Bistability in a SIRS model with general nonmonotone and saturated incidence rate
Populations and Evolution
2019-12-02 v1
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.
Keywords
Cite
@article{arxiv.1911.13002,
title = {Bistability in a SIRS model with general nonmonotone and saturated incidence rate},
author = {Shaoli Wang and Xiyan Bai and Fei Xu},
journal= {arXiv preprint arXiv:1911.13002},
year = {2019}
}
Comments
8 pages, 3 figures