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

Human Mobility and Disease Prevalence

Rachidi Salako
University of Nevada Las Vegas
USA
Co-Author(s):    Yuan Lou, Rachidi B Salako, Pengfei Song
Abstract:
Globalization has made the world more connected and interdependent due to the increase in the rates of human migration. However, this also contributes significantly to the spread of deadly infectious diseases. Mathematical modeling of epidemics is vital to understand the spreading dynamics of an infectious disease and develop the best strategies to curb its spread. In this talk, we will examine the effect of human mobility on disease prevalence by studying the dependence of the total infected population at endemic equilibria with respect to population diffusion rates of a diffusive epidemic model. In particular, for small diffusion rates, our results indicate that the total infected population size is strictly decreasing with respect to the ratio of the diffusion rate of the infected population over that of the susceptible population.