Stochastic Periodic Solution and Permanence of a Holling–Leslie Predator-Prey System with Impulsive Effects

• Published in: Journal of mathematics (Hidawi) Vol. 2021; pp. 1 - 19
• Main Authors: Zhao, Jinxing, Shao, Yuanfu
• Format: Journal Article
• Language: English
• Published: Cairo Hindawi 2021; John Wiley & Sons, Inc; Wiley
• Subjects: Differential equations; Endangered & extinct species; Environmental effects; Integral equations; Mathematics; Noise; Predator-prey simulation; Random variables; Stochastic models

Considering the environmental effects, a Holling–Leslie predator-prey system with impulsive and stochastic disturbance is proposed in this paper. Firstly, we prove that existence of periodic solution, the mean time boundness of variables is found by integral inequality, and we establish some suffici...