A note on the global attractivity of a discrete model of nicholson's blowflies

In this paper, we further study the global attractivity of the positive equilibrium of the discrete Nicholson's blowflies model Nn+1−Nn=−δNn+pNn−ke−aNn−k,        n=0,1,2,…. We obtain a new criterion for the positive equilibrium N∗ to be a global attractor, which improve the corresponding resu...

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Main Authors: B. G. Zhang, H. X. Xu
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022699000072
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author B. G. Zhang
H. X. Xu
author_facet B. G. Zhang
H. X. Xu
author_sort B. G. Zhang
collection DOAJ
description In this paper, we further study the global attractivity of the positive equilibrium of the discrete Nicholson's blowflies model Nn+1−Nn=−δNn+pNn−ke−aNn−k,        n=0,1,2,…. We obtain a new criterion for the positive equilibrium N∗ to be a global attractor, which improve the corresponding results obtained by So and Yu (J. Math. Anal. Appl. 193 (1995), 233–244).
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institution Kabale University
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language English
publishDate 1999-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-42bf50b50ada4f0eb93bfcba796e49932025-02-03T07:25:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1999-01-0131515510.1155/S1026022699000072A note on the global attractivity of a discrete model of nicholson's blowfliesB. G. Zhang0H. X. Xu1Department of Applied Mathematics, Ocean University of Qingdao, Qingdao 266003, ChinaDepartment of Applied Mathematics, Ocean University of Qingdao, Qingdao 266003, ChinaIn this paper, we further study the global attractivity of the positive equilibrium of the discrete Nicholson's blowflies model Nn+1−Nn=−δNn+pNn−ke−aNn−k,        n=0,1,2,…. We obtain a new criterion for the positive equilibrium N∗ to be a global attractor, which improve the corresponding results obtained by So and Yu (J. Math. Anal. Appl. 193 (1995), 233–244).http://dx.doi.org/10.1155/S1026022699000072AttractivityPositive equilibriumDiscrete Nicholson's blowflies model.
spellingShingle B. G. Zhang
H. X. Xu
A note on the global attractivity of a discrete model of nicholson's blowflies
Discrete Dynamics in Nature and Society
Attractivity
Positive equilibrium
Discrete Nicholson's blowflies model.
title A note on the global attractivity of a discrete model of nicholson's blowflies
title_full A note on the global attractivity of a discrete model of nicholson's blowflies
title_fullStr A note on the global attractivity of a discrete model of nicholson's blowflies
title_full_unstemmed A note on the global attractivity of a discrete model of nicholson's blowflies
title_short A note on the global attractivity of a discrete model of nicholson's blowflies
title_sort note on the global attractivity of a discrete model of nicholson s blowflies
topic Attractivity
Positive equilibrium
Discrete Nicholson's blowflies model.
url http://dx.doi.org/10.1155/S1026022699000072
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