一类捕食者-猎物模型正周期解的存在性

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2023-03-26 DOI:10.5556/j.tkjm.55.2024.4821

C. Feng

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引用次数: 0

摘要

研究了一类具有3个离散时滞的非线性捕食者-食饵模型。通过在正平衡点处对系统进行线性化，分析线性化后系统的不稳定性，得到了保证系统正周期解存在的两个充分条件。研究发现，在适当的参数条件下，时滞会影响系统的稳定性。对于具有三个离散时滞的捕食者-猎物模型，该方法不需要考虑复杂的分岔方程。给出了一些数值模拟来说明我们的理论预测。

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Existence of positive periodic solutions for a predator-prey model

In this paper, a class of nonlinear predator-prey models with three discrete delays is considered. By linearizing the system at the positive equilibrium point and analyzing the instability of the linearized system, two sufficient conditions to guarantee the existence of positive periodic solutions of the system are obtained. It is found that under suitable conditions on the parameters, time delay affects the stability of the system. The present method does not need to consider a bifurcating equation which is very complex for such a predator-prey model with three discrete delays. Some numerical simulations are provided to illustrate our theoretical prediction.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.