Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis

被引：3
|
作者：
Xu, Xue [1 ]
Wang, Yibo [2 ]
Wang, Yuwen [3 ]
机构：
[1] Harbin Univ, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
[2] China Acad Space Technol, Inst Telecommun Satellite, Beijing, Peoples R China
[3] Harbin Normal Univ, Sch Math & Sci, Harbin 150025, Heilongjiang, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2019年 / 16卷 / 04期
关键词：
predator-prey; taxis; steady state; bifurcation; Neumann boundary; GLOBAL BIFURCATION; PATTERN-FORMATION; SYSTEM; DYNAMICS;
D O I：
10.3934/mbe.2019086
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The paper investigates the steady state bifurcation analysis in a general Ronsenzwing-MacArthur predator prey model with two prey-taxis under Neumann boundary conditions. The results show that the rich dynamics in predator prey systems with two prey taxis.
引用
收藏
页码：1786 / 1797
页数：12
相关论文
共 50 条
  • [21] Predator invasion in predator-prey model with prey-taxis in spatially heterogeneous environment
    Choi, Wonhyung
    Ahn, Inkyung
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 65
  • [22] Boundedness and stabilization in a predator-prey model with prey-taxis and disease in predator species
    Xiang, Ailing
    Wang, Liangchen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 522 (01)
  • [23] Stationary Pattern and Global Bifurcation for a Predator-Prey Model with Prey-Taxis and General Class of Functional Responses
    Maimaiti, Yimamu
    Zhang, Wang
    Muhammadhaji, Ahmadjan
    MATHEMATICS, 2023, 11 (22)
  • [24] Boundedness and global stability of a diffusive prey-predator model with prey-taxis
    Wu, Sainan
    Ni, Wenjie
    APPLICABLE ANALYSIS, 2021, 100 (15) : 3259 - 3275
  • [25] A FREE BOUNDARY PROBLEM FOR A PREDATOR-PREY MODEL WITH NONLINEAR PREY-TAXIS
    Yousefnezhad, Mohsen
    Mohammadi, Seyyed Abbas
    Bozorgnia, Farid
    APPLICATIONS OF MATHEMATICS, 2018, 63 (02) : 125 - 147
  • [26] A Free Boundary Problem for a Predator-Prey Model with Nonlinear Prey-Taxis
    Mohsen Yousefnezhad
    Seyyed Abbas Mohammadi
    Farid Bozorgnia
    Applications of Mathematics, 2018, 63 : 125 - 147
  • [27] 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
  • [28] Bifurcations of a diffusive predator-prey model with prey-stage structure and prey-taxis
    Li, Yan
    Lv, Zhiyi
    Fan, Xiuzhen
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (18) : 18592 - 18604
  • [29] Stationary Patterns of a Predator-Prey Model with Prey-Stage Structure and Prey-Taxis
    Chen, Meijun
    Cao, Huaihuo
    Fu, Shengmao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (03):
  • [30] Boundedness and global stability of the predator-prey model with prey-taxis and competition
    Mi, Yingyuan
    Song, Cui
    Wang, Zhicheng
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 66
12345