School of Technology, Malmö University, 205 06, Malmö, Sweden.
J Biol Dyn. 2012;6:1088-104. doi: 10.1080/17513758.2012.728635.
In this paper, we conduct a careful global stability analysis for a generalized cholera epidemiological model originally proposed in [J. Wang and S. Liao, A generalized cholera model and epidemic/endemic analysis, J. Biol. Dyn. 6 (2012), pp. 568-589]. Cholera is a water- and food-borne infectious disease whose dynamics are complicated by the multiple interactions between the human host, the pathogen, and the environment. Using the geometric approach, we rigorously prove the endemic global stability for the cholera model in three-dimensional (when the pathogen component is a scalar) and four-dimensional (when the pathogen component is a vector) systems. This work unifies the study of global dynamics for several existing deterministic cholera models. The analytical predictions are verified by numerical simulation results.
本文对 [J. Wang 和 S. Liao，A generalized cholera model and epidemic/endemic analysis，J. Biol. Dyn. 6 (2012)，pp. 568-589] 中提出的广义霍乱流行模型进行了仔细的全局稳定性分析。霍乱是一种水源性和食源性传染病，其动态受到人类宿主、病原体和环境之间多种相互作用的影响。我们使用几何方法，严格证明了在三维（当病原体成分为标量时）和四维（当病原体成分为向量时）系统中霍乱模型的地方病全球稳定性。这项工作统一了几个现有的确定性霍乱模型的全局动力学研究。通过数值模拟结果验证了分析预测。
