title: On the global stability of a generalized cholera epidemiological model.
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.
authors.affiliation: School of Technology, Malmö University, 205 06, Malmö, Sweden. yuanji.cheng@mah.se
authors.forename: Yuanji
authors.initials: Y
authors.lastname: Cheng
authors.forename: Jin
authors.initials: J
authors.lastname: Wang
authors.forename: Xiuxiang
authors.initials: X
authors.lastname: Yang
mesh_terms: D002771:Cholera / Q000453:epidemiology* / Q000382:microbiology / Q000635:transmission; D019353:Endemic Diseases / Q000706:statistics & numerical data; D004783:Environmental Microbiology; D058872:Epidemics / Q000706:statistics & numerical data; D015981:Epidemiologic Factors; D014943:Global Health; D054884:Host-Pathogen Interactions; D006801:Humans; D016014:Linear Models; D008954:Models, Biological; D015233:Models, Statistical; D017711:Nonlinear Dynamics