Viewing Options

Recommend to your friends

SURVIVAL ANALYSIS OF AN IMPULSIVE STOCHASTIC DELAY LOGISTIC MODEL WITH LEVY JUMPS


Pages: --, Volume 16, Issue 5, 2019

doi:

Abstract: This paper studies a stochastic delay logistic model with Levy jumps and impulsive perturbations. We show that the model has a unique global positive solution. Suffcient conditions for extinction, non-persistence in the mean, weak persistence, stochastic permanence and global asymptotic stability are established. The threshold between weak persistence and extinction is obtained. The results demonstrate that impulsive perturbations which may represent human factor play an important role in protecting the population even if it suffers sudden environmental shocks that can be discribed by Levy jumps.


Keywords: Persistence, Levy jump, Impulsive perturbation, logistic model, Infnite delay.
Mathematics Subject Classification:  

Received: July 2004; Revised: August 2004; Published: November 2004.