北华大学学报:自然科学版2012,Vol.13Issue(1):1-8,8.
具有脉冲的非自治多种群Lotka—Volterra竞争系统的周期性
Periodicity of a Nonautonomous Multi-Species Lotka-Volterra Competitive System with Impulse
摘要
Abstract
By using the continuation theorem of coincidence degree theory, we study the nonautonomous n-species Lotka-Voherra competitive system with impulse and time delay. A set of sufficient conditions for this system to have positive periodic solutions are established. When the birth rate and the invest rate of the nonautonomous n-species are enough large or the competition rate within species is enough small, the system will bring periodic oscillation phenomenon of biological nature.关键词
Lotka.Voherra竞争系统/脉冲/正周期解Key words
Lotka-Volterra competitive system/impulse/positive periodic solution分类
数学引用本文复制引用
程荣福..具有脉冲的非自治多种群Lotka—Volterra竞争系统的周期性[J].北华大学学报:自然科学版,2012,13(1):1-8,8.基金项目
吉林省教育厅科学技术研究项目 ()