具有报警趋向性的三种空间捕食模型的全局有界性

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2025-06-18 DOI:10.1016/j.rinam.2025.100602

Pengfei Luo , Yun Zhang , Lu Xu

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引用次数: 0

摘要

捕食者的定向动机受猎物密度及其报警信号的影响，本文研究了一个包含趋向性和报警趋向性的三物种空间捕食模型。利用能量估计和热半群理论，证明了该模型在N维空间（N≥3）具有Neumann边界条件的有界全局经典解。

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Global boundedness of a three-species spatial intraguild predation model with alarm-taxis

The directional motivation of predator is influenced by the density of prey and its alarm call, this paper focuses on a three-species spatial intraguild predation model involving prey-taxis and alarm-taxis. By energy estimates and heat semigroup theory, we prove that this model possesses a bounded and global classical solution in