{"id":"https://openalex.org/W4390948865","doi":"https://doi.org/10.3934/math.2024216","title":"Mathematical analysis and numerical simulations of the piecewise dynamics model of Malaria transmission: A case study in Yemen","display_name":"Mathematical analysis and numerical simulations of the piecewise dynamics model of Malaria transmission: A case study in Yemen","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4390948865","doi":"https://doi.org/10.3934/math.2024216"},"language":"en","primary_location":{"id":"doi:10.3934/math.2024216","doi":"https://doi.org/10.3934/math.2024216","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2024216","pdf_url":"http://www.aimspress.com/aimspress-data/math/2024/2/PDF/math-09-02-216.pdf","source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://www.aimspress.com/aimspress-data/math/2024/2/PDF/math-09-02-216.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066453993","display_name":"Khaled Aldwoah","orcid":"https://orcid.org/0000-0001-5731-3532","observed_orcids":["https://orcid.org/0000-0001-5731-3532"]},"institutions":[{"id":"https://openalex.org/I4210151290","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210151290"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"K. A. Aldwoah","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Islamic University of Madinah, Al Madinah 42351, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Al Madinah 42351, Saudi Arabia","institution_ids":["https://openalex.org/I4210151290"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020974388","display_name":"Mohammed A. \u202cAlmalahi","orcid":"https://orcid.org/0000-0001-5719-086X","observed_orcids":["https://orcid.org/0000-0001-5719-086X"]},"institutions":[{"id":"https://openalex.org/I4405254395","display_name":"Hajjah University","ror":"https://ror.org/01rpcwa78","country_code":"YE","type":"education","lineage":["https://openalex.org/I4405254395"]}],"countries":["YE"],"is_corresponding":false,"raw_author_name":"Mohammed A. Almalahi","raw_affiliation_strings":["Department of Mathematics, Hajjah University, Hajjah, Yemen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hajjah University, Hajjah, Yemen","institution_ids":["https://openalex.org/I4405254395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064904308","display_name":"Mansour A. Abdulwasaa","orcid":"https://orcid.org/0000-0002-2517-9233","observed_orcids":["https://orcid.org/0000-0002-2517-9233"]},"institutions":[{"id":"https://openalex.org/I165259314","display_name":"Dr. Babasaheb Ambedkar Marathwada University","ror":"https://ror.org/033pfj584","country_code":"IN","type":"education","lineage":["https://openalex.org/I165259314"]},{"id":"https://openalex.org/I36197038","display_name":"Taiz University","ror":"https://ror.org/03jwcxq96","country_code":"YE","type":"education","lineage":["https://openalex.org/I36197038"]}],"countries":["IN","YE"],"is_corresponding":false,"raw_author_name":"Mansour A. Abdulwasaa","raw_affiliation_strings":["Department of Statistics, BAMU University, Aurangabad, (M.S), India","Department of Statistics, Taiz University, Taiz, Yemen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, BAMU University, Aurangabad, (M.S), India","institution_ids":["https://openalex.org/I165259314"]},{"raw_affiliation_string":"Department of Statistics, Taiz University, Taiz, Yemen","institution_ids":["https://openalex.org/I36197038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073895350","display_name":"Kamal Shah","orcid":"https://orcid.org/0000-0002-8851-4844","observed_orcids":["https://orcid.org/0000-0002-8851-4844"]},"institutions":[{"id":"https://openalex.org/I56306041","display_name":"Lebanese American University","ror":"https://ror.org/00hqkan37","country_code":"LB","type":"education","lineage":["https://openalex.org/I56306041"]},{"id":"https://openalex.org/I68649149","display_name":"University of Malakand","ror":"https://ror.org/012xdha97","country_code":"PK","type":"education","lineage":["https://openalex.org/I68649149"]}],"countries":["LB","PK"],"is_corresponding":false,"raw_author_name":"Kamal Shah","raw_affiliation_strings":["Department of Computer Science and Mathematics, Lebanese American University, Byblos Lebanon","Department of Mathematics, University of Malakand, Chakdara