Document Type

Article

Publication Date

2012

DOI

10.1080/17513758.2012.728635

Publication Title

Journal of Biological Dynamics

Volume

6

Issue

2

Pages

1088-1104

Abstract

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.

Comments

Web of Science: "Free full-text from publisher."

Original Publication Citation

Cheng, Y. J., Wang, J., & Yang, X. X. (2012). On the global stability of a generalized cholera epidemiological model. Journal of Biological Dynamics, 6(2), 1088-1104. doi:10.1080/17513758.2012.728635

Download

Share

COinS