Return-to-home model for short-range human travel

Abstract

In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suitable functional framework to handle this system and study the large-time behavior of the solutions. We extend our model by incorporating a colonization process and applying the return to home process to an epidemic.

Keywords

• return to home process
• diffusion process
• colonization process
• epidemic model