离散型种群竞争模型的周期解

Periodic Solution for Discrete Competition Model

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.