Evans O. Omorogie , Kolade M. Owolabi , Bola T. Olabode , Tunde T. Yusuf , Edson Pindza
{"title":"重新聚焦：Covid-19动态和最优控制框架","authors":"Evans O. Omorogie , Kolade M. Owolabi , Bola T. Olabode , Tunde T. Yusuf , Edson Pindza","doi":"10.1016/j.gloepi.2025.100200","DOIUrl":null,"url":null,"abstract":"<div><div>The resurgence of Covid-19, accompanied by various variants of the virus, highlights the fact that Covid-19 is still present within the population. The study proposed a Covid-19 dynamical model for analyzing the effect of vaccination and the continuous use of non-medical interventions for addressing Covid-19 transmission dynamics. The Lyaponov function and Jacobian matrix techniques were used to analyze the stability of the model's equilibria. The model was transformed into a problem of optimal control with time-dependent variables, aimed at managing efforts to prevent the spread of Covid-19. Numerical assessments were deployed to assess the effect of vaccination and the continuous use of non-medical intervention strategies to mitigate the spread of Covid-19. The global sensitivity analysis of the model was used to detect the key parameters influencing the behavior of the model. In addition, numerical results showed a significant decrease in the basic reproduction rate <span><math><mfenced><msub><mi>ℛ</mi><mn>0</mn></msub></mfenced></math></span> when implementing <span><math><mi>σ</mi></math></span> and <span><math><mi>ξ</mi></math></span>, either separately or together. The optimal control results suggested that the control measures should be consistently enforced without any relaxation.</div><div>2010 Mathematics Subject Classification: 92D30, 93C95, 49 N90, 34H05, 37 N25.</div></div>","PeriodicalId":36311,"journal":{"name":"Global Epidemiology","volume":"9 ","pages":"Article 100200"},"PeriodicalIF":0.0000,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Resurgence in focus: Covid-19 dynamics and optimal control frameworks\",\"authors\":\"Evans O. Omorogie , Kolade M. Owolabi , Bola T. Olabode , Tunde T. Yusuf , Edson Pindza\",\"doi\":\"10.1016/j.gloepi.2025.100200\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The resurgence of Covid-19, accompanied by various variants of the virus, highlights the fact that Covid-19 is still present within the population. The study proposed a Covid-19 dynamical model for analyzing the effect of vaccination and the continuous use of non-medical interventions for addressing Covid-19 transmission dynamics. The Lyaponov function and Jacobian matrix techniques were used to analyze the stability of the model's equilibria. The model was transformed into a problem of optimal control with time-dependent variables, aimed at managing efforts to prevent the spread of Covid-19. Numerical assessments were deployed to assess the effect of vaccination and the continuous use of non-medical intervention strategies to mitigate the spread of Covid-19. The global sensitivity analysis of the model was used to detect the key parameters influencing the behavior of the model. In addition, numerical results showed a significant decrease in the basic reproduction rate <span><math><mfenced><msub><mi>ℛ</mi><mn>0</mn></msub></mfenced></math></span> when implementing <span><math><mi>σ</mi></math></span> and <span><math><mi>ξ</mi></math></span>, either separately or together. The optimal control results suggested that the control measures should be consistently enforced without any relaxation.</div><div>2010 Mathematics Subject Classification: 92D30, 93C95, 49 N90, 34H05, 37 N25.</div></div>\",\"PeriodicalId\":36311,\"journal\":{\"name\":\"Global Epidemiology\",\"volume\":\"9 \",\"pages\":\"Article 100200\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-04-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Global Epidemiology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2590113325000185\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Global Epidemiology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590113325000185","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Resurgence in focus: Covid-19 dynamics and optimal control frameworks
The resurgence of Covid-19, accompanied by various variants of the virus, highlights the fact that Covid-19 is still present within the population. The study proposed a Covid-19 dynamical model for analyzing the effect of vaccination and the continuous use of non-medical interventions for addressing Covid-19 transmission dynamics. The Lyaponov function and Jacobian matrix techniques were used to analyze the stability of the model's equilibria. The model was transformed into a problem of optimal control with time-dependent variables, aimed at managing efforts to prevent the spread of Covid-19. Numerical assessments were deployed to assess the effect of vaccination and the continuous use of non-medical intervention strategies to mitigate the spread of Covid-19. The global sensitivity analysis of the model was used to detect the key parameters influencing the behavior of the model. In addition, numerical results showed a significant decrease in the basic reproduction rate when implementing and , either separately or together. The optimal control results suggested that the control measures should be consistently enforced without any relaxation.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
