具有中立时滞和变差元的两种群竞争动力系统周期解的存在性

摘要

A neutral delay competitive two-species Lotka-Volterra competition dynamics systems are investigated in periodic environment. By using the method of an abstract continuous theorem of k-set contractive operator and some analysis technique. Sufficient conditions are derived for the existence of at least one strictly positive periodic solution of periodic two-species Lotka-Volterra competition dynamics systems with neutral delay and several deviating arguments.%本文研究了周期环境下中立时滞两种群Lotka-Volterra竞争动力系统.利用k-集压缩算子抽象连续理论和某些分析技术,导出了此具有中立时滞和变差元的周期两种群Lotka-Volterra竞争动力系统至少存在一个严格正的周期解的充分条件.