Speaker: Joaquin Rivera
Department of Mathematics and Statistics

Title: Traveling Pulse Solutions for a Nonlocal Reaction-Diffusion Model of Influenza A

Abstract: Recent progress in modeling population dynamics and epidemiological systems has been made by adding nonlocal and diffusion terms into the models. In particular, modeling nonlocal interactions and diffusion simultaneously gives rise to diffusive systems that usually include a convolution term. In this presentation, I start by presenting some basic results in the analysis of ~Sclassical~T nonlocal models. Later, I will discuss the existence of traveling wave solutions for a nonlocal reaction-diffusion model of Influenza A proposed in Lin et. al. (2003). The proofs for the existence of the traveling wave take advantage of the different time scales between the evolution of the disease and the progress of the disease in the population.