Bifurcation and invariant manifolds of the logistic competition model |
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| Authors: | Malgorzata Guzowska Saber Elaydi |
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| Institution: | 1. Department of Econometrics and Statistics , University of Szczecin , Szczecin, Poland;2. Department of Mathematics , Trinity University , San Antonio, TX, USA |
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| 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 centre manifolds, and study their bifurcation. Saddle-node and period-doubling bifurcation route to chaos are exhibited via numerical simulations. |
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| Keywords: | stability bifurcation competition model centre manifolds unstable and stable manifolds |
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