Special Session 29: Reactions diffusion equations with applications to spatial ecology and infectious disease

Reaction-diffusion models for the spatial spread of cholera

Jin Wang
University of Tennessee at Chattanooga
USA
Co-Author(s):    
Abstract:
We study the spatial dynamics of cholera, a severe waterborne infection caused by the bacterium Vibrio cholerae, using reaction-diffusion models. Our focus is how the host movement and pathogen dispersal impact the spatial spread of the disease. We conduct an analysis on the traveling wave solutions of these reaction-diffusion systems. We also present a numerical approach to compute and analyze the basic reproduction numbers associated with such models.