Dynamics of a prey-predator system with modified Leslie-Gower and Holling type Ⅱ schemes incorporating a prey refuge - Archive ouverte HAL
Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series B Année : 2019

Dynamics of a prey-predator system with modified Leslie-Gower and Holling type Ⅱ schemes incorporating a prey refuge

Résumé

We study a modified version of a prey-predator system with modified Leslie-Gower and Holling type Ⅱ functional responses studied by M.A. Aziz-Alaoui and M. Daher-Okiye. The modification consists in incorporating a refuge for preys, and substantially complicates the dynamics of the system. We study the local and global dynamics and the existence of cycles. We also investigate conditions for extinction or existence of a stationary distribution, in the case of a stochastic perturbation of the system

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Probabilités [math.PR]
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Soumis le : lundi 6 juillet 2020-02:21:54

Dernière modification le : jeudi 16 mai 2024-10:00:15

Archivage à long terme le : vendredi 25 septembre 2020-11:55:20

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hal-02189210 , version 1 (06-07-2020)

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Safia Slimani, Paul Raynaud de Fitte, Islam Boussaada. Dynamics of a prey-predator system with modified Leslie-Gower and Holling type Ⅱ schemes incorporating a prey refuge. Discrete and Continuous Dynamical Systems - Series B, 2019, 24 (9), pp.5003-5039. ⟨10.3934/dcdsb.2019042⟩. ⟨hal-02189210⟩

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