{"id":"https://openalex.org/W4405016300","doi":"https://doi.org/10.3389/fams.2024.1460481","title":"Optimal control and cost-effectiveness analysis for bacterial meningitis disease","display_name":"Optimal control and cost-effectiveness analysis for bacterial meningitis disease","publication_year":2024,"publication_date":"2024-12-04","ids":{"openalex":"https://openalex.org/W4405016300","doi":"https://doi.org/10.3389/fams.2024.1460481"},"language":"en","primary_location":{"id":"doi:10.3389/fams.2024.1460481","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1460481","pdf_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2024.1460481/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2024.1460481/pdf","any_repository_has_fulltext":false},"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, CNCS, University of Gondar, Gondar, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CNCS, University of Gondar, Gondar, Ethiopia","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112049866","display_name":"Jeconia Okelo Abonyo","orcid":"https://orcid.org/0009-0002-9439-4110"},"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 Okelo Abonyo","raw_affiliation_strings":["Applied Mathematics, COPAS, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematics, COPAS, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya","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, CNCS, University of Gondar, Gondar, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CNCS, University of Gondar, Gondar, Ethiopia","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000799657","display_name":"Habtamu Ayalew Engida","orcid":"https://orcid.org/0000-0003-2291-6207"},"institutions":[{"id":"https://openalex.org/I916065895","display_name":"Debre Markos University","ror":"https://ror.org/04sbsx707","country_code":"ET","type":"education","lineage":["https://openalex.org/I916065895"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Habtamu Ayalew Engida","raw_affiliation_strings":["Department of Mathematics, CNCS, Debre Markos University, Debre Markos, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CNCS, Debre Markos University, Debre Markos, Ethiopia","institution_ids":["https://openalex.org/I916065895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010392690","display_name":"Melkamu Molla Ferede","orcid":"https://orcid.org/0000-0003-2213-7254"},"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":"Melkamu Molla Ferede","raw_affiliation_strings":["Department of Statistics, CNCS, University of Gondar, Gondar, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, CNCS, University of Gondar, Gondar, Ethiopia","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114996998","display_name":"Samuel Abebe Delnessaw","orcid":null},"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":"Samuel Abebe Delnessaw","raw_affiliation_strings":["Department of Mathematics, CNCS, University of Gondar, Gondar, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CNCS, University of Gondar, Gondar, Ethiopia","institution_ids":["https://openalex.org/I8764889"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5031531502"],"corresponding_institution_ids":["https://openalex.org/I8764889"],"apc_list":{"value":1150,"currency":"USD","value_usd":1150},"apc_paid":{"value":1150,"currency":"USD","value_usd":1150},"fwci":0.9179,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75787535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"10","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10873","display_name":"Bacterial Infections and Vaccines","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2404","display_name":"Microbiology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10873","display_name":"Bacterial Infections and Vaccines","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2404","display_name":"Microbiology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10654","display_name":"Pneumonia and Respiratory Infections","score":0.9950000047683716,"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"}},{"id":"https://openalex.org/T10665","display_name":"Cystic Fibrosis Research Advances","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"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/bacterial-meningitis","display_name":"Bacterial meningitis","score":0.5490914583206177},{"id":"https://openalex.org/keywords/meningitis","display_name":"Meningitis","score":0.5064791440963745},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.50126051902771},{"id":"https://openalex.org/keywords/disease","display_name":"Disease","score":0.4815007448196411},{"id":"https://openalex.org/keywords/disease-control","display_name":"Disease control","score":0.46721377968788147},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4160093665122986},{"id":"https://openalex.org/keywords/intensive-care-medicine","display_name":"Intensive care