DMS Applied Mathematics Seminar

Speaker: Rachidi B. Salako, University of Nevada, Las Vegas

Title: Coexistence of pathogens of a multi-strain epidemic model.

Abstract: We study some multi-strain reaction-diffusion epidemic model dynamics with spatially heterogeneous infection and recovery rates. The nonexistence of coexistence endemic equilibrium (EE) solutions and the final extinction of one or multiple strains are proved under some proper assumptions on the model’s parameters. However, when some of these assumptions fail to hold for the case of the two strains model, we show that both strains of the disease may coexist, and solutions of the initial value problem stabilize at the unique coexistence endemic equilibrium. Finally, the asymptotic behaviors of the coexistence endemic equilibrium solutions, as the diffusion rate of the populations approaches zero, are also investigated, where the spatial segregation of multiple strains is found and determined.