Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI:10.4208/eajam.220421.280921

Qian Zhao null, Bin Liu

引用次数: 0

Abstract

. This paper considers the global existence and boundedness of classical solutions to a predator-prey-mutualist model with prey-taxis. In addition, by constructing the Lyapunov functionals, we proved when α < ( ac / b ) · r + a / b , the positive equilibrium point is globally asymptotic stable; and when α ∈ (( ac / b ) · r + a / b , M 1 ) , the semi-trivial equilibrium point is globally asymptotic stable. Finally, we give some numerical exam-ples to validate our results.

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具有捕食-滑行的捕食者-被捕食互斥模型的全局存在性和渐近性

本文研究了一类具有捕食出租车的捕食者-猎物互惠模型经典解的全局存在性和有界性。此外，通过构造李雅普诺夫泛函，我们证明了当α<（ac/b）·r+a/b时，正平衡点是全局渐近稳定的；当α∈（（ac/b）·r+a/b，M1）时，半平凡平衡点是全局渐近稳定的。最后，我们给出了一些数值例子来验证我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

East Asian Journal on Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.60

自引率

8.30%

发文量

期刊介绍： The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.