数学年刊B辑(英文版)2024,Vol.45Issue(2) :297-318.DOI:10.1007/s11401-024-0018-4

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

Guoqiang REN Bin LIU
数学年刊B辑(英文版)2024,Vol.45Issue(2) :297-318.DOI:10.1007/s11401-024-0018-4

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

Guoqiang REN 1Bin LIU1
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作者信息

  • 1. 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
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Abstract

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.

Key words

Predator-prey/Prey-taxis/Global existence/Rotational flux

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基金项目

国家自然科学基金(12001214)

国家自然科学基金(12231008)

中央高校基本科研业务费专项(3004011139)

出版年

2024
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
参考文献量60
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