Azizi, Tahmineh and Alali, Bacim (2020) Chaos Induced by Snap-Back Repeller in a Two Species Competitive Model. American Journal of Computational Mathematics, 10 (02). pp. 311-328. ISSN 2161-1203
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Abstract
In this paper, we investigate the complex dynamics of two-species Ricker-type discrete-time competitive model. We perform a local stability analysis for the fixed points and we will discuss about its persistence for boundary fixed points. This system inherits the dynamics of one-dimensional Ricker model such as cascade of period-doubling bifurcation, periodic windows and chaos. We explore the existence of chaos for the equilibrium points for a specific case of this system using Marotto theorem and proving the existence of snap-back repeller. We use several dynamical systems tools to demonstrate the qualitative behaviors of the system.
Item Type: | Article |
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Subjects: | Open Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@openlibrarypress.com |
Date Deposited: | 15 Jun 2023 07:29 |
Last Modified: | 15 Jun 2023 07:29 |
URI: | https://openlibrarypress.com/id/eprint/1638 |