Yun Zheng, Xamxinur Abdurahman, Global stability of multi-group epidemic model with distributed delays and indirect transmission, Vol. 2023 (2023), Article ID 13, pp. 1-10

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DOI: 10.23952/jnfa.2023.13

Received September 2, 2022; Accepted March 13, 2023; Published April 10, 2023

Abstract. In this paper, a multi-group epidemic model with distributed delays and indirect transmission is discussed. We identified the basic reproduction number $R_0$ and investigated the dynamical properties of the model with respect to $R_0$ . It is proved that the disease-free equilibrium is globally asymptotically stable if $R_0\leq1$ , and there exists a unique endemic equilibrium which is globally asymptotically stable if $R_0>1$ . Specifically, we used the method of Lyapunov functionals and graph-theoretical approach to prove that the global stability of the endemic equilibrium.

How to Cite this Article:
Y. Zheng, X. Abdurahman, Global stability of multi-group epidemic model with distributed delays and indirect transmission, J. Nonlinear Funct. Anal. 2023 (2023) 13.