Dynamical analysis of COVID-19 epidemic model with individual mobility

Abstract

COVID-19 (Corona Virus Disease 2019) differs from previous epidemics in two ways: one is that the exposed do not show symptoms but are still capable of infecting others, and the other is that SARS-CoV can be indirectly transmitted through environment. The truth indicated that the infected and the exposed have the ability to spread the disease farther afield, gives rise to a reasonable research of the impact of individual mobility. In this paper, based on uncompleted enclosure and isolation lead to infected individual and virus would spread different regions, we establish an SEIVR (Susceptible-Exposed-Infected-Environment-Remove) epidemic model with individual mobility and analysis the dynamical properties of model. We show that the unique endemic equilibrium is always existent and globally asymptotically stable. Numerical simulations of the impact of infected individual mobility suggests that customs inspection is very effective in preventing high-risk group move.