Bifurcation analysis in an epidemic model on adaptive networks

Liang Chen; JinRong Wang

doi:10.1063/5.0130068

Bifurcation analysis in an epidemic model on adaptive networks

Chaos. 2023 Mar;33(3):033135. doi: 10.1063/5.0130068.

Authors

Liang Chen¹, JinRong Wang¹

Affiliation

¹ Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China.

PMID: 37003833
DOI: 10.1063/5.0130068

Abstract

In this paper, we study a delayed adaptive network epidemic model in which the local spatial connections of susceptible and susceptible individuals have time-delay effects on the rate of demographic change of local spatial connections of susceptible and susceptible individuals. We prove that the Hopf bifurcation occurs at the critical value τ₀ with delay τ as the bifurcation parameter. Then, by using the normal form method and the central manifold theory, the criteria for the bifurcation direction and stability are derived. Finally, numerical simulations are presented to show the feasibility of our results.