Existence of Traveling Wave Solutions for Cholera Model

摘要

To investigate the spreading speed of cholera, Codeço’s cholera model (2001)is developed by a reaction-diffusion model that incorporates both indirectenvironment-to-human and direct human-to-human transmissions and thepathogen diffusion. The two transmission incidences are supposed to besaturated with infective density and pathogen density. The basic reproductionnumberR0is defined and the formula for minimal wave speedc*is given. Itis proved by shooting method that there exists a traveling wave solution withspeedcfor cholera model if and only ifc≥c*.