带有短暂免疫的分数阶SIRS模型的局部稳定性  

Local stability of a fractional-order SIRS model with temporary immunity

作　　者：于智慧 王铮 YU Zhihui;WANG Zheng(Basic Courses Teaching and Research Department,Yingkou Institute of Technology,Yingkou 115014,China;School of Chemical and Environmental Engineering,Yingkou Institute of Technology,Yingkou 115014,China)

机构地区：[1]营口理工学院基础教研部,辽宁营口115014 [2]营口理工学院化学与环境工程学院,辽宁营口115014

出　　处：《高师理科学刊》2022年第11期22-25,共4页Journal of Science of Teachers＇College and University

基　　金：校级科研项目(QNL202104)。

摘　　要：研究了带有短暂免疫的分数阶SIRS模型,在模型中,当个体一旦被感染,在一段时间后会转向为易感个体.讨论了该模型解的正则有界性及解的唯一性,给出了在零染病平衡点及有染病平衡点处系统局部渐进稳定的充分条件.The fractional-order SIRS model with temporary immunity is studied.In the model,once an individual is infected,the individual will turn to susceptible individuals after a period of time.The regular boundedness and uniqueness of the solution of the model are discussed.Sufficient conditions for the local asymptotic stability of the system at the zero infection equilibrium point and the infection equilibrium point are given.

关 键 词：SIRS模型 随机平均法 平衡点 稳定 

分 类 号：O175[理学—数学]