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Erschienen in:
Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

A New Fractional-Order Predator-Prey System with Allee Effect

verfasst von : Afef Ben Saad, Olfa Boubaker

Erschienen in: Fractional Order Control and Synchronization of Chaotic Systems

Verlag: Springer International Publishing

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Abstract

In this chapter, a new Fractional-order (FO) predator-prey system with Allee Effect is proposed and its dynamical analysis is investigated. The two case studies of weak and strong Allee Effects are considered to bring out the consequence of such extra factors on the FO system’s dynamics. Not only it will be proven, via analytic and numerical results, that the system’s stability is governed by the type of the Allee Effect but also it will be shown that such extra factor is a destabilizing force. Finally, simulation results reveal that rich dynamic behaviors of the (FO) predator-prey model are exhibited and dependent on the order value of the FO system.

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Vorheriges Kapitel Chaotic System Modelling Using a Neural Network with Optimized Structure
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Metadaten
Titel
A New Fractional-Order Predator-Prey System with Allee Effect
verfasst von
Afef Ben Saad
Olfa Boubaker
Copyright-Jahr
2017
Buch
Fractional Order Control and Synchronization of Chaotic Systems

Print ISBN: 978-3-319-50248-9

Electronic ISBN: 978-3-319-50249-6

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-50249-6_30