Liu, S., Beretta, E. and Breda, D. (2010) Predator-Prey Model of Beddington-DeAngelis Type with Maturation and Gestation Delays. Nonlinear Analysis: Real World Applications, 11, 4072-4091. https://doi.org/10.1016/j.nonrwa.2010.03.013

has been cited by the following article:

• TITLE: Dynamics of a Stochastic Delayed Predator-Prey System with Beddington-DeAngelis Functional Response

  AUTHORS: Mengwei Li, Yuanfu Shao, Yafei Yang

  KEYWORDS: Beddington-DeAngelis Response, Stochastic Perturbation, Stochastic Ultimate Boundedness, Asymptotic Moment Estimation

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.8 No.4, November 14, 2019

  ABSTRACT: This paper is concerned with a stochastic predator-prey system with Beddington-DeAngelis functional response and time delay. Firstly, we show that this system has a unique positive solution as this is essential in any population dynamics model. Secondly, the validity of the stochastic system is guaranteed by stochastic ultimate boundedness of the analyzed solution. Finally, by constructing suitable Lyapunov functions, the asymptotic moment estimation of the solution was given. These properties of the solution can provide theoretical support for biological resource management.