带有加性阿利效应和迁移的捕食者-猎物模型的动态分析

IF 1.9 4区数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

International Journal of Bifurcation and Chaos Pub Date : 2023-12-11 DOI:10.1142/s0218127423501791

Xinhao Huang, Lijuan Chen, Yue Xia, Fengde Chen

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引用次数: 0

摘要

本文提出了一个捕食者-猎物模型，其中猎物具有加性阿利效应，捕食者具有人工控制迁移。当系统引入加性阿利效应和人工控制迁移时，会得到更复杂的动力学行为。系统会发生鞍节点分岔、跨临界分岔、杈叉分岔、霍普夫分岔和波格丹诺夫-塔肯斯分岔。发现并讨论了两个极限循环。此外，还介绍了相加的阿利效应和人为控制的迁移对系统动力学的影响。具体来说，当阿利效应较大时，猎物将灭绝。当人为控制的迁移率越大时，猎物（害虫）的强度将越小，而捕食者的强度将越大。这表明，人工控制迁移可以有效地控制害虫。

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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Dynamical Analysis of a Predator–Prey Model with Additive Allee Effect and Migration

In this paper, a predator–prey model in which the prey has the additive Allee effect and the predator has artificially controlled migration is proposed. When the system introduces additive Allee effect and artificially controlled migration, more complicated dynamical behavior is obtained. The system can undergo saddle-node bifurcation, transcritical bifurcation, pitchfork bifurcation, Hopf bifurcation and Bogdanov–Takens bifurcation. Two limit cycles are found and discussed. The influence of the additive Allee effect and artificially controlled migration on the dynamics of the system is also presented. In detail, when the Allee effect is large, the prey will become extinct. When the artificially controlled migration rate is larger, the intensity of the prey (pest) will be smaller and the intensity of the predator will be larger. This indicates that artificially controlled migration can be effectively used to control the pest.

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来源期刊

International Journal of Bifurcation and Chaos 数学-数学跨学科应用

CiteScore

4.10

自引率

13.60%

发文量

237

审稿时长

2-4 weeks

期刊介绍： The International Journal of Bifurcation and Chaos is widely regarded as a leading journal in the exciting fields of chaos theory and nonlinear science. Represented by an international editorial board comprising top researchers from a wide variety of disciplines, it is setting high standards in scientific and production quality. The journal has been reputedly acclaimed by the scientific community around the world, and has featured many important papers by leading researchers from various areas of applied sciences and engineering. The discipline of chaos theory has created a universal paradigm, a scientific parlance, and a mathematical tool for grappling with complex dynamical phenomena. In every field of applied sciences (astronomy, atmospheric sciences, biology, chemistry, economics, geophysics, life and medical sciences, physics, social sciences, ecology, etc.) and engineering (aerospace, chemical, electronic, civil, computer, information, mechanical, software, telecommunication, etc.), the local and global manifestations of chaos and bifurcation have burst forth in an unprecedented universality, linking scientists heretofore unfamiliar with one another''s fields, and offering an opportunity to reshape our grasp of reality.