NONEXISTENCE OF PERIODIC ORBITS FOR PREDATOR-PREY SYSTEM WITH STRONG ALLEE EFFECT IN PREY POPULATIONS

被引：0
|
作者：
Wang, Jinfeng [1 ]
Shi, Junping [2 ]
Wei, Junjie [3 ]
机构：
[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Predator-prey system; nonexistence of periodic orbits; Dulac criterion; global bifurcation; LIMIT-CYCLES; GLOBAL STABILITY; UNIQUENESS; ENRICHMENT; PARADOX; MODEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use Dulac criterion to prove the nonexistence of periodic orbits for a class of general predator-prey system with strong Allee effect in the prey population growth. This completes the global bifurcation analysis of typical predator-prey systems with strong Allee effect for all possible parameters.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Bifurcation analysis of a delayed predator-prey system with strong Allee effect and diffusion
    Wang, Jinfeng
    Wei, Junjie
    APPLICABLE ANALYSIS, 2012, 91 (07) : 1219 - 1241
  • [22] Spatiotemporal dynamics of predator-prey system with Allee effect
    Wang, Wenting
    Ma, Zhihui
    Li, Zizhen
    ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING, 2010, : 216 - 219
  • [23] Bifurcations and chaos in a predator-prey system with the Allee effect
    Morozov, A
    Petrovskii, S
    Li, BL
    PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2004, 271 (1546) : 1407 - 1414
  • [24] Dynamics of predator-prey models with a strong Allee effect on the prey and predator-dependent trophic functions
    Buffoni, G.
    Groppi, M.
    Soresina, C.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 30 : 143 - 169
  • [25] Impact of Prey Refuge on a Discrete Time Predator-Prey System with Allee Effect
    Rana, Sourav
    Bhowmick, Amiya Ranjan
    Bhattacharya, Sabyasachi
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (09):
  • [26] Global qualitative analysis of a predator-prey system with Allee effect on the prey species
    Zu, Jian
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2013, 94 : 33 - 54
  • [27] Dynamics of a predator-prey system with a mate-finding Allee effect on prey
    Wu, Ruiwen
    Liu, Xiuxiang
    TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (03) : 585 - 604
  • [28] Cooperative hunting in a predator-prey system with Allee effects in the prey
    Jang, Sophia R. -J.
    Zhang, Wenjing
    Larriva, Victoria
    NATURAL RESOURCE MODELING, 2018, 31 (04)
  • [29] Modeling the Allee effect and fear effect in predator-prey system incorporating a prey refuge
    Huang, Ying
    Zhu, Zhenliang
    Li, Zhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [30] A delayed prey–predator system with prey subject to the strong Allee effect and disease
    Santanu Biswas
    Md. Saifuddin
    Sourav Kumar Sasmal
    Sudip Samanta
    Nikhil Pal
    Faisal Ababneh
    Joydev Chattopadhyay
    Nonlinear Dynamics, 2016, 84 : 1569 - 1594
12345