具有非线性发生率函数的随机SEIR模型性质研究

Study on Properties of Stochastic SEIR Model with Nonlinear Incidence Rate

文章研究了一类具有非线性发生率函数的随机SEIR模型的动力学行为,利用随机微分方程理论探讨了随机扰动对模型轨迹的影响,最后列举了一个例子来验证得到的结论。结果表明,随机扰动有利于抑制疾病的发生。

The paper studies the dynamic behavior of a class of stochastic SEIR model with nonlinear incidence rate,explores the effects of stochastic perturbations on model trajectories using stochastic differential equation theory,and finally presents an example to verify the obtained conclusions.The results show that the stochastic perturbation is beneficial to suppress the occurrence of the disease.