Global stability of an SIS epidemic model with feedback mechanism on networks

被引：3
|
作者：
Wei, Xiaodan [1 ,2 ]
Xu, Gaochao [1 ]
Zhou, Wenshu [3 ]
机构：
[1] Jilin Univ, Coll Comp Sci & Technol, Changchun, Jilin, Peoples R China
[2] Dalian Nationalities Univ, Coll Comp Sci, Dalian, Peoples R China
[3] Dalian Nationalities Univ, Dept Math, Dalian, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
Epidemic model; Complex network; Feedback mechanism; Global stability; SPREADING DYNAMICS; BEHAVIOR;
D O I：
10.1186/s13662-018-1501-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global stability of endemic equilibrium of an SIS epidemic model with feedback mechanism on networks. The model was proposed by J. Zhang and J. Sun (Physica A 394: 24-32, 2014), who obtained the local asymptotic stability of endemic equilibrium. Our main purpose is to show that if the feedback parameter is sufficiently large or if the basic reproductive number belongs to the interval (1, 2], then the endemic equilibrium is globally asymptotically stable. We also present numerical simulations to illustrate the theoretical results.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] The global dynamics for a stochastic SIS epidemic model with isolation
    Chen, Yiliang
    Wen, Buyu
    Teng, Zhidong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 1604 - 1624
  • [32] Global stability of an SI epidemic model with feedback controls in a patchy environment
    Li, Hong-Li
    Zhang, Long
    Teng, Zhidong
    Jiang, Yao-Lin
    Muhammadhaji, Ahmadjan
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 321 : 372 - 384
  • [33] Effects of global and local rewiring on SIS epidemic adaptive networks
    Piankoranee, Suwakan
    Limkumnerd, Surachate
    SIAM PHYSICS CONGRESS 2018 (SPC2018): A CREATIVE PATH TO SUSTAINABLE INNOVATION, 2018, 1144
  • [34] Global Stability of a Variation Epidemic Spreading Model on Complex Networks
    Xu, De-gang
    Xu, Xi-yang
    Yang, Chun-hua
    Gui, Wei-hua
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [35] Global stability of an epidemic model with carrier state in heterogeneous networks
    Cao, Jinde
    Wang, Yi
    Alofi, Abdulaziz
    Al-Mazrooei, Abdullah
    Elaiw, Ahmed
    IMA JOURNAL OF APPLIED MATHEMATICS, 2015, 80 (04) : 1025 - 1048
  • [36] Dynamic Behavior of SIS Epidemic Model with Feedback on Regular Lattic
    Zhang, Damin
    Cai, Shaohong
    FIFTH INTERNATIONAL CONFERENCE ON INFORMATION ASSURANCE AND SECURITY, VOL 2, PROCEEDINGS, 2009, : 556 - +
  • [37] Global stability and attractivity of a network-based SIS epidemic model with nonmonotone incidence rate
    Wei, Xiaodan
    Liu, Lijun
    Zhou, Wenshu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 469 : 789 - 798
  • [38] Immunization and epidemic threshold of an SIS model in complex networks
    Wu, Qingchu
    Fu, Xinchu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 444 : 576 - 581
  • [39] SIS model of epidemic spreading on dynamical networks with community
    Chengyi Xia
    Shiwen Sun
    Feng Rao
    Junqing Sun
    Jinsong Wang
    Zengqiang Chen
    Frontiers of Computer Science in China, 2009, 3 : 361 - 365
  • [40] Epidemic outbreak for an SIS model in multiplex networks with immunization
    Wu, Qingchu
    Lou, Yijun
    Zhu, Wenfang
    MATHEMATICAL BIOSCIENCES, 2016, 277 : 38 - 46
12345