具有Allee效应的延迟捕食-捕食系统的Hopf分岔

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/7921

M. Hafdane, J. Collera, I. Agmour, Y. E. Foutayeni

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引用次数: 1

摘要

．在本研究中，我们考虑了一个具有两个延迟的捕食者-猎物系统，猎物是海胆，捕食者是螃蟹。重点是猎物种群经历的Allee效应，少数捕食者的中毒，以及被认为对猎物有选择性的两种物种的捕捞效应。我们的目的是利用分岔理论分析系统在内部平衡附近的稳定性，并确定与时滞相关的稳定性区间。利用范式理论和中心流形来确定分岔的方向。最后，在DDE-Biftool Matlab软件包中采用数值方法对理论结果进行了数值模拟。

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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Hopf bifurcation for delayed prey-predator system with Allee effect

. In this study, we take into account a predator-prey system with two delays, the prey is sea urchins and the predator is crabs. The focus is given to the Allee effect where the prey population undergoes, the poisoning of few predators, and a ﬁshing effect on both species considered as selective for the prey. We aim to analyze the system’s stability around interior equilibrium using the theory of bifurcations and determine stability intervals related to delays. The theory of normal form and the center manifold are used to determine the direction of the bifurcations. Finally, numerical simulations are given by numerical methods in DDE-Biftool Matlab package to illustrate the theoretical results.

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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.