具有平方根响应函数和通性捕食者的莱西尔-高尔捕食者-猎物模型的动态变化

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2024-06-06 DOI:10.1016/j.aml.2024.109193

Mengxin He , Zhong Li

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引用次数: 0

摘要

研究了一个具有平方根响应函数和通性捕食者的莱斯利-高尔捕食者-猎物模型，并讨论了系统均衡点的存在性和稳定性。结果表明，该系统经历了编码维数正好为 2 的退化霍普夫分岔，其中存在两个极限循环。此外，我们还发现该系统有一个标度为 2 的顶点，并表现出一个标度为 2 的波格丹诺夫-塔肯斯分岔。我们的研究结果揭示了比没有普遍捕食者的系统更丰富的动力学。

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Dynamics of a Lesile–Gower predator–prey model with square root response function and generalist predator

A Leslie–Gower predator–prey model with square root response function and generalist predator is considered, and the existence and stability of equilibria of the system are discussed. It is shown that the system undergoes a degenerate Hopf bifurcation of codimension exactly two, where there exist two limit cycles. In addition, we find that the system has a cusp of codimension two and exhibits a Bogdanov–Takens bifurcation of codimension two. Our results reveal richer dynamics than the system with no generalist predator.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.