Mathematical analysis of a sex-structured HIV/AIDS model with a discrete time delay
Zindoga Mukandavire;
Christinah Chiyaka;
Winston Garira;
Godfrey Musuka;
(2009)
Mathematical analysis of a sex-structured HIV/AIDS model with a discrete time delay.
Nonlinear analysis, theory, methods & applications, 71 (3-4).
pp. 1082-1093.
ISSN 0362-546X
DOI: 10.1016/j.na.2008.11.026
A sex-structured mathematical model for heterosexual transmission of HIV/AIDS with explicit incubation period is presented as a system of discrete delay differential equations. The epidemic threshold and equilibria for the model are determined and stabilities are examined. The disease-free equilibrium is shown to be locally and globally stable when the basic reproductive number R0 is less than unity. We use the Lyapunov functional approach to show that the endemic equilibrium is locally asymptotically stable. Further comprehensive qualitative analysis of the model including persistence and permanence are investigated. © 2008 Elsevier Ltd. All rights reserved.
| Item Type | Article |
|---|---|
| Keywords | HIV/AIDS model, Delay, Reproductive number, Stability, Persistence, Permanence, transmission, dynamics |
| ISI | 266699600037 |