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Analysis of a sex-structured HIV/AIDS model with the effect of screening of infectives.
- Source :
- International Journal of Biomathematics; Sep2014, Vol. 7 Issue 5, p-1, 15p
- Publication Year :
- 2014
-
Abstract
- This paper presents a nonlinear sex-structured mathematical model to study the spread of HIV/AIDS by considering transmission of disease by heterosexual contact. The epidemic threshold and equilibria for the model are determined, local stability and global stability of both the "Disease-Free Equilibrium" (DFE) and "Endemic Equilibrium" (EE) are discussed in detail. The DFE is shown to be locally and globally stable when the basic reproductive number ℛ<subscript>0</subscript> is less than unity. We also prove that the EE is locally and globally asymptotically stable under some conditions. Finally, numerical simulations are reported to support the analytical findings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 7
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 97545576
- Full Text :
- https://doi.org/10.1142/S1793524514500545