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

Safia Slimani (1) , Paul Raynaud de Fitte (1) , Islam Boussaada (2)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem
2 L2S - Laboratoire des signaux et systèmes

We study a modified version of a prey-predator system with modified Leslie-Gower and Holling type II functional response 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 also investigate a stochastic perturbation of the system.

Domaines: Probabilités [math.PR]; Systèmes dynamiques [math.DS]

Safia Slimani, Paul Raynaud de Fitte, Islam Boussaada. Dynamics of a stochastically perturbed prey-predator system with modified Leslie-Gower and Holling type II schemes incorporating a prey refuge. 2018. ⟨hal-01707650v1⟩