两物种竞争模型中离散时滞产生的振荡与共存

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI:10.3934/dcdsb.2023156

Xiaolan Wang, Chanaka Kottegoda, Chunhua Shan, Qihua Huang

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引用次数: 0

摘要

经典的Lotka-Volterra竞争模型的缺点之一是，两个物种的出生都被假设为瞬时的，而发育和成熟过程可能会导致时间延迟。本文将Lotka-Volterra竞争模型推广为基于单物种延迟模型的延迟模型。研究了两个离散时滞对竞争结果的影响。我们的理论和数值结果表明，时滞可以通过Hopf分岔导致平衡的稳定性丧失和周期解(即种群密度振荡)的出现，通过改变共存平衡的稳定性导致排斥，即使共存平衡点不存在也可以促进共存。

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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Oscillations and coexistence generated by discrete delays in a two-species competition model

One of the shortcomings of the classical Lotka-Volterra competition model is that both species' births are assumed to be instantaneous, whereas developmental and maturation processes may cause time delays. We extend the Lotka-Volterra competition model to a delayed model based on a single species delayed model in this paper. The effects of two discrete delays on competition outcomes are investigated. Our theoretical and numerical results show that delays can cause the loss of stability of equilibria and the emergence of periodic solutions (i.e., population density oscillations) via Hopf bifurcation, lead to exclusion by changing the stability of coexistence equilibrium, and boost coexistence even if the coexistence equilibrium point does not exist.

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来源期刊

Discrete and Continuous Dynamical Systems-Series B 数学-应用数学

CiteScore

2.80

自引率

8.30%

发文量

216

审稿时长

6 months

期刊介绍： Centered around dynamics, DCDS-B is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.