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An epidemic model for the transmission dynamics of HIV and another pathogen

Published online by Cambridge University Press:  17 February 2009

S. M. Moghadas  and
A. B. Gumel
S. M. Moghadas
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada; e-mail: [email protected] and [email protected].
A. B. Gumel
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada; e-mail: [email protected] and [email protected].
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Abstract

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A five-dimensional deterministic model is proposed for the dynamics between HIV and another pathogen within a given population. The model exhibits four equilibria: a disease-free equilibrium, an HIV-free equilibrium, a pathogen-free equilibrium and a co-existence equilibrium. The existence and stability of these equilibria are investigated. A competitive finite-difference method is constructed for the solution of the non-linear model. The model predicts the optimal therapy level needed to eradicate both diseases.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 2 , October 2003 , pp. 181 - 193
Copyright
Copyright © Australian Mathematical Society 2003

References

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