A stochastic prey-predator model under harvesting: Theoretical and numerical analysis

Lamia Bousmaha, Karima Smail, Omar Kebiri, Ali Moussaoui, Abdeldjebbar Kandouci

Abstract


A stochastic sh prey predator model with functional response is proposed and investigated. We show there is a unique positive solution to the model with positive initial value and we show that the positive solution to the stochastic system is stochastically bounded. Besides, a condition for the system to be extinct is given and persistent conditions are established. We further investigate the stability of our system. Theoretical results are illustrated using numerical simulations.

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DOI: https://doi.org/10.52846/ami.v53i1.2164