Spreading speeds in two reaction-diffusion models for Polio disease

This article studies the spreading properties of initial value problems for two Polio models with spatial diffusion. Considering the full interaction between the adult and the child classes, we obtain a unique spreading speed of two groups by constructing proper auxiliary systems. When the interaction between two groups is omitted, it is possible to observe different spreading-vanishing phenomena of two groups. In particular, when the disease spreads successfully, the spreading speeds of different groups are estimated. From these speeds, we can theoretically understand the factors that determine the spreading ability of the virus.