一类具有非线性出生率和饱和恢复率的随机SEIR传染病模型的动力学行为  

Dynamic Behavior of a Random SEIR Epidemic Model with Nonlinear Birth Rate and Saturation Recovery Rate

作　　者：陈丽君[1] CHEN Li-jun(Jinshan College,Fujian Agriculture and Foresty University,Fuzhou 350002,China)

机构地区：[1]福建农林大学金山学院,福建福州350002

出　　处：《安徽师范大学学报（自然科学版）》2024年第3期201-210,共10页Journal of Anhui Normal University(Natural Science)

基　　金：福建农林大学金山学院青年教师科研项目(KX230301);福建省中青年教师教育科研项目(JAT210662).

摘　　要：研究了一类具有非线性出生率和非线性接触率的随机SEIR传染病模型的绝灭性、持久性与平稳分布问题。同时利用计算机数值模拟验证了所得结论。本文所得结果改进了相关文献的结论。A stochastic SEIR infectious disease model with nonlinear birth rate and nonlinear contact rate is stud-ied,including the extinction,persistence,and stationary distribution problems.Moreover,the obtained conclu-sions are verified through computer numerical simulation.The results obtained in this article improve the conclu-sions of relevant literature.

关 键 词：非线性出生率 非线性接触率 平衡点 

分 类 号：O175[理学—数学]