Studies Of Epidemic Models With Delay And Pulse Effect

It is well known that the mathematical models provide very significant informations for the research of human immunodeficiency disease. In this paper, we will study of epidemic models with delay effect and pulse.In charper 1, we concentrate on the study of virions in spreading HIV/AIDS through a mathematical model by introducing the delay effect. The stability of the equilibria of the infection model have been studied. We show that the disease is eradicated when the basic reproduction number is less than unity, and the disease is permanent when the basic respro-duction number is great than unity, and the stability switches occur near the equilibrium point also be studied.In charper 2, we investigate the dynamics of a SIVS epidemic model with pulse vacci-nation strategy and saturation incidence. we show that the disease is eradicated when the basic reproduction number is less than unity, and the disease is permanent when the basic resproduction number is great than unity.