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Applied Mathematics

Mathematics & Statistics Faculty Publications

2011

Stability

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Full-Text Articles in Life Sciences

Stability Analysis And Application Of A Mathematical Cholera Model, Shu Liao, Jim Wang Jul 2011

Stability Analysis And Application Of A Mathematical Cholera Model, Shu Liao, Jim Wang

Mathematics & Statistics Faculty Publications

In this paper, we conduct a dynamical analysis of the deterministic cholera model proposed in [9]. We study the stability of both the disease-free and endemic equilibria so as to explore the complex epidemic and endemic dynamics of the disease. We demonstrate a real-world application of this model by investigating the recent cholera outbreak in Zimbabwe. Meanwhile, we present numerical simulation results to verify the analytical predictions.