[1]庞国萍.一个具有收获和生育脉冲效应的Holling-Tanner捕食者——食饵系统分析(英文)[J].南京师大学报(自然科学版),2007,30(04):10-16.
　Pang Guoping,Zhao Qiang.Analysis of a Holling-Tanner Predator-Prey System With Birth Pulse and Harvesting Effect[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(04):10-16.
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一个具有收获和生育脉冲效应的Holling-Tanner捕食者——食饵系统分析(英文)()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年04期
页码:
10-16
栏目:
数学
出版日期:
2007-12-30

文章信息/Info

Title:
Analysis of a Holling-Tanner Predator-Prey System With Birth Pulse and Harvesting Effect
作者:
庞国萍1;  2;  赵  强1
( 1. 玉林师范学院数学与计算机科学系, 广西玉林537000 )
( 2. 大连理工大学应用数学系, 辽宁大连116024)
Author(s):
Pang Guoping1; 2; Zhao Qiang1
1.Department of Mathematics and Computer Science,Yulin Normal University,Yulin 537000,China
关键词:
Holling-Tanner捕食者——食饵系统;  生育脉冲;  灭绝;  持续生存;  最大收获努力量
Keywords:
H olling-Tanner p redator-p rey sys tem;  b irth pulse;  ext inction;  p erm anen ce;  them ax imum harvest ing effort
分类号:
O175;Q141
摘要:
研究了一个具有收获和生育脉冲效应的Holling-Tanner捕食者——食饵系统的持久性和收获策略.首先,利用频闪映射,得到了带有Ricker和Beverton-Holt函数的脉冲系统准确的周期解.进而,通过Floquet定理,证明了边界周期解总是不稳定的,利用脉冲比较定理,得到了系统持续生存的条件.最后,得到了系统的最大收获努力量.
Abstract:
The perm an ence and harvest ing policy of aH o lling-T anner p redator-p rey m odelw ith b irth pu lse and harves ting effect is invest igated. F irst, by the stroboscop ic m ap, w e obtain an exact period ic so lut ion of th e system w h ich has R icker fun ct ion or B everton-H olt funct ion. Furth er, by the Floquet theorem, w e prove the boundary periodic solu tion is alw ays unstab le. And by th e com parison theorem of im puls ive differen tia l equation, w e ob tain the cond ition for perm a nen ce of th e system. At last, w e gain the m axim um harvest ing effort for th e system.

参考文献/References:

[ 1] H ui J, Chen L. Dynam ic com plex ities in ratio-dependent predator prey eco system m ode lsw ith birth pulse and pestic ide pu lse
[ J] . Internationa l Journal of B ifurcation and Chao s, 2004, 14: 2 893-2 903.
[ 2] W ang F, Zhang S, Chen L, et a .l Perm anence and comp lex ity of a three species food cha in w ith im pu lsive effect on the top predato r [ J]. Int J Non linear Sc iNum er Sim u,l 2005, 6: 169-180.
[ 3] Zhang S, Dong L, Chen L. The study of predato r-rey system w ith de fensive ab ility o f prey and im pu lsive perturbations on the predator[ J]. Chao s, So litons & Fracta ls, 2005, 23: 631-643.
[ 4] Gao S, Chen L. Dynam ic com plex ities in a sing le spec ies d iscrete population m ode lw ith stag e struc ture and birth pu lses[ J].Chaos, So litons& Fracta ls, 2005, 23: 519-527.
[ 5] Ba inov D D, S im eonov P S. System W ith Im pu ls ive E ffect: Stability Theory and Applications[M ]. New York: JohnW iley&
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备注/Memo

备注/Memo:
Foundation item: Supported by th e NNSF ( 10471117 ) , the NSF of Gu angxi Province ( 0728249) and th e SRF of Guangx i Educat ion O ffice ( 200607LX138) .
Biography: Pang Guop ing, born in 1968, fem ale, doctora,l associate professor, m ajored in b iom athem at ics. E-ma il: g. p. pang@ 163. com
更新日期/Last Update: 2013-05-05