Study Of Epidemic Models With Impulsive Effects And Infection Age

Initiating early treatment has the benefit of reducing or avoid-ing the irreversible damage done by HIV and opportunistic infections. According to this characteristic, This paper develops a structured model of HIV/AIDS for a population in which only the infective individuals whose infection age is less than that are treated by drugs firstly. The analytical results show even if the other infective individuals are not treated, this strategy can result in eradication of HIV/AIDS as long as these infective individuals have some intrinsic death rate, i.e., there exists a globally stable infection-free state when the impulsive period Tand drug-treatment proportionpsatisfy R\(p,T,r)<1. Additionally the paper also analyzes the eradication of HIV as t->+00. And then an SIVS epidemic model for vector-transmission is formulated in this paper, where the model includes a pulse vaccination strategy and time delay. The disease-free periodic solution of the system is obtained. The analytical results show that there is an impulsive period T and a vaccination proportion p such that Ro(P-T, r)<.1to which the periodic solution is globally stable.