On a model of spatial spread of epidemics with long-distance travel

This Letter studies the dynamics of infectious diseases which are spread geographically through long-distance travel between two regions and subsequent local redistribution through a process of diffusion. A particular case of an equiproportionate travel is considered, and the model describes migration rather than short visits. We examine uniform and nonuniform steady states together with their linear stability. Numerical simulations are performed to illustrate the evolution of initial distribution of population towards its final stage, which is represented by uniform distribution of the total population among infected individuals.