Class-age-structured HIV/AIDS Models With Drug-treatment Strategies

In this paper, we discuss two disease-control strategies:continuous infection-control policy and impulsive infection-control policies. The infection-control for HIV infected-individuals is realized by drug-treatment. According to characteristics of HIV/AIDS transmission and infection-control policies, the models only include infective class and AIDS class; infected population is a state at birth, AIDS population is not a state at birth; and the progress of HIV/AIDS depends on infection age (the time since infection) and disease age (the time elapsed since the onset). For the model with continuous disease-control policy, considering economic constraints, we discuss an optimal policy under which infected population growing can be prevented. For the model with impulsive disease-control strategy, we demonstrate the effect of the impulsive drug-treatment:when the impulsive period T and drug-treatment proportion p satisfy R0(p,T)< 1, the policy can control HIV/AIDS transmission.