Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay (Q871373)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay |
scientific article; zbMATH DE number 5134607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay |
scientific article; zbMATH DE number 5134607 |
Statements
Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay (English)
0 references
19 March 2007
0 references
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 forms and center manifolds, we not only discuss the linear stability of the equilibrium and the existence of the local Hopf bifurcations, but also give an explicit algorithm for determining the direction of bifurcation and stability of the periodic solutions of bifurcations.
0 references
