Complexity of a Delayed predator-prey Model with impulsive Harvest and Holling Type II Functional Response

Complexity of a Delayed predator-prey Model with impulsive Harvest and Holling Type II Functional Response
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DOI：
10.1142/s0219525908001519
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发表时间：
2008-02
期刊：
Adv. Complex Syst.
影响因子：
--
通讯作者：
Guangzhao Zeng;Fengyan Wang;J. Nieto
Guangzhao Zeng;Fengyan Wang;J. Nieto
中科院分区：
其他
文献类型：
--
作者：
Guangzhao Zeng;Fengyan Wang;J. Nieto

文献摘要

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我们研究了具有 Holling II 型功能反应的脉冲延迟差分捕食者-被捕食者模型。利用脉冲Floquet理论分析了微不足道平衡的稳定性，为灭绝提供了充分条件。利用重合度理论我们证明了正周期解的存在性。然后对系统进行数值分析，揭示延迟和脉冲的存在可能导致混沌解、准周期解或多周期解。给出了一些模拟和例子。
We study an impulsive delay differential predator–prey model with Holling type II functional response. The stability of the trivial equilibrium is analyzed by means of impulsive Floquet theory providing a sufficient condition for extinction. Using coincidence degree theory we show the existence of positive periodic solutions. The system is then analyzed numerically, revealing that the presence of delays and impulses may lead to chaotic solutions, quasi-periodic solutions, or multiple periodic solutions. Several simulations and examples are presented.