In this paper, we study the psychological effect in a SIS epidemic model. The basic reproduction number is obtained. However, the disease free equilibrium is always asymptotically stable, which doesn't depends on the basic reproduction number. The system has a saddle-node bifurcation appear and displays bistable behavior, which is a new phenomenon in epidemic dynamics and different from the backward bifurcation behavior.
@article{arxiv.2001.06754,
title = {Psychological effect can lead to bistability in epidemics},
author = {Shaoli Wang and Xiyan Bai},
journal= {arXiv preprint arXiv:2001.06754},
year = {2020}
}
Comments
8 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1911.13002