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A reaction-diffusion equations modelling the effect of fluctuating water levels on prey-predator interactions

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  • Moussaoui, Ali

Abstract

Prey-predator interactions are influenced by many ecological factors. In this paper, a prey-predator model with spatial diffusion under homogeneous Neumann boundary conditions is investigated to study the impact of water level on persistence of two fish populations living in an artificial lake. We obtain some important qualitative properties, including the existence of the global positive solution, the dissipation and permanence of this system. The existence of a unique globally stable periodic solution is also presented. Some numerical examples are presented to verify our results.

Suggested Citation

  • Moussaoui, Ali, 2015. "A reaction-diffusion equations modelling the effect of fluctuating water levels on prey-predator interactions," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1110-1121.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:1110-1121
    DOI: 10.1016/j.amc.2015.07.018
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    References listed on IDEAS

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    1. Chiboub Fellah, N. & Bouguima, S.M. & Moussaoui, A., 2012. "The effect of water level in a prey-predator interactions: A nonlinear analysis study," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 205-212.
    2. Chang, Lili & Sun, Gui-Quan & Wang, Zhen & Jin, Zhen, 2015. "Rich dynamics in a spatial predator–prey model with delay," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 540-550.
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    Cited by:

    1. Menouer, M.A. & Moussaoui, A., 2016. "Effects of consecutive water level fluctuations and harvesting on predator-prey interactions," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 434-442.

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