一类带Lévy噪声的随机捕食-被捕食系统

doi:10.16088/j.issn.1001-6600.2017.02.010

Abstract

Abstract: In this paper, a stochastic Bedding-DeAngelis predator-prey system with Lévy jumps is investigated. Using the construction of Lyapunov functions and stopping time technique, the existence of global unique positive solution is obtained. Based on that, by constructing some functions, it is shown that the solution of the system is stochastically ultimate bounded. Finally, some sufficient conditions of extinction are established.

Key words: Beddington-DeAngelis predator-prey model, Lévy jumps, extinction

CLC Number:

O175

HUANG Kaijiao, XIAO Feiyan. A Stochastic Predator-prey System with Lévy Jumps[J].Journal of Guangxi Normal University(Natural Science Edition), 2017, 35(2): 66-72.

References

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A Stochastic Predator-prey System with Lévy Jumps

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