[1]庞国萍,等.具有脉冲效应和Holling IV功能性反应的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(02):1-5.
　Pang Guoping,Chen Lansun.Analysis of a Holling IV One-Predator Two-Prey System With Impulsive Effect[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(02):1-5.
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具有脉冲效应和Holling IV功能性反应的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02期
页码:
1-5
栏目:
数学
出版日期:
2007-06-30

文章信息/Info

Title:
Analysis of a Holling IV One-Predator Two-Prey System With Impulsive Effect
作者:
庞国萍1;  2;  陈兰荪2;  3
( 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)
( 3. 福建师范大学闽南科技学院, 福建南安362332)
Author(s):
Pang Guoping1; 2; Chen Lansun2; 3
( 1. Department of Mathem atics and Com puter S cien ces, Yu lin Norm alUn iversity, Yu lin 537000, Ch ina)
( 2. Department of AppliedM athem atics, DalianUn ivers ity of Techn ology, Dal ian 116024, Ch in a)
( 3. M innan Science and Technology Inst itute, Fu jian NormalU n ivers ity, N an’an 362332, Ch in a)
关键词:
捕食者-食饵系统;  Holling type IV;  脉冲效应;  灭绝;  持续生存
Keywords:
predator-prey system;  H oll ing typ e IV;  im pu ls ive effect;  extin ct ion;  p erm anen ce
分类号:
O175.12;O193
摘要:
构建和分析了在固定时刻脉冲投放捕食者且具有Holling IV功能性反应的一个捕食者两个食饵系统,利用脉冲比较定理和微分方程的分析方法,得到了平凡周期解稳定和系统持续生存的条件.
Abstract:
A H olling type IV Lotka-Vo lterra one-predator two-prey system w ith im pu ls ive effect on p redator at fixedmo m en ts is investigated. Cond it ion s for the s tab il ity of the trivial peridic solut ion and the perm an ence of th e system are es tabl ished via com parison theorem of im puls ive d ifferent ial equation and analyt ic m ethod s of d ifferent ial equation th eory

参考文献/References:

[ 1]  Cush ing JM. Two spec ies com pe tition in a periodic env ironm ent [ J] . JM ath B io ,l 1980, 10: 348-400.
[ 2]  G rasm an J, Van H erw aarden O A, H em er ik L, et al. A t w o-com ponent model of hostparasito id interactions: determ ination o f the size of inundative releases of paras ito ids in b io log ica l pest contro l [ J]. M a th B iosc ,i 2001, 169: 207-216.
[ 3]  Zhang S, Dong L, Chen L. The study of predator-prey 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]  L iu X, Chen L. Com plex dynam ics ofH o lling type IILotka-Vo lterra preda to r-prey system w ith im pulsive perturbations on the predato r [ J]. Chaos, So litons& Fractals, 2003, 16: 311-320.
[ 5]  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.
[ 6]  M a rk Ko r, Say lerG S, W a ltm an T W. Com plex dynam ics in am odelm icrob ia l system [ J]. Bu llM ath B io,l 1992, 54: 619-648.
[ 7]  Laksm ikantham V, Ba inov D D, Sim eonov P S. Theory o f ImpulsiveD ifferentia l Equations [M ] . S ingapore: W or ld Sc ientific, 1989.

备注/Memo

备注/Memo:
Foundation item: Supported by theN at ion alN aturalS cience Found at ion ofEducat ion alD epartment of Chin a ( 10471117, 10526015) and S cien tific R esearch Foundat ion of Guangx iProvin ce ( 2006243) .
Biography: Pang Guoping, born in 1968, fem ale, associate professor, doctora,l m ajored in b iom athem at ics. E-ma il:g. p. pang@ 163. com
Corresponding author: Chen Lansun, born in 1938, professor, m ajored in b iomathem atics. E-m ail:lschen@ am ss. ac. cn
更新日期/Last Update: 2013-05-05