On the global stability of a generalized cholera epidemiological model

被引：24

作者：

Cheng, Yuanji ^{[2
]}

Wang, Jin ^{[1
]}

Yang, Xiuxiang ^{[3
]}

机构：

[1] Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USA

[2] Malmo Univ, Sch Technol, S-20506 Malmo, Sweden

[3] Weinan Normal Univ, Dept Math, Weinan 714000, Shaanxi, Peoples R China

来源：

JOURNAL OF BIOLOGICAL DYNAMICS | 2012年 / 6卷 / 02期

基金：

美国国家科学基金会;

关键词：

cholera modelling; global asymptotic stability; geometric approach; REPRODUCTION NUMBERS; INFECTIOUS-DISEASES; GEOMETRIC APPROACH; SEIR MODEL; DYNAMICS; HOST; HYPERINFECTIVITY; BACTERIOPHAGE; TRANSMISSION;

D O I：

10.1080/17513758.2012.728635

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

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.

引用

页码：1088 / 1104

页数：17

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