Global dynamics of a predator-prey model with defense mechanism for prey

被引：68
|
作者：
Xu, Chaoqun [1 ,2 ]
Yuan, Sanling [2 ]
Zhang, Tonghua [3 ]
机构：
[1] Univ Shanghai Sci & Technol, Sch Management, Shanghai 200093, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[3] Swinburne Univ Technol, Dept Math, Hawthorn, Vic 3122, Australia
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 62卷
基金：
中国国家自然科学基金;
关键词：
Predator-prey model; Defense mechanism; Extinction domain; Limit cycle; Global dynamics; FUNCTIONAL-RESPONSE; HERD BEHAVIOR;
D O I：
10.1016/j.aml.2016.06.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Venturino and Petrovskii proposed a general predator prey model with group defense for prey species (Venturino and Petrovskii, 2013). The local dynamics had been studied and showed that the model might undergo Hopf bifurcation, and have an extinction domain. In this paper, we dedicate ourselves to the investigation of the global dynamics of the model by establishing the conditions of the nonexistence of periodic orbits, and the existence and uniqueness of limit cycles. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：42 / 48
页数：7
相关论文
共 50 条
  • [41] A predator-prey model with diseases in both prey and predator
    Gao, Xubin
    Pan, Qiuhui
    He, Mingfeng
    Kang, Yibin
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (23) : 5898 - 5906
  • [42] Predator invasion in a spatially heterogeneous predator-prey model with group defense and prey-taxis
    Zhang, Zidie
    Wu, Daiyong
    Li, Nishan
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 226 : 270 - 282
  • [43] Global solution of a diffusive predator-prey model with prey-taxis
    Wang, Jianping
    Wang, Mingxin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (10) : 2676 - 2694
  • [44] Global stability of a networked predator-prey model
    Tian, Canrong
    APPLIED MATHEMATICS LETTERS, 2023, 143
  • [45] Global stability of a delayed predator-prey model with stage structure for the prey
    Xu, Rui
    Ma, Zhien
    Hao, Feilong
    Yang, Pinghua
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2006, 37 (05): : 273 - 289
  • [46] The Dynamics of a Predator-Prey Model with Diffusion and Indirect Prey-Taxis
    Wang, Jianping
    Wang, Mingxin
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (03) : 1291 - 1310
  • [47] Dynamics of a stochastic predator-prey model with habitat complexity and prey aggregation
    Zhang, Shengqiang
    Zhang, Tonghua
    Yuan, Sanling
    ECOLOGICAL COMPLEXITY, 2021, 45
  • [48] Threshold dynamics of a predator-prey model with age-structured prey
    Lu, Yang
    Liu, Shengqiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [49] Complex dynamics of a predator-prey model with opportunistic predator and weak Allee effect in prey
    Zhu, Zhenliang
    Chen, Yuming
    Chen, Fengde
    Li, Zhong
    JOURNAL OF BIOLOGICAL DYNAMICS, 2023, 17 (01)
  • [50] Dynamics of a predator-prey model in a habitat with cover
    Trojan, K
    Pekalski, A
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 330 (1-2) : 130 - 138
12345