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Stability Analysis of a Deterministic Epidemic Model in Metapopulation Setting

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Document pages: 13 pages

Abstract: We present in this article an epidemic model withsaturated in metapopulation setting. We develop the mathematical modelling ofHIV transmission among adults in Metapopulation setting. We discussed thepositivity of the system. We calculated the reproduction number, If  for , then each infectious individual in Sub-Population j infects on average less than oneother person and the disease is likely to die out. Otherwise, if  for , then each infectious individual in Sub-Population j infects on average more than oneother person; the infection could therefore establish itself in the populationand become endemic. An epidemic model, where the presence or absence of anepidemic wave is characterized by the value of  both ideas ofthe inner equilibrium point of stability properties are discussed.

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