Almost periodic dynamics of a discrete Nicholson's blowflies model involving a linear harvesting term

被引：25

作者：

Alzabut, Jehad ^{[1
]}

Bolat, Yasar ^{[2
]}

Abdeljawad, Thabet ^{[3
]}

机构：

[1] Prince Sultan Univ, Dept Math & Phys Sci, Riyadh 11586, Saudi Arabia

[2] Kastamonu Univ, Fac Sci & Literatures, Dept Math, TR-37110 Kastamonu, Turkey

[3] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

almost periodic solution; exponential stability; Nicholson's blowflies model; harvesting term; GLOBAL ATTRACTIVITY; OSCILLATION; EXISTENCE;

D O I：

10.1186/1687-1847-2012-158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a discrete Nicholson's blowflies model involving a linear harvesting term. Under appropriate assumptions, sufficient conditions are established for the existence and exponential convergence of positive almost periodic solutions of this model. To expose the effectiveness of the main theorems, we support our result by a numerical example.

引用

页数：13

共 27 条

[1] 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

[2]

[Anonymous], 1990, APPL ANAL, DOI DOI 10.1080/00036819008839952

[3] Delay differential logistic equations with harvesting [J].

Berezansky, L ;

Braverman, E ;

Idels, L .

MATHEMATICAL AND COMPUTER MODELLING, 2004, 39 (11-12) :1243-1259

[4] 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

[5]

Goh B., 2012, Management and analysis of biological populations

[6] NICHOLSON BLOWFLIES REVISITED [J].

GURNEY, WSC ;

BLYTHE, SP ;

NISBET, RM .

NATURE, 1980, 287 (5777) :17-21

[7] GLOBAL ATTRACTIVITY IN POPULATION-DYNAMICS [J].

KULENOVIC, MRS ;

LADAS, G ;

SFICAS, YG .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1989, 18 (10-11) :925-928

[8] Existence of positive periodic solutions for a generalized Nicholson's blowflies model [J].

Li, Jingwen ;

Du, Chaoxiong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 221 (01) :226-233

[9] Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model [J].

Li, Wan-Tong ;

Fan, Yong-Hong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 201 (01) :55-68

[10] Almost Periodic Functions on Time Scales and Applications [J].

Li, Yongkun ;

Wang, Chao .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011

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