Permanence and Hopf bifurcation of a delayed eco-epidemic model with Leslie-Gower Holling type III functional response

被引：3
|
作者：
Zhang, Zi Zhen [1 ]
Cao, Chun [1 ]
Kundu, Soumen [2 ]
Wei, Ruibin [1 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Management Sci & Engn, Bengbu, Peoples R China
[2] Natl Inst Technol, Dept Math, Durgapur, India
来源：
SYSTEMS SCIENCE & CONTROL ENGINEERING | 2019年 / 7卷 / 01期
关键词：
Eco-epidemic model; Hopf bifurcation; permanence; time delay; PREDATOR-PREY MODEL; COMPLEX DYNAMICS; DISEASE; STABILITY; SYSTEM; PERSISTENCE; INFECTION;
D O I：
10.1080/21642583.2019.1649217
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 a delayed eco-epidemic model with a Leslie-Gower Holling type III functional response. The main results are given in terms of permanence and Hopf bifurcation. First of all, sufficient conditions for permanence of the model are established. Directly afterward, sufficient conditions for local stability and existence of Hopf bifurcation are obtained by regarding the delay as bifurcation parameter. Finally, properties of the Hopf bifurcation are investigated with the aid of the normal form theory and centre manifold theorem. Numerical simulations are carried out to verify the obtained theoretical results.
引用
收藏
页码：276 / 288
页数：13
相关论文
共 50 条
  • [41] Analysis of a stochastic eco-epidemiological model with modified Leslie-Gower functional response
    Wei, Chunjin
    Liu, Junnan
    Zhang, Shuwen
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [42] GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE-GOWER PREDATOR-PREY SYSTEM
    Chen, Shanshan
    Shi, Junping
    Wei, Junjie
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (03):
  • [43] Bifurcation analysis of a delayed predator-prey model with Holling-III functional response
    Yang, Mengna
    Nie, Yufeng
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (06):
  • [44] Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme
    Zhang, Zizhen
    Yang, Huizhong
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [45] Turing Instability and Hopf Bifurcation in a Modified Leslie-Gower Predator-Prey Model with Cross-Diffusion
    Abid, Walid
    Yafia, R.
    Aziz-Alaoui, M. A.
    Aghriche, Ahmed
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (07):
  • [46] Consequences of Weak Allee Effect in a Leslie-Gower-Type Predator-Prey Model with a Generalized Holling Type III Functional Response
    Tintinago-Ruiz, Paulo C.
    Restrepo-Alape, Leonardo D.
    Gonzalez-Olivares, Eduardo
    ANALYSIS, MODELLING, OPTIMIZATION, AND NUMERICAL TECHNIQUES, 2015, 121 : 89 - 103
  • [47] Dynamics of a modified Leslie-Gower Holling-type II eco-epidemiological model on time scales
    Es-saiydy, Mohssine
    Zitane, Mohamed
    APPLICABLE ANALYSIS, 2024, 103 (09) : 1628 - 1648
  • [48] Permanence, stability, and coexistence of a diffusive predator-prey model with modified Leslie-Gower and B-D functional response
    Feng, Xiaozhou
    Song, Yi
    Liu, Jianxin
    Wang, Guohui
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [49] Hopf bifurcation analysis in a delayed Leslie-Gower predator-prey model incorporating additional food for predators, refuge and threshold harvesting of preys
    Onana, Maximilien
    Mewoli, Boulchard
    Tewa, Jean Jules
    NONLINEAR DYNAMICS, 2020, 100 (03) : 3007 - 3028
  • [50] Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect
    Pal, Pallav Jyoti
    Mandal, Prashanta Kumar
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2014, 97 : 123 - 146
12345