摘要
P.Cull[1]和G.Rosenkrauz[2]研究了由一阶差分方程x1+1=g（x1）所描述的单种群离散模型,得到平衡点（?）全局稳定的一介重要结果.但他们只研究了 g（x）在（0,（?））中只有一个极大点的情形.本文研究了 g（x）有多个极大点的情形且得到某些类似的结果.应用这些结果,我们还得到一些关于全局稳定的判别法,它们包含了F1sher 的某些结果.
P.Cull and G Rosenkranz studied a discrete model of a population describedby the first order difference equation x_(t+1)=g(x_t),and obtained an importantresult on the global stability of the equilibrium point ■ when g(x) has one ex-treme point (a maximum) in (0,■).In this paper,we consider more generalcase in which g(x) has more than one maximum point in (0,■) and obtain somesimilar results.Appling these results,we develop texts for global stability ofthe equilibrium point which extend those in Fisher's etal.
出处
《新疆大学学报（自然科学版）》
CAS
1989年第2期28-34,共7页
Journal of Xinjiang University(Natural Science Edition)
关键词
离散模型
单种群
全局稳定性
discrete models
single species population global stability
