A DIFFUSIVE SVEIR EPIDEMIC MODEL WITH TIME DELAY AND GENERAL INCIDENCE  

作　　者：Jiniing ZHOU Xinsheng MA Yu YANG Tonghua ZHANG 周金玲;马新生;杨瑜;张同华(Department of Mathematics,Zhejiang International Studies University,Hangzhou 310023,China;School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China;Department of Mathematics,Swinburne University of Technology,Hawthorn,Victoria 3122,Australia)

机构地区：[1]Department of Mathematics,Zhejiang International Studies University,Hangzhou 310023,China [2]School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China [3]Department of Mathematics,Swinburne University of Technology,Hawthorn,Victoria 3122,Australia

出　　处：《Acta Mathematica Scientia》2021年第4期1385-1404,共20页数学物理学报（B辑英文版）

摘　　要：In this paper,we consider a delayed diffusive SVEIR model with general incidence.We first establish the threshold dynamics of this model.Using a Nonstandard Finite Difference(NSFD) scheme,we then give the discretization of the continuous model.Applying Lyapunov functions,global stability of the equilibria are established.Numerical simulations are presented to validate the obtained results.The prolonged time delay can lead to the elimination of the infectiousness.

关 键 词：SVEIR model VACCINATION Lyapunov function nonstandard finite difference method 

分 类 号：R186[医药卫生—流行病学] O175[医药卫生—公共卫生与预防医学]