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

S. M. Moghadas; A. B. Gumel

doi:10.1017/S1446181100013250

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

S. M. Moghadas, A. B. Gumel

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	181-193
Number of pages	13
Journal	ANZIAM Journal
Volume	45
Issue number	2
DOIs	https://doi.org/10.1017/S1446181100013250
State	Published - Oct 2003
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1017/S1446181100013250

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abstract = "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.",

author = "Moghadas, {S. M.} and Gumel, {A. B.}",

note = "Funding Information: This work was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC). One of the authors (S.M.M.) acknowledges the support of IIMS and the Department of Mathematics, University of Manitoba. The authors would like to thank the reviewers for their valuable comments which have improved the paper.",

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N2 - 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.

AB - 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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An epidemic model for the transmission dynamics of hiv and another pathogen

Abstract

ASJC Scopus subject areas

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