id":"https://openalex.org/I8764889","display_name":"University of Gondar","ror":"https://ror.org/0595gz585","country_code":"ET","type":"education","lineage":["https://openalex.org/I8764889"]}],"countries":["ET"],"is_corresponding":true,"raw_author_name":"Malede Atnaw Belay","raw_affiliation_strings":["Department of Mathematics ,  University of Gondar ,  Gondar ,  Ethiopia ,  uog.edu.et"],"raw_orcid":"https://orcid.org/0000-0001-6883-7382","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  University of Gondar ,  Gondar ,  Ethiopia ,  uog.edu.et","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045571994","display_name":"Jeconia Abonyo Okelo","orcid":null},"institutions":[{"id":"https://openalex.org/I26805570","display_name":"Jomo Kenyatta University of Agriculture and Technology","ror":"https://ror.org/015h5sy57","country_code":"KE","type":"education","lineage":["https://openalex.org/I26805570"]}],"countries":["KE"],"is_corresponding":false,"raw_author_name":"Jeconia Abonyo Okelo","raw_affiliation_strings":["Department of Mathematics ,  Jomo Kenyatta University of Agriculture and Technology ,  Nairobi ,  Kenya ,  jkuat.ac.ke"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Jomo Kenyatta University of Agriculture and Technology ,  Nairobi ,  Kenya ,  jkuat.ac.ke","institution_ids":["https://openalex.org/I26805570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049912620","display_name":"David Mwangi Theuri","orcid":null},"institutions":[{"id":"https://openalex.org/I26805570","display_name":"Jomo Kenyatta University of Agriculture and Technology","ror":"https://ror.org/015h5sy57","country_code":"KE","type":"education","lineage":["https://openalex.org/I26805570"]}],"countries":["KE"],"is_corresponding":false,"raw_author_name":"David Mwangi Theuri","raw_affiliation_strings":["Department of Mathematics ,  Jomo Kenyatta University of Agriculture and Technology ,  Nairobi ,  Kenya ,  jkuat.ac.ke"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Jomo Kenyatta University of Agriculture and Technology ,  Nairobi ,  Kenya ,  jkuat.ac.ke","institution_ids":["https://openalex.org/I26805570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035335486","display_name":"Haileyesus Tessema Alemneh","orcid":"https://orcid.org/0000-0001-5717-4384"},"institutions":[{"id":"https://openalex.org/I8764889","display_name":"University of Gondar","ror":"https://ror.org/0595gz585","country_code":"ET","type":"education","lineage":["https://openalex.org/I8764889"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Haileyesus Tessema Alemneh","raw_affiliation_strings":["Department of Mathematics ,  University of Gondar ,  Gondar ,  Ethiopia ,  uog.edu.et"],"raw_orcid":"https://orcid.org/0000-0001-5717-4384","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  University of Gondar ,  Gondar ,  Ethiopia ,  uog.edu.et","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046473851","display_name":"Negesse Yizengaw Alemu","orcid":"https://orcid.org/0000-0001-6538-1244"},"institutions":[{"id":"https://openalex.org/I8764889","display_name":"University of Gondar","ror":"https://ror.org/0595gz585","country_code":"ET","type":"education","lineage":["https://openalex.org/I8764889"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Negesse Yizengaw Alemu","raw_affiliation_strings":["Department of Mathematics ,  University of Gondar ,  Gondar ,  Ethiopia ,  uog.edu.et"],"raw_orcid":"https://orcid.org/0000-0001-6538-1244","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  University of Gondar ,  Gondar ,  Ethiopia ,  uog.edu.et","institution_ids":["https://openalex.org/I8764889"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5031531502"],"corresponding_institution_ids":["https://openalex.org/I8764889"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.4982,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77641287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"2025","issue":"1","first_page":null,"last_page":null},"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":0.9988999962806702,"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":0.9988999962806702,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10340","display_name":"Hepatitis B Virus Studies","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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":0.8050760626792908},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.6610904932022095},{"id":"https://openalex.org/keywords/bacterial-meningitis","display_name":"Bacterial meningitis","score":0.5976101756095886},{"id":"https://openalex.org/keywords/meningitis","display_name":"Meningitis","score":0.4652261435985565},{"id":"https://openalex.org/keywords/hepatitis-b","display_name":"Hepatitis