| 离散型种群竞争模型的周期解 |
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| 引用本文： | 肖辉成,杨晓松.离散型种群竞争模型的周期解[J].电子科技大学学报(社会科学版),2005(3). |
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| 作者姓名： | 肖辉成 杨晓松 |
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| 作者单位： | 宜宾学院数学系 川宜宾644007
(肖辉成)，重庆邮电学院非线性研究所 重庆400065(杨晓松) |
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| 摘 要： | 研究了一类离散型种群生存竞争模型的周期解问题。利用射影几何中常用的齐次坐标记法,把非线性系统用逐次递推的线性形式来表示,得到了判别系统有最小正周期m的周期解的一个充要条件。该结果证明了系统不存在最小正周期m=2的周期解,得出了具有最小正周期m=3的周期解时系统的一般表达式和最小正周期m=3的一个判定定理。
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| 关 键 词： | 离散系统 齐次坐标 周期解 种群竞争模型 |
Periodic Solution for Discrete Competition Model |
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| XIAO Hui-cheng,YANG Xiao-song.Periodic Solution for Discrete Competition Model[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2005(3). |
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| Authors: | XIAO Hui-cheng YANG Xiao-song |
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| Institution: | 1. Department of Math Yibin University Sichuan Yibin 644007; 2. Institute for Nonlinear Systems Chongqing University of Posts and Telecommunications Chongqing 400065 |
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| Abstract: | In this paper, we study a class of discrete competition model, Us the homogeneous coordinates of projective geometry to establish the linear zed equations for the systems, present a sufficient and necessary conditions for this systems having periodic solutions with periodic. And us the result, we proof that there are not periodic solutions with two period for the systems; establish the generality equations having periodic solutions with period with three. |
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| Keywords: | discrete systems homogeneous coordinates periodic solutions competition models |
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