Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms

被引：0
|
作者：
Ren, Guoqiang [1 ,2 ]
Liu, Bin [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2024年 / 45卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Predator-prey; Prey-taxis; Global existence; Rotational flux; 2-SPECIES CHEMOTAXIS SYSTEM; REACTION-DIFFUSION SYSTEM; PATTERN-FORMATION; GENERALIZED SOLUTIONS; ASYMPTOTIC-BEHAVIOR; BIOLOGICAL-CONTROL; DYNAMICS; BOUNDEDNESS; STABILITY; EXISTENCE;
D O I：
10.1007/s11401-024-0018-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the author investigates the following predator-prey model with prey-taxis and rotational flux terms {u(t) = Delta u - del center dot (uS(x, u, v)del v) + gamma uF(v)-uh(u), x is an element of Omega, t > 0, (*) v(t) = D Delta v - uF(v) + f(v), x is an element of Omega, t > 0 in a bounded domain with smooth boundary. He presents the global existence of generalized solutions to the model (*) in any dimension.
引用
收藏
页码：297 / 318
页数：22
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