具有阶段结构和相互干扰的捕食-食饵模型的动力学分析。

IF 1.8 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2020-12-01 DOI:10.1080/17513758.2020.1737740

Xinzhe Zhang, Gang Huang, Yueping Dong

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引用次数: 1

摘要

本文建立了一个具有相互干扰的阶段结构捕食者-食饵模型，该模型包含两个离散时滞。通过理论分析，建立了以捕食者成熟时滞为分岔参数时唯一正平衡的稳定性和Hopf分岔的存在性。我们的研究结果表明，猎物的成熟延迟不影响正平衡的稳定性。然而，捕食者的成熟延迟会破坏正平衡并导致周期解。数值模拟验证了理论结果，并展示了两种类型的延迟和相互干扰的差异影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamical analysis on a predator-prey model with stage structure and mutual interference.

In this paper, we formulate a stage-structured predator-prey model with mutual interference, in which includes two discrete delays. By theoretical analysis, we establish the stability of the unique positive equilibrium and the existence of Hopf bifurcation when the maturation delay for predators is used as the bifurcation parameter. Our results exhibit that the maturation delay for preys does not affect the stability of the positive equilibrium. However, the maturation delay for predator is able to destabilize the positive equilibrium and causes periodic solutions. Numerical simulations are carried out to illustrate the theoretical results and display the differential impacts of two type delays and mutual interference.

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来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.