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Analysis on a diffusive SEI epidemic model with/without immigration of infected hosts
Discrete and Continuous Dynamical Systems. Series S
<p style='text-indent:20px;'>In this paper, we study a reaction-diffusion SEI epidemic model with/without immigration of infected hosts. Our results show that if there is no immigration for the infected (exposed) individuals, the model admits a threshold behaviour in terms of the basic reproduction number, and if the system includes the immigration, the disease always persists. In each case, we explore the global attractivity of the equilibrium via Lyapunov functions in the case of spatiallydoi:10.3934/dcdss.2021131 fatcat:a3dopixmrvej7g4hixvaufdfqe