AN IMPULSIVE PREDATOR-PREY SYSTEM WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND TIME DELAY
AN IMPULSIVE PREDATOR-PREY SYSTEM WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND TIME DELAY
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DOI：
10.1142/s1793524508000072
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发表时间：
2008-03
影响因子：
2.2
通讯作者：
Hong Zhang;P. Georgescu;Lansun Chen
中科院分区：
文献类型：
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作者：
Hong Zhang;P. Georgescu;Lansun Chen
研究了一类具有Beddington-DeAngelis功能反应和时滞的脉冲捕食-食饵模型，其中捕食者的进化经历了幼年和成熟两个阶段.假设只有成熟的捕食者才能捕食猎物和繁殖，时间延迟被理解为幼年捕食者从出生到成熟所花费的时间。首先可以看出，该模型的动力学可以完全确定通过使用一个简化的系统组成的方程的猎物和成熟的捕食者，分别。利用由频闪映射确定的离散动力系统，首先确定简化系统的成熟无捕食者周期解。通过比较技术，然后推导出充分的标准的成熟的捕食者自由的周期解的全局稳定性和持久性的减少系统，产生类似的性质为初始系统。结果表明，时滞和脉冲对模型的动力学特性有重要影响。
This paper deals with an impulsive predator-prey model with Beddington–DeAngelis functional response and time delay, in which the evolution of the predators takes them through two stages, juvenile and mature. It is assumed that only mature predators are able to hunt for prey and reproduce and the time delay is understood as being the time spent by the juvenile predators from birth to maturity. It is first seen that the dynamics of the model can be completely determined through the use of a reduced system consisting of the equations for prey and mature predators, respectively. Using the discrete dynamical system determined by the stroboscopic map, one first determines the mature predator-free periodic solution of the reduced system. By means of comparison techniques, one then deduces sufficient criteria for the global stability of the mature predator-free periodic solution and for the permanence of the reduced system, which yield similar properties for the initial system. As a result, it is observed that time delay and pulses have a crucial effect upon the dynamics of our model.