Exit problem of stochastic SIR model with limited medical resource  

作　　者：Y.C.Mao X.B.Liu 

机构地区：[1]State Key Lab of Mechanics and Control for Mechanical Structures,College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

出　　处：《Theoretical & Applied Mechanics Letters》2023年第1期8-13,共6页力学快报（英文版）

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

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 evolution.However,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 value.In 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 epidemic.Finally,in order to extend the meaning of parameters in the corresponding deterministic system,we tentatively introduce two new thresholds which then prove rational.

关 键 词：Stochastic epidemic model Stochastic dynamical system Large deviation theory Exit problem 

分 类 号：R181[医药卫生—流行病学] O175[医药卫生—公共卫生与预防医学]