Dir (Lower), 18000 Khyber Pakhtunkhawa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematics, Lebanese American University, Byblos Lebanon","institution_ids":["https://openalex.org/I56306041"]},{"raw_affiliation_string":"Department of Mathematics, University of Malakand, Chakdara Dir (Lower), 18000 Khyber Pakhtunkhawa, Pakistan","institution_ids":["https://openalex.org/I68649149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038944177","display_name":"Sunil V. Kawale","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I165259314","display_name":"Dr. Babasaheb Ambedkar Marathwada University","ror":"https://ror.org/033pfj584","country_code":"IN","type":"education","lineage":["https://openalex.org/I165259314"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunil V. Kawale","raw_affiliation_strings":["Department of Statistics, BAMU University, Aurangabad, (M.S), India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, BAMU University, Aurangabad, (M.S), India","institution_ids":["https://openalex.org/I165259314"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060006810","display_name":"Muath Awadalla","orcid":"https://orcid.org/0000-0002-6447-6361","observed_orcids":["https://orcid.org/0000-0002-6447-6361"]},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Muath Awadalla","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052075016","display_name":"Jihan Alahmadi","orcid":"https://orcid.org/0000-0003-1457-6927","observed_orcids":["https://orcid.org/0000-0003-1457-6927"]},"institutions":[{"id":"https://openalex.org/I142608572","display_name":"Prince Sattam Bin Abdulaziz University","ror":"https://ror.org/04jt46d36","country_code":"SA","type":"education","lineage":["https://openalex.org/I142608572"]},{"id":"https://openalex.org/I165259314","display_name":"Dr. Babasaheb Ambedkar Marathwada University","ror":"https://ror.org/033pfj584","country_code":"IN","type":"education","lineage":["https://openalex.org/I165259314"]},{"id":"https://openalex.org/I36197038","display_name":"Taiz University","ror":"https://ror.org/03jwcxq96","country_code":"YE","type":"education","lineage":["https://openalex.org/I36197038"]},{"id":"https://openalex.org/I4210151290","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210151290"]},{"id":"https://openalex.org/I4405254395","display_name":"Hajjah University","ror":"https://ror.org/01rpcwa78","country_code":"YE","type":"education","lineage":["https://openalex.org/I4405254395"]},{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]},{"id":"https://openalex.org/I56306041","display_name":"Lebanese American University","ror":"https://ror.org/00hqkan37","country_code":"LB","type":"education","lineage":["https://openalex.org/I56306041"]},{"id":"https://openalex.org/I68649149","display_name":"University of Malakand","ror":"https://ror.org/012xdha97","country_code":"PK","type":"education","lineage":["https://openalex.org/I68649149"]}],"countries":["IN","LB","PK","SA","YE"],"is_corresponding":true,"raw_author_name":"Jihan Alahmadi","raw_affiliation_strings":["Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia","Department of Computer Science and Mathematics, Lebanese American University, Byblos Lebanon","Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi Arabia","Department of Mathematics, Faculty of Science, Islamic University of Madinah, Al Madinah 42351, Saudi Arabia","Department of Mathematics, Hajjah University, Hajjah, Yemen","Department of Mathematics, University of Malakand, Chakdara Dir (Lower), 18000 Khyber Pakhtunkhawa, Pakistan","Department of Statistics, BAMU University, Aurangabad, (M.S), India","Department of Statistics, Taiz University, Taiz, Yemen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]},{"raw_affiliation_string":"Department of Computer Science and Mathematics, Lebanese American University, Byblos Lebanon","institution_ids":["https://openalex.org/I56306041"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Al Madinah 42351, Saudi Arabia","institution_ids":["https://openalex.org/I4210151290"]},{"raw_affiliation_string":"Department of Mathematics, Hajjah University, Hajjah, Yemen","institution_ids":["https://openalex.org/I4405254395"]},{"raw_affiliation_string":"Department of Mathematics, University of Malakand, Chakdara