Author(s)

Xiaowan She, Yuanfu Shao, Taolin Zhang

College of Science, Guilin University of Technology, Guilin, China.

This paper established a modified Leslie-Gower and Holling-type IV stochastic predator-prey model with Lévy noise and impulsive toxicant input. We study the stability in distribution of solutions by inequality techniques and ergodic method. By comparison method and Itô’s formula, we obtain the sufficient conditions for the survival of each species. Some numerical simulations are introduced to show the theoretical results.

Lévy Noise, Impulsive Toxicant Input, Comparison Method, Extinction and Persistence

She, X. , Shao, Y. and Zhang, T. (2020) Dynamical Analysis of a Stochastic Predator-Prey System with Lévy Noise and Impulsive Toxicant Input. Journal of Applied Mathematics and Physics, 8, 1999-2019. doi: 10.4236/jamp.2020.89149.