Discussion On Class-age-structured HIV/AIDS Models With Continuous And Impulsive Drug-treatment Strategies

Since no effective vaccine is available for HIV/AIDS, disease-control strategy is effective method to control transmission of HIV/AIDS. In this paper, we study that disease-control strategy is targeted at infected-individuals (I-control), discuss two HIV/AIDS models with continuous infection-control policy and impulsive infection-control policy, and use partial differential equations and impulsive differential equations to describe them, respectively. For the model with continuous disease-control policy, using Kuhn-Tucker conditions, we discuss an optimal policy. For the model with impulsive disease-control strategy, using the theories of impulsive differential equations, we obtain when the impulsive period T and drug-treatment proportion p satisfy Ro(p,T)< 1, HIV/AIDS transmission can be controlled.