探索单一捕食者-猎物系统的周期性行为

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-11-14 DOI:10.1007/s00013-024-02074-x

Zaitao Liang, Haining Zhu

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引用次数: 0

摘要

在本文中，我们深入研究了一个奇异的周期性捕食者-猎物系统，这个模型恰当地捕捉了复活节岛上人类种群进化的复杂动态。基于一阶高维微分系统的重合度理论，得到了该系统正周期解存在性的一个新结果。此外，我们还提供了数值模拟来可视化和证实我们的理论结果。

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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Exploring the periodic behavior of a singular predator-prey system

In this paper, we delve into a singular periodic predator-prey system, a model that aptly captures the intricate dynamics of human population evolution on Easter Island. Based on the coincidence degree theory for first-order high-dimensional differential systems, we derive a novel result regarding the existence of positive periodic solution for this system. Additionally, we offer numerical simulations to visualize and substantiate our theoretical result.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.