具有瓦特型功能响应的脉冲控制捕食系统的复杂动态行为

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.831

H. Baek

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引用次数: 0

摘要

本文考虑一个具有瓦特型函数响应和脉冲控制的离散捕食者-猎物系统。首先利用Floquet理论找到了系统无猎物正周期解稳定的充分条件，然后证明了系统的有界性。此外，还得到了系统持久的一个条件。最后，我们举例说明了一些数值例子来证实我们的理论结果，并通过数值模拟显示了系统的一些解的分岔图和轨迹，表明脉冲控制可以产生各种动态行为。

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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Complex Dynamic Behaviors of an Impulsively Controlled Predator-prey System with Watt-type Functional Response

In this paper, we consider a discrete predator-prey system with Watt-type functional response and impulsive controls. First, we find sufficient conditions for stability of a prey-free positive periodic solution of the system by using the Floquet theory and then prove the boundedness of the system. In addition, a condition for the permanence of the system is also obtained. Finally, we illustrate some numerical examples to substantiate our theoretical results, and display bifurcation diagrams and trajectories of some solutions of the system via numerical simulations, which show that impulsive controls can give rise to various kinds of dynamic behaviors.

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.