A Medium Of Infectious Disease Model Establishment And Analysis

Epidemic dynamics is a good method to prevent the disease. Epidemic dynamics studythe development process of the disease, predict the trends of the disease, find out the keyfactors of disease prevalence through the use of dynamics method.We establish mathematics model of West Nile Virus in this paper. Firstly, we discussthe model with constant birth rate for host and the Logistic growth for mosquito, get thebasic reproduction number, prove the existence and the stability of the equilibria and givethe condition of the existence of backward bifurcation. Secondly, we study the model withthe Logistic growth for host, discuss the existence of the equilibria, further more, performparameter sensitivity analysis which plays a role in the control of disease in some extent.Lastly, we study the model with general incidence function, analysis the existence and sta-bility of equilibria and give the condition of the existence of multiple endemic equilibria andbackward bifurcation.