[1]谭远顺,等.状态脉冲微分方程研究进展[J].南京师大学报(自然科学版),2007,30(03):31-33.
　Tan Yuanshun,Tao Fengmei,Chen Lanshun.Advances in State-Dependent Differential Equation With Impulsive[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(03):31-33.
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状态脉冲微分方程研究进展()
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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03期
页码:
31-33
栏目:
数学
出版日期:
2007-09-30

文章信息/Info

Title:
Advances in State-Dependent Differential Equation With Impulsive
作者:
谭远顺1;  2;  陶凤梅1;  3;  陈兰荪1
( 1. 大连理工大学应用数学系, 辽宁大连110024)
( 2. 重庆交通大学理学院, 重庆400074)
( 3. 鞍山师范学院数学系, 辽宁鞍山114005)
Author(s):
Tan Yuanshun1; 2; Tao Fengmei1; 3; Chen Lanshun1
1.Department of Applied Mathematics,Dalian University of Technology,Dalian116024,China
2. D epartm ent ofM ath em at ics and Physics, Chongq ing J iaotong U nivers ity, Chongqing 400074, Ch ina
 3. Departm en t ofM athem atics, Anshan Norma lCo llege, Anshan 116024, Ch in a
关键词:
状态脉冲;  微分方程;  进展
Keywords:
sta te-dependen t;  im pu lsive;  d ifferentia l equation;  advances
分类号:
O175
摘要:
简要介绍了近年来国内外状态脉冲微分方程的最新研究结果及其常用的研究方法和数据处理工具,以及在生态方面的应用.相似的研究方法适用于更一般的非线性生态模型.
Abstract:
A brief introduction about advances o f sta te-dependen t d ifferen tia l equation w ith im pu ls ive is prov ided as w e ll as its m ethods and too ls sim ulating the com plex phenomena o f the eco-m ode ls. It a lso app lies tom ore nonlinear eco-system s

参考文献/References:

[ 1]  Ba inov D, Sim eonov P. Im pulsive D ifferentia l Equations: Pe riod ic solution and App lications[M ]. New York: JohnW iley and Sons Inc, 1993.
[ 2]  Lakshm ikantham P, Ba inov D, S imeonov P. Theo ry of Impulsive D ifferentia l Equa tion[M ]. New Yo rk: JohnW iley and Sons Inc, 1989.
[ 3]  陈兰荪. 非线性微分方程的数学建模与研究[M ]. 北京: 科学技术出版社, 2004.
[ 4]  Sany iTang, Lansun Chen. M ode lling and ana lys is of integ rated pest managem ent stra tegy[ J]. D iscrete and Continuous Dynamical System s: Series B, 2004, 4: 759-768.
[ 5]  Sany i Tang, Yann iX iao, Lansun Chen, et a.l Integrated pest m anag em ent models and their dynam ical behav iour[ J]. Bulletin ofM a them atical B io logy, 2005, 67: 115-135.
[ 6]  Sany i Tang, Robe rtA Cheke. S tate-dependent impu lsivem ode ls of integrated pestm anagem ent( IPM ) strateg ies and their dynam ic consequences[ J]. Journa l o f
M athem atica l B io logy, 2005, 50: 257-292.
[ 7]  Guangzhao Zeng, Lansun Chen, Lihua Sun. Ex istence o f periodic so lution o f order one o f plannar impulsive autonomous sys tem [ J]. Journa l o f Compu tational and AppliedM athem atics, 2006, 186: 466-481.
[ 8]  曾广钊, 陈兰荪. 脉冲与时变生态模型的解的周期性及渐近性[ D] . 大连: 大连理工大学数学系, 2005.
[ 9]  Gu irong Jiang, Q ishao Lu, L inn ing Q ian. Com plex dynam ics of a ho lling type II prey-predator system w ith state feedback contro l[ J] . Chaos, So litons and Fracta ls, 2007, 31: 448- 461.
[ 10]  Guirong Jiang, Q ishao Lu. Impu lsive state feedback contro l o f a prey-predatorm ode l[ J]. Journa l o fCom putationa l and AppliedM athem atics, 2007, 200: 193- 207.
[ 11]  Gu irong Jiang, Q ishao Lu, Linping Peng. Impulsiv e eco log ical contro l o f stage-structured pest m anagem ent system [ J]. Mathem atical B iosc iences and Eng ineering, 2005, 2: 329-344.
[ 12]  Guirong Jiang, Q ishao Lu, Linn ing Q ian. Chao s and its contro l in an im pu ls ive d iffe rentia l system [ J]. Chaos, Solitons and Fracta ls: 10. 1016 / j chaos, 2005, 9: 77.
[ 13]  Va ibhav Donde, Ian A H iskens. Shoo ting m ethods fo r Locating grazing phenom ena in hybrid system s[ J]. Inte rnational Journa l o f B ifurcation and Chaos, 2006, 16( 3) : 671-692.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10671001)、重庆交通大学博士启动基金资助项目.
作者简介: 谭远顺( 1974- ) , 博士, 副教授, 主要从事微分方程定性理论和生物数学的研究. E-m ail:ltanys@ cquc. edu. cn
更新日期/Last Update: 2013-05-05