Dynamical analysis of a discrete-time plant–herbivore model

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-08-29 DOI:10.1007/s40065-023-00442-z

M. Y. Hamada

引用次数: 0

Abstract

In this paper, a discrete-time model of a plant–herbivore system is qualitatively analyzed using difference equations to describe population dynamics over time. The goal is to examine how the model behaves under varying parameter values and initial conditions. Results reveal that the model exhibits diverse dynamical behaviors such as stable equilibria, period-doubling cascade, and chaotic attractors. The analysis indicates that changes in crucial parameters greatly affect the system’s dynamics. This study offers crucial insights into plant–herbivore systems and highlights the value of qualitative analysis in comprehending intricate ecological systems.

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离散时间植物食草动物模型的动态分析

本文使用差分方程对植物-食草动物系统的离散时间模型进行了定性分析，以描述种群随时间的动态变化。目的是研究该模型在不同参数值和初始条件下的表现。结果表明，该模型表现出多种动态行为，如稳定平衡、周期加倍级联和混沌吸引子。分析表明，关键参数的变化会极大地影响系统的动力学。这项研究提供了对植物食草动物系统的重要见解，并强调了定性分析在理解错综复杂的生态系统方面的价值。

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

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.