Modeling and optimal control of COVID-19 with comorbidity and three-dose vaccination in Indonesia
作者机构：Department of MathematicsFaculty of Science and TechnologyUniversitas AirlanggaSurabayaIndonesia Department of MathematicsUniversitas Islam Negeri SalatigaSalatigaIndonesia Department of EpidemiologyBiostatisticsPopulation and Health PromotionFaculty of Public HealthUniversitas AirlanggaSurabayaIndonesia Department of MathematicsFaculty of Mathematics and Natural SciencesUniversitas IndonesiaDepokIndonesia Department of Mathematics and Applied MathematicsUniversity of JohannesburgAuckland ParkSouth Africa Department of Applied SciencesEmirates Aviation UniversityUnited Arab Emirates
出 版 物：《Journal of Biosafety and Biosecurity》 (生物安全和生物安保杂志（英文）)
年 卷 期：2024年第6卷第3期
页 面：181-195页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：substantially supported by PUA Universitas Airlangga(Project No.301/UN3.15/PT/2023)
主 题：COVID-19 Comorbidity Stability Herd immunity Optimal control Cost evaluation
摘 要：This paper presents and examines a COVID-19 model that takes comorbidities and up to three vaccine doses into *** analyze the stability of the equilibria,examine herd immunity,and conduct a sensitivity analysis validated by data on COVID-19 in *** disease-free equilibrium is locally and globally asymptotically stable whenever the basic reproduction number is less than one,while an endemic equilibrium exists and is globally asymptotically stable when the number is greater than ***,the model incorporates two effective measures,namely public education and enhanced medical care,to determine the most advantageous approach for mitigating the transmission of the *** optimal control model is then determined using Pontryagin’s maximum *** integrated control strategy is the best method for reliably safeguarding the general population against COVID-19 *** evaluations and numerical simulations corroborate this conclusion.
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