Modeling the dynamics of multi-cluster information propagation in presence of time delay

被引：3
|
作者：
Zhu, Linhe [1 ]
Huang, Xiaoyuan [1 ,2 ]
机构：
[1] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China
[2] South China Univ Technol, Sch Math Sci, Guangzhou 510641, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 146卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Multi-cluster rumor propagation model; Global stability; Lyapunov function; Delay; EPIDEMIC MODEL; GLOBAL STABILITY; DIFFUSION;
D O I：
10.1016/j.chaos.2021.110858
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamical behaviors of a new multi-cluster (SSIR)-S-(1)-I-(2) (Susceptible 1 - Susceptible 2 - Infected - Recovery) reaction-diffusion rumor propagation model are investigated in this paper. According to the next generation matrix method, we work out the basic reproduction number. Then applying the theory of upper and lower solutions, we have explored the unique existence and boundedness of the nonnegative solution. By using the Lyapunov-LaSalle principle and the graph-theoretic approach, the global dynamics can be obtained for both the rumor-free equilibrium point and the rumor-prevailing equilibrium point. Finally, several numerical simulations are given to illustrate the theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：14
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