Permanence and Extinction of a Stochastic Delay Logistic Model with Jumps

الملخص EN

This paper is concerned with a stochastic delay logistic model with jumps.

Sufficient and necessary conditions for extinction are obtained as well as stochastic permanence.

Numerical simulations are introduced to support the theoretical analysis results.

The results show that the jump process can affect the properties of the population model significantly, which conforms to biological significance.