Dynamic analysis of a time-delayed SIS model with saturation incidence

Abstract

Abstract: Taking the time delay as the bifurcation parameter, a time-delayed SIS model with saturation incidence is studied. The stability of the equilibrium is analyzed, and the Turing instability of the model and the existence of the Hopf bifurcation are discussed. The direction and stability of the Hopf bifurcation are determined by the correlation bifurcation theory, and numerical simulations are also presented.

Key words: time delay, SIS model, Turing instability, Hopf bifurcation, stability

CLC Number:

O175.12

YUAN Hai-long, FAN Yu, WANG Wei-ming. Dynamic analysis of a time-delayed SIS model with saturation incidence[J]. Journal of Lanzhou University of Technology, 2025, 51(6): 157-166.

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