ANZIAM J.
45 (2003), 181-193
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An epidemic model for the transmission dynamics of HIV and another pathogen
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S. M. Moghadas
Department of Mathematics
University of Manitoba
Winnipeg
Manitoba R3T 2N2
Canada
moghadas@cc.umanitoba.ca
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A. B. Gumel
Department of Mathematics
University of Manitoba
Winnipeg
Manitoba R3T 2N2
Canada
gumelab@cc.umanitoba.ca
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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.
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