Dynamical Behaviors Of The Model In Tumor Virotherapy

Recently,the influence of the intracellular viral life-cycle becomes one of the important problem in tumor virotherapy.At the same time,more and more experts and scholars began to establish tumor virotherapy models and study the related dynamical behaviors.This paper aims at studying the general model proposed by Wodarz etc al.Michaelis-Menten function are used to show the rate at which tumor cells infected by the virus.Time delay and di?usion terms are also introduced in the model of Wodarz etc al.The rich dynamical behaviors of this model are given.This paper is divided into three chapters.In the first chapter,we introduce the background of the influence of the intracellular viral life-cycle in tumor virotherapy.In the second chapter,the dynamical behaviors of the delayed tumor virotherapy model are shown,which including the existence and stability of equilibria,the properties of the Hopf bifurcated periodic solutions and the steady bifurcated periodic solutions.With the help of the basic theory of partial di?erential equation,the local dynamical behaviors of the reaction-diffusion tumor virothepy model are given.