A Class Age-Structured HIV/AIDS Model with Impulsive Drug-Treatment Strategy

Helong Liu and Lianbing Li

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-12

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 𠑇 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 𠑇 and drug-treatment proportion ð ‘ satisfy ð ‘… ( ð ‘ , 𠑇 ) < 1 . This result shows that the prevention effects can drive HIV/AIDS epidemic towards to elimination.

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2010/758745.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2010/758745.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:758745

DOI: 10.1155/2010/758745

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().