Dynamic behavior of stochastic predator-prey system with Lévy jumps

Abstract

Abstract: Dynamic behavior of stochastic predator-prey model with Lévy jumps is investigated. By constructing an appropriate Lyapunov function and using It formula, the existence uniqueness of the global positive solution of the system is proven and the sufficient conditions that guarantee the stochastic permanence or extinction of the system are given out. Finally, numerical simulation is conducted to verify the validity of the theoretic result obtained.

Key words: stochastic predator-prey model, Lévy jumps, stochastic permanence, extinction

CLC Number:

O175

HUANG Can-yun, LIANG Hong-yang, MENG Xin-you. Dynamic behavior of stochastic predator-prey system with Lévy jumps[J]. Journal of Lanzhou University of Technology, 2020, 46(1): 152-157.

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