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Li, D. and Xu, D. (2013) Periodic Solutions of Stochastic Delay Differential Equations and Applications to Logistic Equation and Neural Networks. Journal of the Korean Mathematical Society, 50, 1165-1181.
https://doi.org/10.4134/JKMS.2013.50.6.1165

has been cited by the following article:

• TITLE: Periodic Solution for Stochastic Predator-Prey Systems with Nonlinear Harvesting and Impulses

  AUTHORS: Yafei Yang, Yuanfu Shao, Mengwei Li

  KEYWORDS: Impulses Perturbations, Periodic Solution, Non-Linear Harvesting, Stochastic Predator-Prey Systems, Globally Attractive

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.9 No.4, November 15, 2019

  ABSTRACT: In this paper, astochastic predator-prey systems with nonlinear harvesting and impulsive effect are investigated. Firstly, we show the existence and uniqueness of the global positive solution of the system. Secondly, by constructing appropriate Lyapunov function and using comparison theorem with an impulsive differential equation, we study that a positive periodic solution exists. Thirdly, we prove that system is globally attractive. Finally, numerical simulations are presented to show the feasibility of the obtained results.