B","score":0.45085376501083374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38980716466903687},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.3717612028121948},{"id":"https://openalex.org/keywords/pediatrics","display_name":"Pediatrics","score":0.18355917930603027},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.09655418992042542}],"concepts":[{"id":"https://openalex.org/C2777813720","wikidata":"https://www.wikidata.org/wiki/Q1243018","display_name":"Coinfection","level":3,"score":0.8050760626792908},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.6610904932022095},{"id":"https://openalex.org/C3018430615","wikidata":"https://www.wikidata.org/wiki/Q48143","display_name":"Bacterial meningitis","level":3,"score":0.5976101756095886},{"id":"https://openalex.org/C2781026528","wikidata":"https://www.wikidata.org/wiki/Q48143","display_name":"Meningitis","level":2,"score":0.4652261435985565},{"id":"https://openalex.org/C2777382497","wikidata":"https://www.wikidata.org/wiki/Q6853","display_name":"Hepatitis B","level":2,"score":0.45085376501083374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38980716466903687},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.3717612028121948},{"id":"https://openalex.org/C187212893","wikidata":"https://www.wikidata.org/wiki/Q123028","display_name":"Pediatrics","level":1,"score":0.18355917930603027},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.09655418992042542}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/jama/9015761","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/9015761","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/9015761","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnljam:9015761","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/jam/2025/9015761.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:1f427c67097245f39d59c42dcb2f8e1d","is_oa":true,"landing_page_url":"https://doaj.org/article/1f427c67097245f39d59c42dcb2f8e1d","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":"Journal of Applied Mathematics, Vol 2025 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/jama/9015761","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/9015761","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/9015761","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406625391.pdf","grobid_xml":"https://content.openalex.org/works/W4406625391.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W231975775","https://openalex.org/W2010501535","https://openalex.org/W2010541536","https://openalex.org/W2022356067","https://openalex.org/W2038941775","https://openalex.org/W2079758803","https://openalex.org/W2085451305","https://openalex.org/W2108749834","https://openalex.org/W2402895423","https://openalex.org/W2767307387","https://openalex.org/W2794679918","https://openalex.org/W2944978160","https://openalex.org/W2974073207","https://openalex.org/W3038796823","https://openalex.org/W3082117970","https://openalex.org/W3125067994","https://openalex.org/W3188542684","https://openalex.org/W3203383468","https://openalex.org/W3216774382","https://openalex.org/W4247302526","https://openalex.org/W4296154082","https://openalex.org/W4312572774","https://openalex.org/W4319454232"],"related_works":["https://openalex.org/W2182533141","https://openalex.org/W2414724338","https://openalex.org/W4256353252","https://openalex.org/W4206713096","https://openalex.org/W2035492555","https://openalex.org/W1574979962","https://openalex.org/W2168353080","https://openalex.org/W2019104222","https://openalex.org/W2075617988","https://openalex.org/W2506526660"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"a":[3],"compartmental":[4],"model":[5,63],"for":[6,29,75,80],"the":[7,26,37,44,49,52,55,110,116,127,145],"coinfection":[8],"of":[9,40,51],"bacterial":[10,35,41,69,84,136],"meningitis":[11,70,137],"and":[12,17,34,43,78,91],"Hepatitis":[13,30,72,89,141],"B":[14,31,73,142],"was":[15,57],"formulated":[16],"analyzed.":[18],"The":[19,96,104,131],"most":[20,128,146],"sensitive":[21],"parameters":[22],"were":[23],"identified,":[24],"including":[25],"contact":[27],"rates":[28],"virus":[32],"(HBV)":[33],"meningitis,":[36,42,85],"progression":[38],"rate":[39],"recruitment":[45],"rate.":[46],"Based":[47],"on":[48],"results":[50,132],"sensitivity":[53],"analysis,":[54],"system":[56,106],"extended":[58],"into":[59],"an":[60],"optimal":[61],"control":[62],"by":[64],"incorporating":[65],"four":[66],"intervention":[67],"strategies:":[68],"prevention,":[71],"vaccination":[74,143],"susceptible":[76],"individuals,":[77],"treatments":[79],"individuals":[81],"infected":[82],"with":[83,87,140],"those":[86,92],"chronic":[88],"B,":[90],"who":[93],"are":[94,98],"coinfected.":[95],"controls":[97],"characterized":[99],"using":[100,109],"Pontryagin\u2019s":[101],"maximum":[102],"principle.":[103],"optimality":[105],"is":[107,123],"simulated":[108],"forward\u2013backward":[111],"sweep":[112],"Runge\u2013Kutta":[113],"scheme.":[114],"Subsequently,":[115],"incremental":[117],"cost\u2010effectiveness":[118],"ratio":[119],"(ICER)":[120],"analysis":[121],"method":[122],"applied":[124],"to":[125],"determine":[126],"cost\u2010effective":[129,147],"strategy.":[130],"indicate":[133],"that":[134],"combining":[135],"prevention":[138],"efforts":[139],"represents":[144],"intervention.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}