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arXiv · 1911.13002

Bistability in a SIRS model with general nonmonotone and saturated incidence rate

Shaoli Wang·Xiyan Bai·Fei Xu
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Abstract

In this paper, we consider a SIRS model with general nonmonotone and saturated incidence rate and perform stability and bifurcation analysis. We show that the system has saddle-node bifurcation and displays bistable behavior. We obtain the critical thresholds that characterize the dynamical behaviors of the model. We find with surprise that the system always admits a disease free equilibrium E0 which is always asymptotically stable. Numerical simulations are carried out to verify our results.

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Shaoli Wang, Xiyan Bai, Fei Xu. 2019-11-29. Bistability in a SIRS model with general nonmonotone and saturated incidence rate. https://arxiv.org/abs/1911.13002

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