摘要
研究了一类具有收获率的非自治n种群Lotka—Volterra竞争系统,利用重合度理论中的延拓定理,得到了保证系统周期正解存在的充分条件,揭示了非自治n种群Lotka—Voherra竞争系统在内禀增长率足够大且竞争率和收获率足够小时,将产生生物性周期振荡现象。
A class Lotka-Voherra competition system with harvesting rate of n nonautonomous population was studied. By using the continuation theorem of the coincidence degree theory, a sufficient condition of positive periodic solutions existence of guarantee system was obtained. We reveal a Lotka-Voherra competition system of n nonautonomous population, and it will produce the biological periodic oscillation when the intrinsic growth rate is sufficiently large and competitive rates and yields are sufficiently small.
出处
《北华大学学报(自然科学版)》
CAS
2012年第1期9-12,共4页
Journal of Beihua University(Natural Science)
基金
吉林省教育厅科学技术研究项目(2008-136)