Stability Analysis In A Epidemic Model With Stage Structure

This paper is concerned with the problem of different factors with stage struc-ture and the virus is variation epidemic models,In this paper,we mainly consider it as follow:Section one:Mainly introduces the development of the infectious epidemic mod-el,and how many kinds of the Infectious diseases,it’s harmful to different people in different stage, the scholars’study of the epidemic model in recent years,we careful-Iy studied the following two dynamic models which established to consider different time delays.Section two:consider a class of distributed of the SIR of disease extinction,The population can be divided into two stages and the virus only transmission in adult population.a part of adult have immune body,another don’t have it.for the latter part we can move them into somewhere they will not have chance get the virus.according to analysis the full conditions prove the solution of the system is bounded.the use of Liapunov functional method of establishing a disease equilibrium of the endemic and sufficient conditions.Section three:consider a class of distributed of the Logistic model of disease ex-tinction by decision whether or not the basic reproduction number R0.when the basic reproductive number is greater than1,the disease specific formulas,Finally,the use of periodic solution of establishing a disease-free equilibrium of the global stability and local stability of endemic and equilibrium sufficient conditions.