title: Stability analysis and application of a mathematical cholera model.
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.
authors.affiliation: School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China. sliao002@odu.edu
authors.forename: Shu
authors.initials: S
authors.lastname: Liao
authors.forename: Jin
authors.initials: J
authors.lastname: Wang
mesh_terms: D002771:Cholera / Q000453:epidemiology*; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D006801:Humans; D015994:Incidence; D015233:Models, Statistical; D016016:Proportional Hazards Models; D018570:Risk Assessment; D012307:Risk Factors; D015030:Zimbabwe / Q000453:epidemiology