Global Dynamics of a Hepatitis E With Environmental Transmission and Latent Period Delay

ABSTRACT In this paper, we propose a class of time‐delayed epidemic models for Hepatitis E. Based on the transmission mechanism of Hepatitis E and taken into account factors such as environmental transmission, vaccination, and the latent period delay, a Hepatitis E disease model with time delay is constructed. Through dynamic analysis of the model, the basic reproduction number and equilibrium points of the model are determined. When , the disease‐free equilibrium is globally asymptotically stable; when , the endemic equilibrium is globally asymptotically stable. Numerically, we study the Hepatitis E transmission trends in Shaanxi Province, China. The partial rank correlation coefficient method is employed to analyze the impact of different parameters on the basic reproduction number . Furthermore, some control strategies are provided to prevent Hepatitis E spread in Shaanxi.