"Bifurcation and invariant manifolds of the Ricker competition model" by Saber Elaydi

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Article

Bifurcation and invariant manifolds of the Ricker competition model

journal of biological dynamics (2011)

Saber Elaydi, Trinity University

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Abstract

We study the stability and bifurcation of all equilibrium points, including extinction, exclusion, and coexistence points. Stable , unsgtable are computed. Moreover, for the nonhyperbolic cases, we computed the center manifolds and determine their stability or lack of it thereof.

Disciplines

Dynamic Systems,
Non-linear Dynamics and
Other Applied Mathematics

Publication Date

2011

Citation Information

Saber Elaydi. "Bifurcation and invariant manifolds of the Ricker competition model" journal of biological dynamics Vol. 6 (2011)
Available at: http://works.bepress.com/saber_elaydi/28/