Dir (Lower), 18000 Khyber Pakhtunkhawa, Pakistan","institution_ids":["https://openalex.org/I68649149"]},{"raw_affiliation_string":"Department of Statistics, BAMU University, Aurangabad, (M.S), India","institution_ids":["https://openalex.org/I165259314"]},{"raw_affiliation_string":"Department of Statistics, Taiz University, Taiz, Yemen","institution_ids":["https://openalex.org/I36197038"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5052075016"],"corresponding_institution_ids":["https://openalex.org/I142608572","https://openalex.org/I165259314","https://openalex.org/I36197038","https://openalex.org/I4210151290","https://openalex.org/I4405254395","https://openalex.org/I4626487","https://openalex.org/I56306041","https://openalex.org/I68649149"],"apc_list":{"value":1200,"currency":"USD","value_usd":1200},"apc_paid":{"value":1200,"currency":"USD","value_usd":1200},"fwci":7.9889,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.98912914,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"9","issue":"2","first_page":"4376","last_page":"4408"},"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":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/malaria-transmission-dynamics","display_name":"malaria transmission dynamics","score":0.8669999837875366},{"id":"https://openalex.org/keywords/caputo-fabrizio-fractional-derivative","display_name":"Caputo-Fabrizio derivative","score":0.9710000157356262},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.9139999747276306},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.8460000157356262},{"id":"https://openalex.org/keywords/positivity-and-boundedness-of-solutions","display_name":"positivity and boundedness of solutions","score":0.8539999723434448},{"id":"https://openalex.org/keywords/arima-forecasting","display_name":"ARIMA forecasting","score":0.8399999737739563},{"id":"https://openalex.org/keywords/adams-bashforth-method","display_name":"Adams-Bashforth method","score":0.8009999990463257},{"id":"https://openalex.org/keywords/yemen","display_name":"Yemen","score":0.6389999985694885}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6693084239959717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5458016395568848},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5376436114311218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5221717357635498},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.48676466941833496},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.47077107429504395},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4517402946949005},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4297773540019989},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4164552390575409},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3243491053581238},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14639705419540405},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09974098205566406},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3934/math.2024216","doi":"https://doi.org/10.3934/math.2024216","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2024216","pdf_url":"http://www.aimspress.com/aimspress-data/math/2024/2/PDF/math-09-02-216.pdf","source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e794763690cd4052b43167845360305f","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/e794763690cd4052b43167845360305f","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,"listed_in":[],"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":"AIMS Mathematics, Vol 9, Iss 2, Pp 4376-4408 (2024)","raw_type":"article"},{"id":"doi:10.60692/254gv-e2k92","doi":"https://doi.org/10.60692/254gv-e2k92","is_oa":true,"landing_page_url":"https://doi.org/10.60692/254gv-e2k92","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.60692/83cd1-nky73","doi":"https://doi.org/10.60692/83cd1-nky73","is_oa":true,"landing_page_url":"https://doi.org/10.60692/83cd1-nky73","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.3934/math.2024216","doi":"https://doi.org/10.3934/math.2024216","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2024216","pdf_url":"http://www.aimspress.com/aimspress-data/math/2024/2/PDF/math-09-02-216.pdf","source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.428600013256073,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G153705873","display_name":null,"funder_award_id":"PSAU/ 