Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay
A kind of discrete system according to Nicholson's blowflies equation with a finite delay is obtained by the Euler forward method, and the dynamics of this discrete system are investigated. Applying the theory of normal form and center manifold, we not only discuss the linear stability of the e...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/19413 |
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| _version_ | 1832564612427415552 |
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| author | Xiaohua Ding Wenxue Li |
| author_facet | Xiaohua Ding Wenxue Li |
| author_sort | Xiaohua Ding |
| collection | DOAJ |
| description | A kind of discrete system according to Nicholson's blowflies
equation with a finite delay is obtained by the Euler forward
method, and the dynamics of this discrete system are investigated.
Applying the theory of normal form and center manifold, we not
only discuss the linear stability of the equilibrium and the
existence of the local Hopf bifurcations, but also give the
explicit algorithm for determining the direction of bifurcation
and stability of the periodic solution of bifurcation. |
| format | Article |
| id | doaj-art-68e48cdf790349cc8f08424b8d08d8ad |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-68e48cdf790349cc8f08424b8d08d8ad2025-02-03T01:10:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/1941319413Stability and bifurcation of numerical discretization Nicholson blowflies equation with delayXiaohua Ding0Wenxue Li1Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaA kind of discrete system according to Nicholson's blowflies equation with a finite delay is obtained by the Euler forward method, and the dynamics of this discrete system are investigated. Applying the theory of normal form and center manifold, we not only discuss the linear stability of the equilibrium and the existence of the local Hopf bifurcations, but also give the explicit algorithm for determining the direction of bifurcation and stability of the periodic solution of bifurcation.http://dx.doi.org/10.1155/DDNS/2006/19413 |
| spellingShingle | Xiaohua Ding Wenxue Li Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay Discrete Dynamics in Nature and Society |
| title | Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay |
| title_full | Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay |
| title_fullStr | Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay |
| title_full_unstemmed | Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay |
| title_short | Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay |
| title_sort | stability and bifurcation of numerical discretization nicholson blowflies equation with delay |
| url | http://dx.doi.org/10.1155/DDNS/2006/19413 |
| work_keys_str_mv | AT xiaohuading stabilityandbifurcationofnumericaldiscretizationnicholsonblowfliesequationwithdelay AT wenxueli stabilityandbifurcationofnumericaldiscretizationnicholsonblowfliesequationwithdelay |