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Stability analysis and application of a mathematical cholera model

1. School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067
2. Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529

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.
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Keywords cholera model.; Stability; equilibrium; dynamical system

Citation: Shu Liao, Jin Wang. Stability analysis and application of a mathematical cholera model. Mathematical Biosciences and Engineering, 2011, 8(3): 733-752. doi: 10.3934/mbe.2011.8.733


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