An HIV Model With Initiating Antiretroviral Therapies

Abstract:Initiating early treatment has the benefit of reducing or avoiding the irreversible damage done by HIV and opportunistic infections. The paper develops a structured model of HIV/AIDS for a population in which only the infective individuals whose infection age9is less than τ are treated by drugs,τ is the time at which infected patients have irreversible damage to the immune system. The analytical results show there exists a globally stable infection-free state when the impulsive period T and drug-treatment proportion p satisfy Ri(p,T,τ)<1,,which implies that even if the other infective individuals are not treated, this strategy can result in eradication of HIV/AIDS. Additionally the paper also analyzes the eradication of HIV as τ approaches+∞.