M. Yavuz, Fatma Özlem Coşar, Fatma Günay, F. Özdemi̇r
{"title":"A New Mathematical Modeling of the COVID-19 Pandemic Including the Vaccination Campaign","authors":"M. Yavuz, Fatma Özlem Coşar, Fatma Günay, F. Özdemi̇r","doi":"10.4236/ojmsi.2021.93020","DOIUrl":null,"url":null,"abstract":"In a short time, many illustrative studies have been \nconducted on the mathematical modeling and analysis of COVID-19. There are not \nenough studies taking into account the vaccine campaign among these studies. In \nthis context, a mathematical model is developed to reveal the effects of \nvaccine treatment, which has been performed recently, on COVID-19 in this \nstudy. In the proposed model, as well as the vaccinated individuals, a \nfive-dimensional compartment system including the susceptible, infected, \nexposed and recovered population is constructed. Moreover, besides the \npositivity, existence and uniqueness of the solution, biologically feasible \nregion are provided. The basic reproduction number known as expected secondary infection which means \nthat expected infection among the susceptible populations caused by this \ninfection is evaluated. In the numerical simulations, the parameter values \ntaken from the literature and estimated are used to perform the solutions of \nthe proposed model. Fourth-order Runge-Kutta numerical scheme is applied to \nobtain the results.","PeriodicalId":56990,"journal":{"name":"建模与仿真(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"47","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"建模与仿真(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/ojmsi.2021.93020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 47
Abstract
In a short time, many illustrative studies have been
conducted on the mathematical modeling and analysis of COVID-19. There are not
enough studies taking into account the vaccine campaign among these studies. In
this context, a mathematical model is developed to reveal the effects of
vaccine treatment, which has been performed recently, on COVID-19 in this
study. In the proposed model, as well as the vaccinated individuals, a
five-dimensional compartment system including the susceptible, infected,
exposed and recovered population is constructed. Moreover, besides the
positivity, existence and uniqueness of the solution, biologically feasible
region are provided. The basic reproduction number known as expected secondary infection which means
that expected infection among the susceptible populations caused by this
infection is evaluated. In the numerical simulations, the parameter values
taken from the literature and estimated are used to perform the solutions of
the proposed model. Fourth-order Runge-Kutta numerical scheme is applied to
obtain the results.