Asymptotic behavior of an SIQR epidemic model driven by Lévy jumps on scale-free networks  

作　　者：Yuncheng Xu Sanyang Liu Xiaojun Sun Hua Hu Yu Wang 

机构地区：[1]School of Mathematics and Statistics Xidian University,Xi'an 710071,P.R.China [2]School of Mathematics and Statistics Ning Xia University,Ningria 750021,P.R.China [3]School of Mathematics and Information Science Bao Ji University of Arts and Sciences Baoji 721013,P.R.China [4]College of Mathematics Science and Center for Applied Mathematical Science Inner Mongolia Normal University Hohhot 010022,P.R.China

出　　处：《International Journal of Biomathematics》2024年第2期51-86,共36页生物数学学报（英文版）

基　　金：supported by the Natural Science Foundation of Ningxia(Grant 2021AAC03030).

摘　　要：To investigate the effect of information transmission,Levy jumps and contact heterogeneity of individuals on the asymptotic behavior of epidemic,a stochastic SIQR epidemic model with non-monotone incidence rate and Levy jumps on scale-free networks is constructed.At first,the global dynamics of the deterministic model is studied by constructing appropriate Lyapunov functions.Then the stochastic model is made in accordance with the ecological significance,the existence and uniqueness of the global positive solution of the stochastic SIQR model is manifested.Next,by constructing suitable stochastic Lyapunov functions and applying Ito formula with jump,the asymptotic behavior of solutions of stochastic model around equilibrium of the corresponding deterministic model is checked.At last,the correctness of the analytical results is verified by numerical simulations.

关 键 词：Lévy jumps asymptotic behavior non-monotone incidence rate scale-free networks SIQR. 

分 类 号：O17[理学—数学]