An SADR epidemic model with a transport-related infection between two regions

Abstract

If an infectious disease is eradicated in an area, the travelling of infected people can cause a re-epidemic of the disease in such area. Travelling is one of the influential factors in the spread of an infectious diseases. In this paper, we present an epidemic model to investigate the effect of travelling between two regions. We compute the basic reproduction number of the model and study the local and global stability of the equilibrium points. In addition, we perform numerical simulations to illustrate the impact of increasing travel parameters on disease dynamics. The results show that travel between areas will change the dynamics of the disease and spread the infection.