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Dynamics of a Delayed Predator-Prey Model with Stochastic Perturbation

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Author:: No author available

Journal Title:: Journal of Biomathematics

Issue:: 4

DOI:: No doi available

Key Word:: Harrison型捕食者-食饵模型;时滞;白噪声;Harrison-type predator-prey model;time delay;white noise

Abstract： In this paper,we investigate a Harrison-type predator-prey model involving discrete time delay within fluctuating environment.We show the local and global stabilities of the non-delayed and delayed model.By perturbing growth rate of prey population and death rate of predator population with white noise terms,we construct the stochastic delay differential equation model to discuss the effect of environmental noise on the dynamical behavior.Under certain conditions,the stochastic model with time delay has a unique global positive solution which is stochastically ultimately bounded,and the average in time of the second moment of the solutions is bounded.Furthermore,we perform some numerical simulations to illustrate the analytical findings.

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