摘要
利用脉冲微分方程理论,研究污染环境下具瞬时与非瞬时脉冲收获的单种群动力学模型,给出系统种群持续生存的充分条件.结果表明,瞬时脉冲收获量与非瞬时脉冲收获区间长度对系统种群持久有重要作用.
Using the theories of impulsive differential equations,we investigated the dynamics of a single population model with transient and non-transient impulsive harvesting in polluted environment,and gave the sufficient conditions for the permanence of the population.The results show that the amount of transient impulsive harvesting and the non-transient impulsive harvesting interval length play important roles in the permanence of the population.
作者
焦建军
陈兰荪
李利梅
JIAO Jianjun;CHEN Lansun;LI Limei(School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China;Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China;School of Continuing Education, Guizhou University of Finance and Economics, Guiyang 550004, China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第5期1088-1094,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11761019
11361014)
贵州省高层次创新型人才项目(批准号:20164035)
贵州省微分-差分动力系统应用科技创新人才团队项目(批准号:20175658)
贵州财经大学商务部联合项目基金(批准号:2016SWBZD18)
贵州省教育厅创新群体重大科研项目(批准号:黔教合KY字[2018]019)
关键词
污染环境
瞬时脉冲收获
非瞬时脉冲收获
区间长度
灭绝
持久
polluted environment
transient impulsive harvesting
non-transient impulsive harvesting
interval length
extinction
permanence
