Backward bifurcation in a stage-structured epidemic model

被引：8
|
作者：
Zhang, Fengqin [2 ]
Zhao, Tian [1 ,2 ]
Liu, Hanwu [2 ]
Chen, Yuming [3 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
[2] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China
[3] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 89卷
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Epidemic model; Stage structure; Equilibrium; Backward bifurcation; VACCINATION; STABILITY;
D O I：
10.1016/j.aml.2018.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stage-structured epidemic model is proposed under the assumptions that the disease can only be transmitted among adults and that there is also intraspecific competition among them. We study the existence of equilibria and also obtain their local stability, which implies the occurrence of backward bifurcation. Moreover, sufficient conditions on the global stability of some equilibria are provided. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：85 / 90
页数：6
相关论文
共 50 条
  • [21] Bifurcation Analysis for A Stage-Structured Predator-Prey System
    Feng, Guanghui
    Xu, Rui
    Wang, Lingshu
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 79 - 82
  • [22] ANALYSIS OF A STAGE-STRUCTURED DENGUE MODEL
    Fang, Jinping
    Lin, Guang
    Wan, Hui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (09): : 4045 - 4061
  • [23] MALARIA MODEL WITH STAGE-STRUCTURED MOSQUITOES
    Li, Jia
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2011, 8 (03) : 753 - 768
  • [24] Stability and Hopf Bifurcation Analysis of a Stage-Structured Predator-Prey Model with Delay
    Zhou, Xueyong
    AXIOMS, 2022, 11 (10)
  • [25] Non-monotone waves of a stage-structured SLIRM epidemic model with latent period
    Huang, Wenzhang
    Wu, Chufen
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (05) : 1407 - 1442
  • [26] Investigating the dynamics of a delayed stage-structured epidemic model with saturated incidence and treatment functions
    Kundu, Soumen
    Alsakaji, Hebatallah J.
    Rihan, Fathalla A.
    Maitra, Sarit
    Upadhyay, Ranjit Kumar
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (01):
  • [27] Investigating the dynamics of a delayed stage-structured epidemic model with saturated incidence and treatment functions
    Soumen Kundu
    Hebatallah J. Alsakaji
    Fathalla A. Rihan
    Sarit Maitra
    Ranjit Kumar Upadhyay
    The European Physical Journal Plus, 137
  • [28] A simple SIS epidemic model with a backward bifurcation
    van den Driessche, P
    Watmough, J
    JOURNAL OF MATHEMATICAL BIOLOGY, 2000, 40 (06) : 525 - 540
  • [29] A simple SIS epidemic model with a backward bifurcation
    P. van den Driessche
    James Watmough
    Journal of Mathematical Biology, 2000, 40 : 525 - 540
  • [30] STABILITY AND BIFURCATION OF A STAGE-STRUCTURED PREDATOR-PREY MODEL INCORPORATING A CONSTANT PREY REFUGE
    Zhen Wei
    Haihui Wu
    Changwu Zou
    Annals of Applied Mathematics, 2015, 31 (02) : 212 - 224
12345