文档介绍：第30卷第4期
辽宁石油化工大学学报
Vo l. 30
No . 4
2010 年 12 月 JO U RN A L O F L IA O NING SH IH U A U N IV ER SIT Y Dec. 2010
文章编号: 1672- 6952( 2010) 04- 0085- 03
一类具有收获的时滞单种群模型的稳定性
滕
勇, 李石涛
( 沈阳工业大学辽阳校区, 辽宁辽阳 111000)
摘
要:
在生态系统中, 种群的稳定性一直是研究的重点内容之一, 考虑了一类具有收获的离散单种群模型,
利用分枝定界法给出了平衡点局部稳定的充分条件, 通过数值模拟的方法给出种群数量随时间变化的频幅图, 得到
适当的控制收获能力可以使种群模型达到稳定状态。
关键词:
时滞;
单种群;
局部稳定;
收获
中图分类号: O 175. 2
文献标识码: A
do i: 10. 3696/ j. issn. 1672- 6952. 2010. 04. 023
Stability of Population M odel With Delay for
a Single- Species With H arvest ing
T EN G Yong , LI Shi- tao
(L iaoy ang Camp us, Sheny ang University of T echnology , L iaoy ang L iaoning 111000, P. R. China)
Received 7 J uly 2010; revised 25 Sep tember 2010; accep ted 7 October 2010
Abstract:
One of the most interesting to pics in eco lo gy systems is the stability o f species. T he delay populatio n model fo r a
sing le- species w ith harv est ing was considered. L ocal stability w as given by demark ramificatio n. T he curve of population
which chang es by time was g iven by numerical simulation, and adequate control o f harv esting capacit y causes the single -
species in st abilit y states.
Key words:
Delay; Single- species; L ocal stabilit y; H arvesting
Co rresponding author. T el. : + 86- 419- 5319263; fax: + 86- 419- 5311989; e- mail: tengy ong9263@ 126. com
自然界中存在着各种各样的生物资源, 但