|Table of Contents|

Advances in State-Dependent Differential Equation With Impulsive(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年03期
Page:
31-33
Research Field:
数学
Publishing date:

Info

Title:
Advances in State-Dependent Differential Equation With Impulsive
Author(s):
Tan Yuanshun12Tao Fengmei13Chen 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
Keywords:
sta te-dependen t im pu lsive d ifferentia l equation advances
PACS:
O175
DOI:
-
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

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.

Memo

Memo:
-
Last Update: 2013-05-05