Stability analysis and application of a mathematical cholera model

2011, Volume 8, Issue 3: 733-752. doi: 10.3934/mbe.2011.8.733

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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

Received: 01 July 2010 Accepted: 29 June 2018 Published: 01 June 2011
MSC : Primary: 34D20, 92D30.

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

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Abstract

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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