Mathematical Biosciences and Engineering (MBE)
Stability analysis and application of a mathematical cholera model
- School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China (email)
- Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, United States (email)
In this paper, we conduct a dynamical analysis of
the deterministic cholera model
proposed in . 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
Keywords: Stability, equilibrium, dynamical system, cholera model.
Mathematics Subject Classification: Primary: 34D20, 92D30.
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Received: July 2010;
Published: June 2011.