| 具有扩散的年龄阶段结构捕食模型的渐近性 |
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| 引用本文： | 黄利航,冯有前.具有扩散的年龄阶段结构捕食模型的渐近性[J].宁夏大学学报(自然科学版),2010,31(1):26-30. |
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| 作者姓名： | 黄利航 冯有前 |
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| 作者单位： | 空军工程大学,理学院,陕西,西安,710051 |
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| 基金项目： | 陕西省自然科学基金资助项目 |
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| 摘 要： | 研究一类2种群都具有扩散的捕食-被捕食系统年龄阶段结构模型．首先通过构造Lyapunov泛函证明了惟一正平衡态的局部渐近稳定性，再利用方程组的比较原理给出正平衡态全局渐近稳定的充分条件．
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| 关 键 词： | 阶段结构 捕食-被捕食模型 全局渐近稳定性 扩散 |
Asymptotic Behaviors of A Stage-structured Predator System with Dispersal |
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| Huang Lihang,Feng Youqian.Asymptotic Behaviors of A Stage-structured Predator System with Dispersal[J].Journal of Ningxia University(Natural Science Edition),2010,31(1):26-30. |
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| Authors: | Huang Lihang Feng Youqian |
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| Affiliation: | School of Science/a>;Air Force Engineering University/a>;Xi'an 710051/a>;China |
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| Abstract: | A two-species predator-prey stage structure model with dispersal is investigated.Both of the two species have dispersal.It is shown that the unique positive equilibrium is asymptotic stability.In the following,by using the comparison theorem,the sufficient conditions for the global asymptotic stability of the positive equilibrium are obtained. |
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| Keywords: | stage structure predator-prey model globally asymptotically stable dispersal |
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