Mean-square almost periodic solution for impulsive stochastic Nicholson's blowflies model with delays

被引:14
作者
Zhou, Hui [1 ]
Zhou, Zongfu [2 ]
Qiao, Zongmin [1 ]
机构
[1] Hefei Normal Univ, Dept Math, Hefei 230601, Anhui, Peoples R China
[2] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Nicholson's blowflies model; Mean-square almost periodic solution; Impulsive stochastic; ASYMPTOTIC STABILITY; COMPETITIVE-SYSTEMS;
D O I
10.1016/j.amc.2012.12.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a class of impulsive stochastic Nicholson's blowflies model is investigated by applying Cauchy matrix. Under proper conditions, the existence and exponential stability of square-mean almost periodic solutions for the model with multiple nonlinear harvesting terms and delays. Moreover, an example is provided to illustrate the effectiveness of the results. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:5943 / 5948
页数:6
相关论文
共 18 条
[1]   Asymptotic stability of competitive systems with delays and impulsive perturbations [J].
Ahmad, Shair ;
Stamova, Ivanka M. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :686-700
[2]   Asymptotic stability of an N-dimensional impulsive competitive system [J].
Ahmad, Shair ;
Stamova, Ivanka M. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (02) :654-663
[3]   On almost periodic processes in impulsive competitive systems with delay and impulsive perturbations [J].
Ahmad, Shair ;
Stamov, Gani Tr .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) :2857-2863
[4]   Almost periodic solutions of N-dimensional impulsive competitive systems [J].
Ahmad, Shair ;
Stamov, Gani Tr. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) :1846-1853
[5]   Almost periodic solutions for an impulsive delay Nicholson's blowflies model [J].
Alzabut, Jehad O. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (01) :233-239
[6]   Nicholson's blowflies differential equations revisited: Main results and open problems [J].
Berezansky, L. ;
Braverman, E. ;
Idels, L. .
APPLIED MATHEMATICAL MODELLING, 2010, 34 (06) :1405-1417
[7]  
Bezandrt P., 2007, APPL ANAL, V117, P1
[8]   Positive almost periodic solution for a class of Nicholson's blowflies model with multiple time-varying delays [J].
Chen, Wei ;
Liu, Bingwen .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) :2090-2097
[9]   SQUARE-MEAN ALMOST AUTOMORPHIC SOLUTIONS FOR SOME STOCHASTIC DIFFERENTIAL EQUATIONS [J].
Fu, Miaomiao ;
Liu, Zhenxin .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (10) :3689-3701
[10]   Almost periodic solution of an impulsive differential equation model of plankton allelopathy [J].
He, Mengxin ;
Chen, Fengde ;
Li, Zhong .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2296-2301