Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise

Abstract

In this paper, we first investigate a stochastic two-predators one-prey model with Lévy noise and distributed delays. The global dynamical behaviour is discussed. The criteria on the existence of global positive solutions, stochastic boundedness, extinction and global asymptotic stability in the mean with probability one are established. And then, the harvesting for each species is introduced to the model. The optimal harvesting strategy and the maximum of expectation of sustainable yield (MESY, for short) are further established.

Keywords

• stochastic predators-prey model
• lévy noise
• distributed delay
• extinction
• global stability in the mean
• harvesting