带有Lévy跳的随机捕食-食饵系统动力学行为

兰州理工大学学报 ›› 2020, Vol. 46 ›› Issue (1): 152-157.

带有Lévy跳的随机捕食-食饵系统动力学行为

黄灿云, 梁弘杨, 孟新友

兰州理工大学理学院, 甘肃兰州 730050

收稿日期:2018-03-07 出版日期:2020-02-28 发布日期:2020-06-23
作者简介:黄灿云(1965-),男,河南淮阳人,博士,教授.
基金资助:
国家自然科学基金(11661050)

Dynamic behavior of stochastic predator-prey system with Lévy jumps

HUANG Can-yun, LIANG Hong-yang, MENG Xin-you

School of Science, Lanzhou Univ. of Tech. , Lanzhou 730050, China

Received:2018-03-07 Online:2020-02-28 Published:2020-06-23

摘要/Abstract

摘要： 研究带有Lévy跳的随机捕食-食饵模型的动力学行为.主要通过构造恰当的Lyapunov函数,使用It公式证明了系统全局正解的存在唯一性,给出了系统随机持久、灭绝的充分条件,通过数值模拟进一步说明了所得理论结果的正确性.

关键词: 随机捕食-食饵模型, Lévy跳, 随机持久, 灭绝

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

中图分类号:

O175

黄灿云, 梁弘杨, 孟新友. 带有Lévy跳的随机捕食-食饵系统动力学行为[J]. 兰州理工大学学报, 2020, 46(1): 152-157.

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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