Analysis of a non-autonomous mutualism model driven by Levy jumps

TL;DR

This paper investigates a mutualism ecological model influenced by Levy noise, establishing conditions for existence, boundedness, extinction, and persistence of solutions, thereby advancing understanding of stochastic ecological dynamics.

Contribution

It introduces a stochastic mutualism model driven by Levy jumps and analyzes its existence, boundedness, extinction, and persistence conditions.

Findings

Existence and uniqueness of positive solutions

Conditions for stochastic boundedness and permanence

Criteria for extinction and persistence

Abstract

This article is concerned with a mutualism ecological model with Levy noise. The local existence and uniqueness of a positive solution are obtained with positive initial value, and the asymptotic behavior to the problem is studied. Moreover, we show that the solution is stochastically bounded and stochastic permanence. The sufficient conditions for the system to be extinct are given and the condition for the system to be persistent are also established.