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.
Bifurcation and Invariant Manifolds of the Logistic Competition ModelJournal of Difference Equations and Applications
Document Object Identifier (DOI)10.1080/10236198.2010.504377
Citation InformationGuzowska, M., Luís, R., & Elyadi, S. (2011). Bifurcation and invariant manifolds of the logistic competition model. Journal of Difference Equations and Applications, 17, 1851-1872. doi: 10.1080/10236198.2010.504377