{"title":"Sensitivity analysis and optimal countermeasures control of model of the spread of COVID-19 co-infection with HIV/AIDS","authors":"","doi":"10.28919/cmbn/8161","DOIUrl":null,"url":null,"abstract":"This paper analyzes and examines the optimal control in the co-infection of COVID-19 with HIV/AIDS by providing preventive and treatment control measures. The population is divided into eight subpopulations. The preventive control of COVID-19 is denoted by u1. The preventive control of HIV/AIDS is denoted by u2. The treatment control of COVID-19 is denoted by u3, and the treatment control of COVID-19 for the subpopulation co-infected with HIV/AIDS is denoted by u4. Based on the model analysis, non-endemic and endemic equilibrium points are obtained, along with the basic reproduction number of the COVID-19, HIV/AIDS, and COVID-19-HIV/AIDS sub-models. Numerical simulations reveal that using preventive control u1 is more effective in reducing the spread of COVID-19 compared to u3 or u4, both individually and together. Preventive control u2 is more effective in controlling the spread of HIV/AIDS compared to the absence of control. The sensitivity analysis of parameter identifies parameters that significantly affect the reduction or increase in the spread of COVID-19-HIV/AIDS co-infection. We found that in order to reduce the co-infection’s spread, we should pay attention to the reducing the contact rate of HIV/AIDS patients or increasing their treatment rate.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Biology and Neuroscience","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/cmbn/8161","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper analyzes and examines the optimal control in the co-infection of COVID-19 with HIV/AIDS by providing preventive and treatment control measures. The population is divided into eight subpopulations. The preventive control of COVID-19 is denoted by u1. The preventive control of HIV/AIDS is denoted by u2. The treatment control of COVID-19 is denoted by u3, and the treatment control of COVID-19 for the subpopulation co-infected with HIV/AIDS is denoted by u4. Based on the model analysis, non-endemic and endemic equilibrium points are obtained, along with the basic reproduction number of the COVID-19, HIV/AIDS, and COVID-19-HIV/AIDS sub-models. Numerical simulations reveal that using preventive control u1 is more effective in reducing the spread of COVID-19 compared to u3 or u4, both individually and together. Preventive control u2 is more effective in controlling the spread of HIV/AIDS compared to the absence of control. The sensitivity analysis of parameter identifies parameters that significantly affect the reduction or increase in the spread of COVID-19-HIV/AIDS co-infection. We found that in order to reduce the co-infection’s spread, we should pay attention to the reducing the contact rate of HIV/AIDS patients or increasing their treatment rate.
期刊介绍:
Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.