A Class Age-Structured HIVAIDS Model with Impulsive Drug-Treatment Strategy

Abstract EN

We formulate an HIV/AIDS transmission model that considers the dependence of HIV/AIDS progress on infection age (the time since infection), disease age (the time elapsed since the onset), and impulsive antiretroviral treatment.

Since no effective vaccine is available for HIV/AIDS, our impulsive disease-control strategy is targeted at infected individuals (I control).

Thus the model only includes infective class and AIDS class: infected population is the state at birth, and AIDS population is not the state at birth.

Assuming the theoretical strategy can provide HIV testing for risk population groups every T years and immediate antiretroviral treatment for HIV-positive people.

The action is approximated by impulsive differential equations.

We demonstrate the effect of the impulsive drug treatment and show that there exists a globally stable infection-free state when the impulsive period Tand drug-treatment proportion p satisfy R(p,T)<1.

This result shows that the prevention effects can drive HIV/AIDS epidemic towards to elimination.