Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment

[摘要] In this paper, a stochastic competitive model with distributed time delays and Lévy jumps is formulated. With or without a polluted environment, the model is denoted by ( M ) or ( M 0 ), respectively. The existence of positive solution, persistence in mean, and extinction of species for ( M ) and ( M 0 ) are both studied. The sufficient criteria of stability in distribution for model ( M ) is obtained. Finally, some numerical simulations are given to illustrate our theoretical results.

[学科分类] 安全、风险、质量和可靠性