Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory

被引：16

作者：

Guo, Ying ^{[1
]}

Wang, Yida ^{[2
]}

Ding, Xiaohua ^{[2
]}

机构：

[1] Qingdao Technol Univ, Dept Math, Qingdao 266520, Peoples R China

[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 06期

基金：

中国国家自然科学基金;

关键词：

TIME-VARYING DELAY; GENERALIZED NEURAL-NETWORKS; STOCHASTIC COUPLED SYSTEMS; DIFFERENTIAL-EQUATIONS; EPIDEMIC MODEL; GROUP SEIR; DISSIPATIVITY;

D O I：

10.1016/j.jfranklin.2018.02.010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the global exponential stability for an original class called coupled systems of multi-group neutral delayed differential equations (MNDDEs). By employing Razumikhin method along with graph theory, sufficient conditions are established to guarantee the global exponential stability of MNDDEs, which are in the form of Razumikhin theorem. For the convenience of use, sufficient conditions in the form of coefficients are also obtained. Furthermore, coefficient-type criterion is employed to study the stability of coupled neutral delay oscillators which shows the applicability of our findings. Finally, two numerical examples are given to demonstrate the validity and feasibility of the theoretical results. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3122 / 3144

页数：23

共 50 条

[1] Exponential stability of delayed multi-group model with reaction-diffusion and multiple dispersal based on Razumikhin technique and graph theory
Li, Wenxue
Zhang, Xiaoqing
Zhang, Chunmei
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 27 (1-3) : 237 - 253
[2] Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks
Guo, Ying
Ding, Xiaohua
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (15) : 5490 - 5501
[3] Global Stability of a Multi-Group Delayed Epidemic Model
Bowen REN
Ke CHEN
Dejun FAN
Journal of Mathematical Research with Applications, 2016, 36 (05) : 547 - 560
[4] Global Exponential Stability of Multi-Group Models with Multiple Dispersal and Stochastic Perturbation Based on Graph-Theoretic Approach
Guo, Ying
Li, Yingjian
Ding, Xiaohua
FILOMAT, 2017, 31 (16) : 5125 - 5138
[5] Stability of multi-group models with cross-dispersal based on graph theory
Chen, Tianrui
Sun, Zhenyao
Wu, Boying
APPLIED MATHEMATICAL MODELLING, 2017, 47 : 745 - 754
[6] A new method for exponential stability of coupled reaction diffusion systems with mixed delays: Combining Razumikhin method with graph theory
Li, Wenxue
Zhang, Xiaoqing
Zhang, Chunmei
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (03): : 1169 - 1191
[7] Global stability of a multi-group delayed epidemic model with logistic growth
Almuqati, B. M.
AIMS MATHEMATICS, 2023, 8 (10): : 23046 - 23061
[8] Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory
Zhang, Chunmei
Han, Bang-Sheng
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 538
[9] Global stability of a multi-group SEI model
Xue, Yakui
Yuan, Xinpeng
Liu, Maoxing
APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 : 51 - 60
[10] Stability of multi-group coupled systems on networks with multi-diffusion based on the graph-theoretic approach
Chen, Tianrui
Xu, Jiacheng
Wu, Boying
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5744 - 5756

← 1 2 3 4 5 →