Dynamic Properties of SIS Epidemic Model with Stage Structure

doi:10.13438/j.cnki.jdzk.2022.01.004

Abstract

Abstract: The dynamic properties of a Beddington-DeAngelis type functional response predator-prey model with stage structure and SIS epidemic are studied.The existence and stability conditions of positive solutions are proved through the method of constant variation.The local stability conditions of each equilibrium point are obtained by using the characteristic equation,and the global stability conditions of each equilibrium point are obtained by using Lyapunov function and LaSalle invariance principle.

Key words: predator-prey model, stage structure, SIS epidemic, Beddington-DeAngelis functional response, global stability

LIU Hanyan, XIE Jingli, SHU Qing. Dynamic Properties of SIS Epidemic Model with Stage Structure[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(1): 20-25.

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