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

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Fractional Order Control and Synchronization of Chaotic Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 688))

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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Author information

Authors and Affiliations

  1. National Institute of Applied Sciences Technology, Centre Urbain Nord BP. 676, 1080, Tunis Cedex, Tunisia

    Afef Ben Saad & Olfa Boubaker

Authors
  1. Afef Ben Saad
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  2. Olfa Boubaker
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Corresponding author

Correspondence to Afef Ben Saad .

Editor information

Editors and Affiliations

  1. Faculty of Computers and Information, Benha University Faculty of Computers and Information, AND Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt. , Benha, Egypt

    Ahmad Taher Azar

  2. Research and Development Centre, Vel Tech University Research and Development Centre, Chennai, Tamil Nadu, India

    Sundarapandian Vaidyanathan

  3. Department of Mathematics and CS, University of Tebessa Department of Mathematics and CS, Tebessa, Algeria

    Adel Ouannas

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Ben Saad, A., Boubaker, O. (2017). A New Fractional-Order Predator-Prey System with Allee Effect. In: Azar, A., Vaidyanathan, S., Ouannas, A. (eds) Fractional Order Control and Synchronization of Chaotic Systems. Studies in Computational Intelligence, vol 688. Springer, Cham. https://doi.org/10.1007/978-3-319-50249-6_30

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

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50248-9

  • Online ISBN: 978-3-319-50249-6

  • eBook Packages: EngineeringEngineering (R0)

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