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Seasonal influences on a prey–predator model

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Abstract

In this paper we study a prey–predator system in a variable environment. We show that seasonal variation of water level has a strong impact on persistence or extinction of fish populations living in an artificial lake. We also, give sufficient conditions for the existence of a periodic solution. Examples together with their numeric simulations show the feasibility of the main results.

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Acknowledgments

We would like to thank the referees and the editor for their careful reading of the original manuscript and many valuable comments and suggestions that greatly improved the presentation of this work. This work was partially supported by the Franco-Algerian project: Tassili 10MDU800 and the National Research Project: PNR 08/U13/1030.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Tlemcen, Tlemcen, Algeria

    Ali Moussaoui & Sidi Mohamed Bouguima

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  1. Ali Moussaoui
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  2. Sidi Mohamed Bouguima
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Correspondence to Ali Moussaoui.

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Moussaoui, A., Bouguima, S.M. Seasonal influences on a prey–predator model. J. Appl. Math. Comput. 50, 39–57 (2016). https://doi.org/10.1007/s12190-014-0857-3

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  • DOI: https://doi.org/10.1007/s12190-014-0857-3

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