An SIS Epidemic Model with Delay Effect

doi:10.13438/j.cnki.jdzk.2025.01.002

Abstract

Abstract: The dynamical properties of a class of SIS infectious disease models with time delay effects and logistic growth are investigated.The non-negativity and boundedness of the model solutions are proved by using the basic theory of functional differential equations and the constant variational method,and the conditions for the local stability of the equilibrium points are obtained by combining with the characteristic equations.Taking the time delay τ as the branching parameter,the conditions for Hopf branching of the endemic equilibrium points when they are unstable are obtained by Hopf branching theory.

Key words: SIS epidemic model, logistic growth, time delay effect, Hopf bifurcation

WANG Yuqin, XIE Jingli, ZHAO Jialu, LI Jialong. An SIS Epidemic Model with Delay Effect[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 12-17.

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