2024 / R / 1445","funder_id":"https://openalex.org/F4320311227","funder_display_name":"Prince Sattam bin Abdulaziz University"},{"id":"https://openalex.org/G1958628557","display_name":null,"funder_award_id":"PSAU/2024/R/1445","funder_id":"https://openalex.org/F4320331156","funder_display_name":"King Faisal University"}],"funders":[{"id":"https://openalex.org/F4320311227","display_name":"Prince Sattam bin Abdulaziz University","ror":"https://ror.org/04jt46d36"},{"id":"https://openalex.org/F4320331150","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74"},{"id":"https://openalex.org/F4320331156","display_name":"King Faisal University","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4390948865.pdf","grobid_xml":"https://content.openalex.org/works/W4390948865.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W2036772678","https://openalex.org/W2112680994","https://openalex.org/W2266990400","https://openalex.org/W2594146269","https://openalex.org/W2889332605","https://openalex.org/W2936966395","https://openalex.org/W2941966028","https://openalex.org/W2968242297","https://openalex.org/W3010655013","https://openalex.org/W3036593846","https://openalex.org/W3048058985","https://openalex.org/W3095101036","https://openalex.org/W3135957266","https://openalex.org/W3138149347","https://openalex.org/W3139298225","https://openalex.org/W4206978936","https://openalex.org/W4207027629","https://openalex.org/W4220729384","https://openalex.org/W4224233551","https://openalex.org/W4280582122","https://openalex.org/W4289443673","https://openalex.org/W4309741012","https://openalex.org/W4311986526","https://openalex.org/W4318776441","https://openalex.org/W4362585227","https://openalex.org/W4379380229","https://openalex.org/W4381510098","https://openalex.org/W4385912876","https://openalex.org/W4386246301","https://openalex.org/W4386997103","https://openalex.org/W4387363616","https://openalex.org/W4387756604","https://openalex.org/W4389143382","https://openalex.org/W4389574693"],"related_works":["https://openalex.org/W4405804880","https://openalex.org/W7162655507","https://openalex.org/W4415306125","https://openalex.org/W7125399995","https://openalex.org/W4285033605","https://openalex.org/W4387756604","https://openalex.org/W4398141579","https://openalex.org/W7167599352","https://openalex.org/W7165966014","https://openalex.org/W4401865726"],"abstract_inverted_index":{"This":[0],"study":[1,69],"presents":[2],"a":[3,13,99],"mathematical":[4],"model":[5,61],"capturing":[6],"Malaria":[7,44],"transmission":[8],"dynamics":[9],"in":[10,46],"Yemen,":[11],"incorporating":[12],"social":[14],"hierarchy":[15],"structure.":[16],"Piecewise":[17],"Caputo-Fabrizio":[18],"derivatives":[19],"are":[20,105,113],"utilized":[21],"to":[22,35,50,124],"effectively":[23],"capture":[24],"intricate":[25],"dynamics,":[26],"discontinuities,":[27],"and":[28,39,54,78,85,102,127],"different":[29],"behaviors.":[30],"Statistical":[31],"data":[32],"from":[33,48],"2000":[34],"2021":[36],"is":[37,96],"collected":[38],"analyzed,":[40],"providing":[41],"predictions":[42],"for":[43],"cases":[45],"Yemen":[47],"2022":[49],"2024":[51],"using":[52,98,107],"Eviews":[53],"Autoregressive":[55],"Integrated":[56],"Moving":[57],"Average":[58],"models.":[59],"The":[60,92,111,118],"investigates":[62],"the":[63,68,89,108,129,132],"crossover":[64],"effect":[65],"by":[66],"dividing":[67],"interval":[70],"into":[71],"two":[72],"subintervals,":[73],"establishing":[74],"existence,":[75],"uniqueness,":[76],"positivity,":[77],"boundedness":[79],"of":[80,88,131],"solutions":[81,104],"through":[82,116],"fixed-point":[83],"techniques":[84],"fractional-order":[86],"properties":[87],"Laplace":[90],"transformation.":[91],"basic":[93],"reproduction":[94],"number":[95],"computed":[97],"next-generation":[100],"technique,":[101],"numerical":[103],"obtained":[106,119],"Adams-Bashforth":[109],"method.":[110],"results":[112,120],"comprehensively":[114],"discussed":[115],"graphs.":[117],"can":[121],"help":[122],"us":[123],"better":[125],"control":[126],"predict":[128],"spread":[130],"disease.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":9}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-01-18T00:00:00"}
