一类离散系统流行病动力学模型研究

从经典的SIS流行病模型中获知很多离散的动力学模型也有相同的形式,那么选其中的一个离散的动力学模型进行分析研究。不变集为区间0,1];有两个参数,p,θ∈0,1]对每一个动力学现象是敏感的,且当p和θ在渐进的变化过程中,p比θ更敏感。半衰期分叉的出现,显示一个稳定的半衰期分叉或者唯一一个稳定点,原点总是一个不稳定点,数值模拟验证了结论。

Dynamic Model Research of Epidemics of A Discrete System

It is known from typical SIS epidemics models that many discrete dynamic models may have the same form,so we select one of the models for analysis and study.The invariant set is the range ,and there are two parameters.p and θ∈ are sensitive to each dynamic phenomenon,and when they are changing gradually,p is more sensitive than θ.There appears the bifurcation of half life,displaying a stable bifurcation of half life or an exclusive stability point.The zero point is always a instable point.And value simulation verifies the conclusion.