A FREE BOUNDARY PROBLEM FOR A PREDATOR-PREY MODEL WITH NONLINEAR PREY-TAXIS

被引：8
|
作者：
Yousefnezhad, Mohsen [1 ]
Mohammadi, Seyyed Abbas [2 ]
Bozorgnia, Farid [3 ]
机构：
[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[2] Univ Yasuj, Coll Sci, Dept Math, Yasuj 7591874934, Iran
[3] Orebro Univ, Sch Sci & Technol, Dept Math, SE-70182 Orebro, Sweden
来源：
APPLICATIONS OF MATHEMATICS | 2018年 / 63卷 / 02期
关键词：
prey-predator model; prey-taxis; free boundary; classical solutions; global existence; REACTION-DIFFUSION SYSTEM; SPATIAL SEGREGATION; STABILITY;
D O I：
10.21136/AM.2018.0227-17
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a reaction-diffusion system modeling a free boundary problem of the predator-prey type with prey-taxis over a one-dimensional habitat. The free boundary represents the spreading front of the predator species. The global existence and uniqueness of classical solutions to this system are established by the contraction mapping principle. With an eye on the biological interpretations, numerical simulations are provided which give a real insight into the behavior of the free boundary and the stability of the solutions.
引用
收藏
页码：125 / 147
页数：23
相关论文
共 50 条
  • [21] Global bifurcation for a Holling-Tanner predator-prey model with prey-taxis
    Zhang, Lina
    Fu, Shengmao
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 47 : 460 - 472
  • [22] GLOBAL GENERALIZED SOLUTIONS TO A THREE SPECIES PREDATOR-PREY MODEL WITH PREY-TAXIS
    Wang, Xin
    Li, Ruijing
    Shi, Yu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (12): : 7021 - 7042
  • [23] Bifurcation analysis of a diffusive predator-prey model with hyperbolic mortality and prey-taxis
    Li, Yan
    Lv, Zhiyi
    Zhang, Fengrong
    Hao, Hui
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024, 17 (01)
  • [24] Steady states of a diffusive predator-prey model with prey-taxis and fear effect
    Cao, Jianzhi
    Li, Fang
    Hao, Pengmiao
    BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
  • [25] Roles of delay on a food-limited predator-prey model with prey-taxis
    Lu, Fengping
    Yang, Youwei
    Ye, Luhong
    Wu, Daiyong
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (05):
  • [26] Dynamic and pattern formation of a diffusive predator-prey model with indirect prey-taxis and indirect predator-taxis
    Wu, Sainan
    Wang, Yiran
    Geng, Dongxu
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 84
  • [27] Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms
    Ren, Guoqiang
    Liu, Bin
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2024, 45 (02) : 297 - 318
  • [28] Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms
    Guoqiang REN
    Bin LIU
    Chinese Annals of Mathematics,Series B, 2024, (02) : 297 - 318
  • [29] Steady states of a diffusive predator-prey model with prey-taxis and fear effect
    Jianzhi Cao
    Fang Li
    Pengmiao Hao
    Boundary Value Problems, 2022
  • [30] Boundedness in a predator-prey system with prey-taxis and nonlinear gradient-dependent sensitivity
    Mi, Ying-Yuan
    Song, Cui
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 5900 - 5914
12345