Dynamics of Dual-Dispersal Predator-Prey Systems Under Stochastic Perturbations

ZU Li; HUANG Dong-dong; LIU Yang

doi:10.21656/1000-0887.370051

Volume 38 Issue 3

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ZU Li, HUANG Dong-dong, LIU Yang. Dynamics of Dual-Dispersal Predator-Prey Systems Under Stochastic Perturbations[J]. Applied Mathematics and Mechanics, 2017, 38(3): 355-368. doi: 10.21656/1000-0887.370051

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Dynamics of Dual-Dispersal Predator-Prey Systems Under Stochastic Perturbations

doi: 10.21656/1000-0887.370051

¹School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, P.R.China;²College of Information Engineering, Dalian University, Dalian, Liaoning 116600, P.R.China

Received Date: 2016-02-23
Rev Recd Date: 2016-10-16
Publish Date: 2017-03-15

Abstract

Abstract

A predatorprey model was considered, in which both the predators and the preys dispersed among n patches under stochastic perturbations. Based on the method of Lyapunov functions, it was proved that a unique global positive solution existed for any given positive initial value; in turn, the property of ultimate boundedness was obtained. In addition, the sufficient conditions for the extinctions of the preys and even the whole system were given. Finally, the theoretic conclusions were validated by numerical simulations.
- predator-prey model,
- stochastic perturbation,
- dispersal,
- stochastically ultimate boundedness,
- extinction

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References(16)

References

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