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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Wiley
1999-01-01
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Series: | Discrete Dynamics in Nature and Society |
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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). |
format | Article |
id | doaj-art-42bf50b50ada4f0eb93bfcba796e4993 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 1999-01-01 |
publisher | Wiley |
record_format | Article |
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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