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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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |