TITLE:
Global Dynamics of a Stochastic Two-Prey One-Predator Model with S-Type Distributed Delays and Lévy Noises
AUTHORS:
Taolin Zhang, Yuanfu Shao, Xiaowan She
KEYWORDS:
Distributed Delays, Lévy Noises, Global Attractivity, Stability in Distribution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.9,
September
28,
2020
ABSTRACT: In this paper, a stochastic two-prey one-predator model with S-type distributed time delays and Lévy noises is considered. Using the comparison theorem and Ito’s formula, sufficient conditions of persistence in the mean and extinct for each population are established. Then, conditions of global attractivity and stability in distribution by Barbalat’s conclusion are also obtained. Furthermore, Euler numerical simulation method is given to demonstrate our conclusions.