Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

Abstract

In this paper, a susceptible–exposed–infectious–recovered (SEIR) epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies is presented. According to the properties of nonnegative matrices, the range of basic reproduction number is obtained. Moreover, the stability of disease-free equilibrium is studied. Some numerical simulations are given to validate the theoretical results. The effects of vaccination , quarantine strategies and population migration on disease transmission are also investigated by numerical simulations.