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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 被引量：5

A Delayed Stage-structured Beddington-DeAngelis Predator-prey Model with Impulsive on Predator
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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。 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.
作者 熊佐亮 王娓 武丽凤
机构地区 南昌大学数学系
出处 《南昌大学学报（理科版）》 CAS 北大核心 2010年第1期5-11,共7页 Journal of Nanchang University(Natural Science)
基金 江西省自然科学基金(2009GZS0020)
关键词 食饵一捕食者模型 脉冲扰动 全局吸引 一致持久 predator - prey model impulsive perturbations global attractivity permanence
分类号 O175.1 [理学—基础数学]
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参考文献9

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二级参考文献7

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共引文献3

同被引文献41

  • 1LIU X,CHEN L.Complex Dynamics of Holling Type II Lotka-Volterra Predator-prey System with Impulsive Perturbations on the Predator[J].Chaos Solitons & Fractals,2003,16:311-320.
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  • 10HUNKI Baek.Species Extinction and Permanence of an Impulsively Controlled Two-prey One-predator System with Seasonal Effects[J].BioSystems,2009,98:7-18.

引证文献5

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南昌大学学报（理科版）
2010年 第1期

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