user

Permanence and extinction for a nonautonomous SEIRS epidemic model

被引：29
|
作者：
Kuniya, Toshikazu [1 ]
Nakata, Yukihiko [2 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
[2] Basque Ctr Appl Math, E-48009 Bilbao, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期
基金：
日本学术振兴会;
关键词：
SEIRS epidemic model; Nonautonomous system; Permanence; Extinction; Basic reproduction number; BASIC REPRODUCTION NUMBER; VECTOR-BORNE DISEASES; THRESHOLD CONDITIONS; GLOBAL STABILITY; PERSISTENCE; DYNAMICS;
D O I：
10.1016/j.amc.2012.03.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the long-time behavior of a nonautonomous SEIRS epidemic model. We obtain new sufficient conditions for the permanence (uniform persistence) and extinction of infectious population of the model. By numerical examples we show that there are cases such that our results improve the previous results obtained in [T. Zhang, Z. Teng, On a nonautonomous SEIRS model in epidemiology, Bull. Math. Bio. 69 (2007) 2537-2559]. We discuss a relation between our results and open questions proposed in the paper. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：9321 / 9331
页数：11
相关论文
共 50 条
  • [41] Global Asymptotic Stability of a Generalized SEIRS Epidemic Model
    Abdelilah Kaddar
    Soufiane Elkhaiar
    Fatiha Eladnani
    Differential Equations and Dynamical Systems, 2020, 28 : 217 - 227
  • [42] Global Asymptotic Stability of a Generalized SEIRS Epidemic Model
    Kaddar, Abdelilah
    Elkhaiar, Soufiane
    Eladnani, Fatiha
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (01) : 217 - 227
  • [43] AN SEIRS EPIDEMIC MODEL WITH TWO DELAYS AND PULSE VACCINATION
    Jianjun JIAO School of Mathematics and StatisticsGuizhou College of Finance EconomicsGuiyang China
    Department of Applied MathematicsDalian University of TechnologyDalian China Lansun CHEN Institute of MathematicsAcademy of Mathematics and System ScienceChinese Academy of ScienceBeijing China Shaohong CAI Guizhou Colleqe of Finance EconomicsGuiyang China
    Journal of Systems Science and Complexity, 2008, 21 (02) : 217 - 225
  • [44] An SEIRS epidemic model with two delays and pulse vaccination*
    Jianjun JIAO
    Lansun CHEN
    Shaohong CAI
    Journal of Systems Science and Complexity, 2008, 21 : 217 - 225
  • [45] Permanence, average persistence and extinction in nonautonomous single-species growth chemostat models
    Rehim, Mehbuba
    Teng, Zhidong
    ADVANCES IN COMPLEX SYSTEMS, 2006, 9 (1-2): : 41 - 58
  • [46] An SEIRS epidemic model with two delays and pulse vaccination
    Jiao, Jianjun
    Chen, Lansun
    Cai, Shaohong
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2008, 21 (02) : 217 - 225
  • [47] A nonautonomous epidemic model on time scales
    Ferreira, Rui A. C.
    Silva, Cesar M.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (08) : 1295 - 1317
  • [48] Pulse vaccination delayed SEIRS epidemic model with saturation incidence
    Zhang, Tailei
    Teng, Zhidong
    APPLIED MATHEMATICAL MODELLING, 2008, 32 (07) : 1403 - 1416
  • [49] Epidemic spreading of an SEIRS model in scale-free networks
    Liu, Junli
    Zhang, Tailei
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (08) : 3375 - 3384
  • [50] Global dynamics of an SEIRS epidemic model with constant immigration and immunity
    Zhang, Li Juan
    Li, Yingqiu
    Ren, Qingqing
    Huo, Zhenxiang
    WSEAS Transactions on Mathematics, 2013, 12 (05) : 630 - 640
12345