GLOBAL SOLUTIONS AND PATTERN FORMATIONS FOR A DIFFUSIVE PREY-PREDATOR SYSTEM WITH HUNTING COOPERATION AND PREY-TAXIS

被引：1
作者：
Zhang, Huisen [1 ]
Fu, Shengmao [1 ,2 ]
Huang, Canyun [3 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
[2] Kashi Univ, Sch Math & Stat, Kashi 844006, Peoples R China
[3] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 09期
关键词：
Hunting cooperation; prey-taxis; uniform boundedness; taxis-driven instability; pattern formation; PACK SIZE; MODEL; BIFURCATION; BOUNDEDNESS; STABILITY; BEHAVIOR;
D O I：
10.3934/dcdsb.2024017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. In this paper, a diffusive prey-predator model with hunting cooperation and prey-taxis is proposed and investigated. First, we prove the uniform boundedness and global existence of time-varying solutions to the model. Then the stability and prey-taxis-driven instability of positive equilibrium are discussed through linearization analysis. It is found that negative prey-taxis may change the spatial stability of the positive equilibrium, implying formation of Turing pattern. Next, we discuss the existence and stability of the spatial pattern by choose the prey-tactic sensitivity coefficient as bifurcation parameter. Finally, some numerical simulations are performed to visualize the impact of prey-taxis on the complex spatial pattern formation.
引用
收藏
页码：3621 / 3644
页数：24
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