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带有竞争的非线性捕食者-食饵模型解的有界性

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主要研究了一类带有竞争机制的非线性捕食者-食饵模型.通过对试验函数 φ(w)的精细构造,对加权积分(∫Ωupφ(w))和(∫Ωvpφ(w))的计算,可以得到u和v在Lp(Ω)中对任何有限p的有界性.并通过Moser-Alikakos迭代技巧,成功证明在某种参数条件下该模型具有全局有界经典解.
Boundedness of Solution to Nonlinear Predator-Prey Model with Competition
In this study, we focus on analyzing a nonlinear predator-prey model incorporating a competitive mechanism. Through the me-ticulous construction of the test function φ(w) and the calculation of the weighted integrals(∫Ωupφ(w) )and(∫Ωvpφ(w)), we establish the Lp(Ω) boundedness of both variables u and v. Utilizing a Moser-Alikakhos-type iterative approach, we effectively demonstrate the exist-ence of a globally bounded classical solution for the model under given specific parameter constraints.

predator-prey modelweighted integralglobal boundednesscompetition

赵司军、王辉

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伊犁师范大学数学与统计学院,新疆 伊宁835000

伊犁师范大学应用数学研究所,新疆 伊宁835000

捕食者-食饵模型 加权积分 全局有界性 竞争

伊犁师范大学科研项目

2021SYSB077

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(4)
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