摘要
研究污染环境下具有时滞增长反应和脉冲输入的单种群动力学模型,利用脉冲微分系统讨论营养基和毒素的脉冲输入对单种群物种生长的影响,证明微生物在吸收毒素的情况下灭绝的周期解是全局吸引的,并获得系统持久的条件.研究结果为控制环境中毒素对种群生长的影响提供了理论依据.
In this paper, a single population dynamic model with deplayed response in growth and pulse input in polluted environment is considered. Using impulsive differential system, we study the effect of pulse input of nutrient and toxicant on a the growth of single species. A microorganism-extinction periodic solution is obtained and furthermore it is globally attractive. The permanent condition of the system is obtained by the theory on impulsive differential equation. Our results provide theory basis for the control of toxicant influence on population growth.
作者
侯英
焦建军
HOU Ying JIAO Jian-jun(School of Mathematics and Statistics, Guizhou University of Finance & Economics, Guiyang 550025, Chin)
出处
《数学的实践与认识》
北大核心
2017年第19期119-127,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金(11361014)
关键词
脉冲输入
时滞增长反应
单种群模型
持久性
impulsive input
delayed growth response
single population model
permanence