|Table of Contents|

Delayed economic harvesting model for population with Smith growth

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2015年03期
Page:
363-
Research Field:
Publishing date:

Info

Title:
Delayed economic harvesting model for population with Smith growth
Author(s):
Yu Meihua
Department of Basic Courses,Southeast University Chengxian College,Nanjing 210088,China
Keywords:
time delay Smith growth economic harvesting delay differential equation equilibriums harvesting effort
PACS:
O175.12
DOI:
-
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.

References:

[1] 俞美华.具有Smith增长种群的经济捕获模型[J].高师理科学刊,2009,29(4):24-27.
Yu Meihua.Economic harvesting model for population with Smith growth[J].Journal of Science of Teachers'College and University,2009,29(4):24-27.
[2]张玉娟,沈伯骞.一类生物种群经济捕获模型[J].生物数学学报,2000,15(4):443-451.
Zhang Yujuan,Shen Baiqian.The economic catching model of a type of population[J].Journal of Biomathematics,2000,15(4):443-451.
[3]Wang Yujie,Wei Junjie.Global dynamics of a cholera model with time delay[J].International Journal of Biomathematics,2013,6(1):1-18.
[4]曾夏萍,高建国.一类具有时滞和自食现象的捕食者——食饵征税模型[J].生物数学学报,2014,29(1):54-68.
Zeng Xiaping,Gao Jianguo.The taxation predator-prey model with a time delay and cannibalism[J].Journal of Biomathematics,2014,29(1):54-68.
[5]李长国,裴永珍,夏爱生.具有脉冲效应的时滞捕食系统的正周期解[J].生物数学学报,2013,28(4):605-611.
Li Changguo,Pei Yongzhen,Xia Aisheng.Periodic solution of delay predator-prey system with impulsive effects[J].Journal of Biomathematics,2013,28(4):605-611.
[6]魏凤英,雷慧榕.一类带有比率型功能反应和选择性收获的时滞捕食系统的稳定性[J].生物数学学报,2013,28(1):34-40.
Wei Fengying,Lei Huirong.Stability for a kind of delayed predator-prey systems with ratio dependent functional response and selective harvesting[J].Journal of Biomathematics,2013,28(1):34-40.
[7]张锦炎,冯贝叶.常微分方程几何理论与分支问题[M].北京:北京大学出版社,2000.
[8]马知恩.种群生态学的数学建模与研究[M].合肥:安徽教育出版社,1996.

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Last Update: 2015-06-30