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Stationary distribution of a stochastic predator–prey model with distributed delay and higher order perturbations

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Abstract In this paper, we study a stochastic predator–prey model with distributed delay and higher order perturbations. By the linear chain technique, we transform the stochastic system with weak kernel… Click to show full abstract

Abstract In this paper, we study a stochastic predator–prey model with distributed delay and higher order perturbations. By the linear chain technique, we transform the stochastic system with weak kernel case into an equivalent degenerate system which contains three equations. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model.

Keywords: stochastic predator; model; distributed delay; model distributed; prey model; predator prey

Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2019

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