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

S. M. Moghadas, A. B. Gumel

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)181-193
Number of pages13
JournalANZIAM Journal
Volume45
Issue number2
DOIs
StatePublished - Oct 1 2003
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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