| 斑块环境下的常系数捕食-食饵系统的持久性 |
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| 引用本文： | 雷东侠,欧志英.斑块环境下的常系数捕食-食饵系统的持久性[J].兰州理工大学学报,2009,35(2). |
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| 作者姓名： | 雷东侠 欧志英 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 摘 要： | 考虑斑块环境下带有食饵阶段结构和比例依赖的常系数捕食-食饵时滞系统.利用比较原理得出模型解的正性和有界性,并建立该系统在初始条件下的一致持久性.给出食饵种群的非永久持久性的充分条件.
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| 关 键 词： | 捕食-食饵 阶段结构 比较原理 持久性 |
Persistence of predator-prey system with constant coefficients in patchy environment |
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| LEI Dong-xia,OU Zhi-ying.Persistence of predator-prey system with constant coefficients in patchy environment[J].Journal of Lanzhou University of Technology,2009,35(2). |
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| Authors: | LEI Dong-xia OU Zhi-ying |
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| Institution: | School of Science;Lanzhou Univ.of Tech.;Lanzhou 730050;China |
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| Abstract: | A delayed predator-prey system with constant coefficients,prey stage structure,and prey ratio-dependence in patchy environment was considered.Using the comparison principle,the positivity and the boundedness of the solution for the model were obtained and the uniform persistence of this system in given initial conditions was verified.Finally the sufficient condition for the impermanence of prey population was given. |
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| Keywords: | predator-prey stage structure comparison principle persistence |
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