Exit problem of stochastic SIR model with limited medical resource

作     者：Y.C.Mao X.B.Liu Y.C.Mao;X.B.Liu

作者机构：State Key Lab of Mechanics and Control for Mechanical StructuresCollege of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016China 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2023年第13卷第1期

页      面：8-13页

核心收录：

学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 07[理学] 070104[理学-应用数学] 100401[医学-流行病与卫生统计学] 0701[理学-数学] 10[医学] 

基　　金：supported by the National Natural Science Foundation of China(No.12172167) 

主　　题：Stochastic epidemic model Stochastic dynamical system Large deviation theory Exit problem 

摘      要：Nonlinearity and randomness are both the essential attributes for the real world,and the case is the same for the models of infectious diseases,for which the deterministic models can not give a complete picture of the ***,although there has been a lot of work on stochastic epidemic models,most of them focus mainly on qualitative properties,which makes us somewhat ignore the original meaning of the parameter *** this paper we extend the classic susceptible-infectious-removed(SIR)epidemic model by adding a white noise excitation and then we utilize the large deviation theory to quantitatively study the long-term coexistence exit problem with ***,in order to extend the meaning of parameters in the corresponding deterministic system,we tentatively introduce two new thresholds which then prove rational.