On the global stability of cholera models
نویسندگان
چکیده
We conduct global stability analysis for the endemic equilibria of several deterministic cholera models. These models, incorporating both human population and pathogen concentration, constitute four-dimensional nonlinear autonomous systems where the classical Poincaré-Bendixson theory is not applicable. We employ three different techniques, including the monotone dynamical systems, geometric approach, and Lyapunov functions, to investigate the endemic global stability for several biologically important cases. The analysis and results presented in this paper make building blocks towards a comprehensive study of the general mathematical cholera model.
منابع مشابه
Cholera, Migration, and Global Health – A Critical Review
Cholera is an acute diarrheal infection caused by the ingestion of food or water contaminated with the bacterium Vibrio cholerae. The causative agent of this disease was originally described by Filippo Pacini in 1854, and afterwards further analyzed by Robert Koch in 1884. It is estimated that each year there are 1.3 million to 4 million cases of cholera, and 21 000 to 143 000 deaths worldwide ...
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