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Ikeda, N. and Watanabe, S. (2014) Stochastic Differential Equations and Diffusion Processes. Elsevier, Amsterdam.

has been cited by the following article:

• TITLE: Dynamical Analysis of a Stochastic Predator-Prey System with Lévy Noise and Impulsive Toxicant Input

  AUTHORS: Xiaowan She, Yuanfu Shao, Taolin Zhang

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.9, September 28, 2020

  ABSTRACT: 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.