{"id":"https://openalex.org/W7151330920","doi":"https://doi.org/10.1007/s12190-026-02806-y","title":"A computational model of varicella dynamics with age-dependent waning immunity: stability, parameter estimation, and optimal control via finite difference schemes","display_name":"A computational model of varicella dynamics with age-dependent waning immunity: stability, parameter estimation, and optimal control via finite difference schemes","publication_year":2026,"publication_date":"2026-04-01","ids":{"openalex":"https://openalex.org/W7151330920","doi":"https://doi.org/10.1007/s12190-026-02806-y"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-026-02806-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02806-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009233656","display_name":"Abdellah Ouakka","orcid":"https://orcid.org/0000-0003-2000-444X"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Abdellah Ouakka","raw_affiliation_strings":["Mathematics and Data Science Laboratory, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, Fez, Morocco, BP.1223, Taza, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Data Science Laboratory, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, Fez, Morocco, BP.1223, Taza, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133076219","display_name":"Abdelouahed Alla Hamou","orcid":null},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Abdelouahed Alla Hamou","raw_affiliation_strings":["Faculty of Sciences, Mohamed V University in Rabat, Rabat, Morocco"],"raw_orcid":"https://orcid.org/0000-0001-7480-0148","affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Mohamed V University in Rabat, Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112874178","display_name":"Abdelhai El Azzouzi","orcid":null},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Abdelhai El Azzouzi","raw_affiliation_strings":["Mathematics and Data Science Laboratory, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, Fez, Morocco, BP.1223, Taza, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Data Science Laboratory, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, Fez, Morocco, BP.1223, Taza, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053042789","display_name":"Praveen Agarwal","orcid":"https://orcid.org/0000-0001-7556-8942"},"institutions":[{"id":"https://openalex.org/I182000528","display_name":"Ajman University","ror":"https://ror.org/01j1rma10","country_code":"AE","type":"education","lineage":["https://openalex.org/I182000528"]},{"id":"https://openalex.org/I4210154633","display_name":"Inspiration Innovation Synergy University","ror":"https://ror.org/04d3d5q14","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210154633"]},{"id":"https://openalex.org/I4401726791","display_name":"Anand International College of Engineering","ror":"https://ror.org/05sy8fj60","country_code":null,"type":"education","lineage":["https://openalex.org/I4401726791"]}],"countries":["AE","IN"],"is_corresponding":false,"raw_author_name":"Praveen Agarwal","raw_affiliation_strings":["Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India","Nonlinear Dynamics Research Centre (NDRC), Ajman University, Ajman, UAE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India","institution_ids":["https://openalex.org/I4210154633","https://openalex.org/I4401726791"]},{"raw_affiliation_string":"Nonlinear Dynamics Research Centre (NDRC), Ajman University, Ajman, UAE","institution_ids":["https://openalex.org/I182000528"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5133076219"],"corresponding_institution_ids":["https://openalex.org/I126477371"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.77355664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10625","display_name":"Herpesvirus Infections and Treatments","score":0.9154999852180481,"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"}},"topics":[{"id":"https://openalex.org/T10625","display_name":"Herpesvirus Infections and Treatments","score":0.9154999852180481,"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/T11495","display_name":"Animal Virus Infections Studies","score":0.02070000022649765,"subfield":{"id":"https://openalex.org/subfields/1103","display_name":"Animal Science and Zoology"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11767","display_name":"Poxvirus research and outbreaks","score":0.014000000432133675,"subfield":{"id":"https://openalex.org/subfields/2406","display_name":"Virology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6769000291824341},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.548799991607666},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.492900013923645},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.46219998598098755},{"id":"https://openalex.org/keywords/transmissibility","display_name":"Transmissibility (structural dynamics)","score":0.4406000077724457},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4334999918937683},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.374099999666214},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.3555000126361847},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3488999903202057}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6769000291824341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5899999737739563},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.548799991607666},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5418999791145325},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.492900013923645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46639999747276306},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.46219998598098755},{"id":"https://openalex.org/C16683452","wikidata":"https://www.wikidata.org/wiki/Q7834601","display_name":"Transmissibility (structural dynamics)","level":4,"score":0.4406000077724457},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4334999918937683},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.374099999666214},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.3555000126361847},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3488999903202057},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.3400999903678894},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3221000134944916},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.2985000014305115},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C2987315675","wikidata":"https://www.wikidata.org/wiki/Q1773974","display_name":"Disease control","level":2,"score":0.2865000069141388},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2770000100135803},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.27559998631477356},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.2703000009059906},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.26919999718666077}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-026-02806-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02806-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7801679968833923,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W231975775","https://openalex.org/W637195664","https://openalex.org/W641137204","https://openalex.org/W1011433106","https://openalex.org/W1519611344","https://openalex.org/W1966207826","https://openalex.org/W1991038590","https://openalex.org/W2004585482","https://openalex.org/W2009710695","https://openalex.org/W2010365240","https://openalex.org/W2026722750","https://openalex.org/W2034853934","https://openalex.org/W2062782762","https://openalex.org/W2063373541","https://openalex.org/W2066350209","https://openalex.org/W2067450634","https://openalex.org/W2084173790","https://openalex.org/W2087275152","https://openalex.org/W2112680994","https://openalex.org/W2161014948","https://openalex.org/W2161728228","https://openalex.org/W2161876659","https://openalex.org/W2164293384","https://openalex.org/W2177434068","https://openalex.org/W2302818997","https://openalex.org/W2507255895","https://openalex.org/W2751730784","https://openalex.org/W2795125259","https://openalex.org/W2963384709","https://openalex.org/W3005016379","https://openalex.org/W3011134403","https://openalex.org/W3039698858","https://openalex.org/W3111434175","https://openalex.org/W3127335105","https://openalex.org/W3128025695","https://openalex.org/W3134846465","https://openalex.org/W3140277382","https://openalex.org/W3154625778","https://openalex.org/W4243935343","https://openalex.org/W4280544185","https://openalex.org/W4292470788","https://openalex.org/W4296142703","https://openalex.org/W4298228534","https://openalex.org/W4302609762","https://openalex.org/W4307034970","https://openalex.org/W4309607646","https://openalex.org/W4317438464","https://openalex.org/W4353070858","https://openalex.org/W4376618383","https://openalex.org/W4399147522","https://openalex.org/W4416378633"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2026-04-08T00:00:00"}