Stochastic SIS epidemic model on network with Levy noise

被引：6
|
作者：
Yang, Hong [1 ,2 ]
Jin, Zhen [1 ,2 ]
机构：
[1] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Univ, Shanxi Key Lab Math Tech & Big Data Anal Dis Cont, Taiyuan, Shanxi, Peoples R China
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2022年 / 40卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Network; epidemic model; extinction; persistence; Levy noise; MARRIED-COUPLES; EULER SCHEME; HIV EPIDEMIC; DRIVEN; DYNAMICS; TRANSMISSION; PROSTITUTES;
D O I：
10.1080/07362994.2021.1930051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic SIS epidemic model which is characterized by Levy noise on a network is established to study how these two factors work together in the spread of diseases. First, the existence of a unique positive solution is proved. Next, the stability in probability and p-th moment asymptotic stability of the disease-free equilibrium are investigated, and the sufficient condition for persistence in the mean of the disease is obtained. The synergy between the network and Levy noise in which the heterogeneity of the network can amplify the effect of the noise can suppress the disease outbreak by increasing the disease extinction threshold. Finally, numerical simulations are carried out to illustrate our results.
引用
收藏
页码：520 / 538
页数：19
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