具有Beddington-DeAngelis发生率的随机SIS双流行病模型的动力学研究

Dynamical analysis of stochastic SIS epidemic model with the Beddington-DeAngelis incidence and double diseases

研究了一类具有Beddington-DeAngelis发生率和双流行病的随机SIS流行病模型的动力学性质,利用伊藤公式和Lyapunov函数证明了随机系统存在全局唯一的正解,给出了两种流行病的灭绝和在均值意义下持久的充分条件,通过数值模拟说明了所得理论结果的有效性.

In this paper,a stochastic SIS epidemic model with the Beddington-DeAngelis incidence and double diseases is proposed and analysed,we explored the threshold of the stochastic system and determined the conditions which lead to the extinction and permanence in the meaning of two infectious diseases.Finally,the validity of the theoretical results is illustrated by numerical simulation.