Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate

Ding Fang, Yongxin Zhang and Wendi Wang

Complexity, 2020, vol. 2020, 1-16

Abstract:

An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation, and Bogdanov–Takens bifurcation. Especially, a bifurcation curve with “S” shape emerges due to the nonlinear rewiring rate, which leads to multiple equilibria and twice saddle-node bifurcations. Numerical simulations show that the model admits a homoclinic bifurcation and a saddle-node bifurcation of the limit cycle.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:7310347

DOI: 10.1155/2020/7310347

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