We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
A Class Age-Structured HIV/AIDS Model with Impulsive Drug-Treatment Strategy.
- Authors
Helong Liu; Lianbing Li
- Abstract
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 T and drug-treatment proportion p satisfy R (p, T) < 1. This result shows that the prevention effects can drive HIV/AIDS epidemic towards to elimination.
- Subjects
HIV infections; DIFFERENTIAL equations; EPIDEMICS; CALCULUS; MATHEMATICAL models
- Publication
Discrete Dynamics in Nature & Society, 2010, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2010/758745