南京理工大学学报（自然科学版）Issue(3)：363-367,5.DOI:10.14177/j.cnki.32-1397n.2015.39.03.019
具有Smith增长种群的时滞经济捕获模型
Delayed economic harvesting model for population with Smith growth
俞美华1
作者信息
- 1. 东南大学成贤学院 基础部，江苏 南京210088
- 折叠
摘要
Abstract
To reflect the rule of population growth really, a delayed economic harvesting model for population with Smith growth is established. The stability of equilibriums is studied by the theory of delay differential equation. The stability switch of positive equilibriums with time delay is analyzed. The results show that the stability of equilibriums is influenced by time delay greatly;when the time delay increases,stable equilibriums may become instable,and positive equilibriums may switch;when the time delay is large enough, stable positive equilibriums become instable finally;the harvesting effort and the scale of the population reach a stable equilibrium state when the harvesting effort is controlled according to the time delay.关键词
时滞/Smith增长/经济捕获/时滞微分方程/系统平衡点/捕获努力量Key words
time delay/Smith growth/economic harvesting/delay differential equation/equilibriums/harvesting effort分类
数理科学引用本文复制引用
俞美华..具有Smith增长种群的时滞经济捕获模型[J].南京理工大学学报（自然科学版）,2015,(3):363-367,5.
