| 具有非单调功能反应和脉冲扰动的捕食系统的研究 |
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| 引用本文： | 谭德君. 具有非单调功能反应和脉冲扰动的捕食系统的研究[J]. 数学杂志, 2005, 25(2): 210-216 |
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| 作者姓名： | 谭德君 |
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| 作者单位： | 鞍山师范学院学报编辑部,辽宁,鞍山,114005 |
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| 摘 要： | 研究捕食者具有非单调功能反应和周期脉冲扰动的捕食者一食饵系统，利用脉冲微分方程的Floquet理论和比较定理，得到了系统灭绝和持续生存的充分条件．最后，通过数值模拟阐明系统在周期脉冲扰动下的复杂性．
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| 关 键 词： | 捕食者-食饵系统 脉冲 复杂性 混沌 |
| 文章编号： | 0255-7797(2005)02-0210-07 |
THE STUDY OF PREDATOR-PREY SYSTEM WITH NON-MONOTONIC FUNCTIONAL RESPONSE AND IMPULSIVE PERTURBATIONS |
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| TAN De-jun. THE STUDY OF PREDATOR-PREY SYSTEM WITH NON-MONOTONIC FUNCTIONAL RESPONSE AND IMPULSIVE PERTURBATIONS[J]. Journal of Mathematics, 2005, 25(2): 210-216 |
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| Authors: | TAN De-jun |
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| Abstract: | We investigate the predator-prey system with non-monotonic functional response and periodic impulsive perturbations on the predator. By using the Floquet theory of impulsive equation and comparison theorem, sufficient conditions for the system to be extinct and permanence are given. Lastly, use the numerical simulation to illustrate the complexity of the system resulted from the periodic impulsive perturbation. |
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| Keywords: | predator-prey system impulsive complexity chaos |
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