离散型种群竞争模型的周期解  

Periodic Solution for Discrete Competition Model

作　　者：肖辉成[1] 杨晓松[2] 

机构地区：[1]宜宾学院数学系,川宜宾644007 [2]重庆邮电学院非线性研究所,重庆400065

出　　处：《电子科技大学学报》2005年第3期417-420,共4页Journal of University of Electronic Science and Technology of China

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。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.

关 键 词：离散系统 齐次坐标 周期解 种群竞争模型 

分 类 号：O193[理学—数学]