论文标题
心理效应可能导致流行病的双重性
Psychological effect can lead to bistability in epidemics
论文作者
论文摘要
在本文中,我们研究了SIS流行模型中的心理效应。获得了基本的繁殖数。但是,无疾病的平衡始终是渐近稳定的,这不取决于基本的繁殖数。该系统具有鞍形节点分叉,并显示出可行为的行为,这是流行动力学的新现象,与后向分叉行为不同。
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.