Document Type

Post-Print

Publication Date

12-2011

Abstract

In this paper we study a new logistic competition model. We will investigate stability and bifurcation of the model. In particular, we compute the invariant manifolds, including the important center manifolds, and study their bifurcation. Saddle-node and period doubling bifurcation route to chaos is exhibited via numerical simulations.

Document Object Identifier (DOI)

10.1080/10236198.2010.504377

Publication Information

Journal of Difference Equations and Applications

Included in

Mathematics Commons

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