| 具有阶段结构及捕食者具有脉冲扰动的Beddington-DeAngelis食饵-捕食者模型 |
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| 引用本文： | 熊佐亮,王娓,武丽凤. 具有阶段结构及捕食者具有脉冲扰动的Beddington-DeAngelis食饵-捕食者模型[J]. 南昌大学学报(理科版), 2010, 34(1): 1 |
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| 作者姓名： | 熊佐亮 王娓 武丽凤 |
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| 作者单位： | 南昌大学数学系； |
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| 基金项目： | 江西省自然科学基金(2009GZS0020) |
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| 摘 要： | 讨论与生物资源管理相关的具有阶段结构且捕食者具有脉冲扰动的食饵一捕食者模型,得到了食饵灭绝周期解的全局吸引和系统持久的充分条件,也证明了系统的所有解的一致完全有界.通过数值模拟验证了所得理论结果的正确性.所得结论为现实的生物资源管理提供了可靠的策略依据。
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| 关 键 词： | 食饵一捕食者模型 一致持久 全局吸引 脉冲扰动 |
A Delayed Stage-structured Beddington-DeAngelis Predator-prey Model with Impulsive on Predator |
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| XIONG Zuo-liang,WANG wei,WU Li-feng. A Delayed Stage-structured Beddington-DeAngelis Predator-prey Model with Impulsive on Predator[J]. Journal of Nanchang University(Natural Science), 2010, 34(1): 1 |
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| Authors: | XIONG Zuo-liang WANG wei WU Li-feng |
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| Affiliation: | Department of Mathematics/a>;Nanchang University/a>;Nanchang 330031/a>;China |
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| Abstract: | A delayed stage-structured predator-prey biological resource management model with impulsive on predator is considered.Sufficient conditions which guarantee the global attractivity of prey-extinction periodic solution and permanence of the system are obtained.Numerical results show that the obtained conclusions are accurate.The results provide reliable tactic basis for the practical biological resource management. |
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| Keywords: | predator-prey model impulsive perturbations global attractivity permanence |
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