STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE

IF 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems Pub Date : 2023-05-26 DOI:10.1142/s0218339023500146

Wenchang Chen, Hengguo Yu, Chuanjun Dai, Qing Guo, He Liu, Min Zhao

引用次数: 0

Abstract

In this paper, a predator–prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator–prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov–Takens bifurcation. In addition, a series of numerical simulations were carried out to illustrate the theoretical analysis, and the numerical results are consistent with the analytical results. Our results demonstrate that prey refuge has a great impact on the predator–prey dynamics.

查看原文本刊更多论文

具有猎物庇护的捕食者-猎物模型的稳定性和分岔

在本文中，建立了一个具有猎物避难所的捕食者-猎物模型，以研究猎物避难所如何影响捕食者-猎物相互作用的动力学。我们研究了平衡点的存在性和稳定性，然后导出了分岔的充分条件，如鞍节点、跨临界、Hopf和Bogdanov-Takens分岔。此外，还进行了一系列数值模拟来说明理论分析，数值结果与分析结果一致。我们的研究结果表明，猎物避难所对捕食者-猎物的动力学有很大影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Biological Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

期刊介绍： The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.