崔景安, 黄永年. 一类周期互惠共存系统的正周期解[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1992, (2).DOI:
一类周期互惠共存系统的正周期解
摘要
本文考虑一类两种群周期互惠共存系统
应用拓扑度理论
得到了系统存在唯一的渐近稳定的正周期解的合理条件;并进一步证明了周期解的全局渐近稳定性
给出了解的最优上下界估计。
Abstract
In this peper
a periodic copperative system for two species is considered. By using the conceptionof topological degree
we obtain a reasonable condition under which the system has a unique andasymptotic stabele positive solution. Furthermore
we prove that the positive periodic solution is global-ly asymptotically stable and give optimal upper and lower bounds of the components of the solution.