| 分布在非齐次空间中捕食－被捕食系统的锁相振动 |
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| 引用本文： | 魏俊杰,吴建宏.分布在非齐次空间中捕食－被捕食系统的锁相振动[J].数学学报,1996,39(4):566-573. |
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| 作者姓名： | 魏俊杰 吴建宏 |
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| 作者单位： | 东北师大数学系，加拿大Ｙｏｒｋ大学数理统计系 |
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| 摘 要： | 本文以经典的带有时滞的捕食－被捕食系统为基础，构造了一类泛函微分方程作为描述分布在由ｎ个岛屿构成的环状区域上的捕食－被捕食种群生长过程的模型．我们假设种群在最相邻的岛屿间相互迁移，以迁移率为分支参数，研究了该系统的锁相振动，给出了离散波分支的存在条件．
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| 关 键 词： | 捕食－被捕食，时滞，锁相振动，分支 |
| 收稿时间： | 1994-04-13 |
| 修稿时间： | 1994-11-21 |
Phase-Locked Oscillation in Predator-Prey Communities over Hetergeneous Spaces |
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| Institution: | Wei Junjie(Deparfment of Mathematics, Northeast Normal University, Changchun 130024, China)Wu Jianhong; Zou Xingfu(Department of Mathematics and Statistics, York University, Canada) |
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| Abstract: | In this paper, A system of retarded functional differential equation which based onthe classical predator-prey system with delay is proposed as a model of the gorwth of a predatorprey species populations distributed over a ring of patches, where the dispersion from one patchto others occurs only in nearest neighbors. We regard the rate of moving as bifurcation parameterto study the phase-locked oscillation in the model. The existence conditions for discrete wavesare obtained. |
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| Keywords: | Predator-prey Delay Phase-locked Oscillation Bifurcation |
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