The Incubation Period And Isolation Of Infectious Disease Model And Immunization

Infectious diseases have been harmful to human health since too many years ago.Some of them bring pain and panic to human, and even lead to the destruction of acountry, such as the plague and leprosy. So the impact of infectious diseases to humanbeings is quite obvious, and its popularity and spread may bring us a huge disaster.Withthe development of the society, some infectious diseases which have been died out orcontrolled are resurgent and spreading. Some new infectious diseases are also appearing.In this paper, on the basis of previous studies infectious disease model,we set up threekinds of different infectious disease dynamics model, and prove the stability of themodel.Firstly, this paper introduces the status of infectious disease model, including theresearch background and related basic concepts, theorems, lemma and so on. And themain contents of this paper was introduced in this part.Secondly, this paper discuss the latent period and infected period are SEIQRepidemic model of transmission, differential equation of the relevant knowledge, toanalyze the behavior of dynamics model, using the method of Lyapunov function,LaSalle deformation principle and second additive compound matrix theory to discussthe stability of the equilibrium to get the threshold disease or not the threshold valueR0.Thirdly, this paper discuss the existence and the stability of the disease-freeperiodic under the effect of the SEIQR epidemic model. And prove the globalasymptotic stability of the disease-free periodic using the Kamke theorem and the limitequation.Finally, we analyze the SIQR epidemic model vertical transmission and impulsivevaccination. The existence and globally symptotical stability of the disease-free periodicsolution are proved offered the sufficient condition of system condidtent with sustainedby using the Floquet Theorern of impulsive differential equation and the Com-parisonTheorem.