medicine","score":0.3699652850627899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.329847127199173},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.20928654074668884},{"id":"https://openalex.org/keywords/pediatrics","display_name":"Pediatrics","score":0.2044740617275238},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.16418075561523438},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15062054991722107}],"concepts":[{"id":"https://openalex.org/C3018430615","wikidata":"https://www.wikidata.org/wiki/Q48143","display_name":"Bacterial meningitis","level":3,"score":0.5490914583206177},{"id":"https://openalex.org/C2781026528","wikidata":"https://www.wikidata.org/wiki/Q48143","display_name":"Meningitis","level":2,"score":0.5064791440963745},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.50126051902771},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.4815007448196411},{"id":"https://openalex.org/C2987315675","wikidata":"https://www.wikidata.org/wiki/Q1773974","display_name":"Disease control","level":2,"score":0.46721377968788147},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4160093665122986},{"id":"https://openalex.org/C177713679","wikidata":"https://www.wikidata.org/wiki/Q679690","display_name":"Intensive care medicine","level":1,"score":0.3699652850627899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.329847127199173},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.20928654074668884},{"id":"https://openalex.org/C187212893","wikidata":"https://www.wikidata.org/wiki/Q123028","display_name":"Pediatrics","level":1,"score":0.2044740617275238},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.16418075561523438},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15062054991722107}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3389/fams.2024.1460481","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1460481","pdf_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2024.1460481/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:95b4155286e84b358b2bb4ce0fb941bd","is_oa":false,"landing_page_url":"https://doaj.org/article/95b4155286e84b358b2bb4ce0fb941bd","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fams.2024.1460481","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1460481","pdf_url":"https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2024.1460481/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4405016300.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W231975775","https://openalex.org/W1480118190","https://openalex.org/W2020521246","https://openalex.org/W2038941775","https://openalex.org/W2079758803","https://openalex.org/W2082927485","https://openalex.org/W2180090105","https://openalex.org/W2334591577","https://openalex.org/W2503143097","https://openalex.org/W2625650054","https://openalex.org/W2790746289","https://openalex.org/W2794679918","https://openalex.org/W2807800060","https://openalex.org/W2892849451","https://openalex.org/W2905412368","https://openalex.org/W2944978160","https://openalex.org/W2971138500","https://openalex.org/W2990229545","https://openalex.org/W3037301559","https://openalex.org/W3082117970","https://openalex.org/W3117754116","https://openalex.org/W3157098638","https://openalex.org/W3166073743","https://openalex.org/W3203383468","https://openalex.org/W3216774382","https://openalex.org/W4234303565","https://openalex.org/W4312572774","https://openalex.org/W6627957080","https://openalex.org/W6796639052"],"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/W2019104222","https://openalex.org/W2075617988","https://openalex.org/W2506526660","https://openalex.org/W1980010510","https://openalex.org/W2520807037"],"abstract_inverted_index":{"In":[0],"this":[1,112],"study,":[2],"we":[3,44],"developed":[4],"an":[5,74],"optimal":[6],"control":[7,82],"deterministic":[8],"model":[9],"for":[10,124],"the":[11,22,27,36,51,61,64,67,85,98,106,125],"dynamics":[12],"of":[13,26,38,63,69,118],"bacterial":[14,39,70],"meningitis":[15],"disease.":[16],"The":[17,88,102],"objective":[18,103],"was":[19,84],"to":[20,49,59,79],"investigate":[21,60],"efficiency":[23],"and":[24,32,95,105,120],"cost-effectiveness":[25,76,108],"three":[28],"controls":[29],"(prevention,":[30],"treatment,":[31],"screening)":[33],"in":[34],"curtailing":[35],"spread":[37,68],"meningitis.":[40,71],"To":[41],"accomplish":[42],"this,":[43],"applied":[45],"Pontryagin's":[46],"maximum":[47,116],"principle":[48],"derive":[50],"optimality":[52],"system.":[53],"We":[54,72],"examined":[55],"different":[56],"combination":[57],"strategies":[58],"effect":[62],"interventions":[65],"on":[66],"used":[73],"incremental":[75,107],"ratio":[77,109],"(ICER)":[78],"examine":[80],"which":[81],"technique":[83],"most":[86,99],"successful.":[87],"simulation":[89],"results":[90],"show":[91],"that":[92,115],"combining":[93],"prevention":[94,119],"screening":[96,121],"is":[97,122],"cost-effective":[100],"strategy.":[101],"function":[104],"further":[110],"support":[111],"result,":[113],"indicating":[114],"utilization":[117],"required":[123],"entire":[126],"period.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}