Stability analysis and application of a mathematical cholera model

Shu Liao; Jin Wang

doi:10.3934/mbe.2011.8.733

Article Contents

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

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Stability analysis and application of a mathematical cholera model

Shu Liao^1, and
Jin Wang^2,

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: July 2010

Revised: September 2010

Published: May 2011

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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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Mathematics Subject Classification: Primary: 34D20, 92D30.

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