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

作　　者：朱哲 王锋 ZHU Zhe;WANG Feng(School of Engineering and Management,Pingxiang University,Pingxiang,Jiangxi 337000,China)

机构地区：[1]萍乡学院工程与管理学院,江西萍乡337000

出　　处：《萍乡学院学报》2021年第6期1-5,共5页Journal of Pingxiang University

基　　金：江西省教育厅科学技术研究项目(GJJ202713)。

摘　　要：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.

关 键 词：SEIR模型 随机扰动 灭绝性 

分 类 号：O211.6[理学—概率论与数理统计] O29[理学—数学]