Global existence of a diffusive predator-prey model with prey-stage structure and prey-taxis

被引：0
|
作者：
Mi, Ying-Yuan [1 ]
Song, Cui [1 ]
Wang, Zhi-Cheng [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Predator-prey system; Prey-stage structure; Prey-taxis; Global boundedness; CHEMOTAXIS-HAPTOTAXIS MODEL; CANCER INVASION; BOUNDEDNESS; SOLVABILITY; SYSTEM; TISSUE;
D O I：
10.1007/s00033-023-01975-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence of classical solution of a diffusive predator-prey model with prey-taxis and stage-structure for the immature prey under homogeneous Neumann boundary condition in two dimensions. Here, we emphasize that the immature prey does not disperse compared to the classical predator-prey models.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] Global existence of a diffusive predator–prey model with prey-stage structure and prey-taxis
    Ying-Yuan Mi
    Cui Song
    Zhi-Cheng Wang
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2023, 74
  • [2] Bifurcations of a diffusive predator-prey model with prey-stage structure and prey-taxis
    Li, Yan
    Lv, Zhiyi
    Fan, Xiuzhen
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (18) : 18592 - 18604
  • [3] Stationary Patterns of a Predator-Prey Model with Prey-Stage Structure and Prey-Taxis
    Chen, Meijun
    Cao, Huaihuo
    Fu, Shengmao
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (03):
  • [4] BOUNDEDNESS AND STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY-STAGE STRUCTURE AND PREY-TAXIS
    Wu, Guiling
    Zhang, Yun
    Xin, Qiao
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024,
  • [5] Global solution of a diffusive predator-prey model with prey-taxis
    Wang, Jianping
    Wang, Mingxin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (10) : 2676 - 2694
  • [6] Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
    Wu, Sainan
    Shi, Junping
    Wu, Boying
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (07) : 5847 - 5874
  • [7] Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
    Tao, Youshan
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 2056 - 2064
  • [8] Predator-prey model with prey-taxis and diffusion
    Chakraborty, Aspriha
    Singh, Manmohan
    Lucy, David
    Ridland, Peter
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (3-4) : 482 - 498
  • [9] PATTERN FORMATION IN DIFFUSIVE PREDATOR-PREY SYSTEMS WITH PREDATOR-TAXIS AND PREY-TAXIS
    Wang, Jinfeng
    Wu, Sainan
    Shi, Junping
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (03): : 1273 - 1289
  • [10] Steady states of a diffusive predator-prey model with prey-taxis and fear effect
    Cao, Jianzhi
    Li, Fang
    Hao, Pengmiao
    [J]. BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
12345