Stability and bifurcation analysis in a delayed SIR model

Zhichao Jiang and Junjie Wei

Chaos, Solitons & Fractals, 2008, vol. 35, issue 3, 609-619

Abstract: In this paper, a time-delayed SIR model with a nonlinear incidence rate is considered. The existence of Hopf bifurcations at the endemic equilibrium is established by analyzing the distribution of the characteristic values. A explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by using the normal form and the center manifold theory. Numerical simulations to support the analytical conclusions are carried out.

Date: 2008
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:3:p:609-619

DOI: 10.1016/j.chaos.2006.05.045

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