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

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In this paper the author investigates the following predator-prey model with prey-taxis and rotational flux terms{ut=△u-▽·(uS(x,u,v)▽v)+γuF(v)-uh(u),x ∈Ω,t＞0,vt=D△v-uF(v)+f(v),x ∈ Ω,t＞0 (*)in a bounded domain with smooth boundary.He presents the global existence of generalized solutions to the model(*)in any dimension.

Predator-preyPrey-taxisGlobal existenceRotational flux

Guoqiang REN、Bin LIU

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School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China

Hubei Key Laboratory of Engineering Modeling and Scientific Computing,Huazhong University of Science and Technology,Wuhan 430074,China

国家自然科学基金国家自然科学基金中央高校基本科研业务费专项

12001214122310083004011139

2024

10.1007/s11401-024-0018-4

数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子：0.129
ISSN：0252-9599
年,卷(期)：2024.45(2)
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