Dynamical analysis of a stochastic ratio-dependent predator-prey system with Levy jumps

被引:0
|
作者
Fan, Caifeng [1 ]
Xiong, Zuoliang [1 ]
Nie, Dandan [1 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2014年 / 52卷 / 02期
关键词
Stochastic; ratio-dependent system; Ito's formula; Levy jumps;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned a stochastic ratio-dependent predator-prey system with Levy jumps. By the comparison theorem of stochastic equations with Levy jumps and generalized Ito's formula, we obtain the existence of a unique global positive solution and conditions for species to be persistent and extinct. Numerical simulations are carried out to support our results in the end.
引用
收藏
页码:169 / 177
页数:9
相关论文
共 50 条
  • [31] Parametric analysis of the ratio-dependent predator-prey model
    Berezovskaya, F
    Karev, G
    Arditi, R
    JOURNAL OF MATHEMATICAL BIOLOGY, 2001, 43 (03) : 221 - 246
  • [32] Stability Analysis of a Ratio-Dependent Predator-Prey Model
    Yao, Pei
    Wang, Zuocheng
    Wang, Lingshu
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [33] Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model
    Lv, Jingliang
    Wang, Ke
    Chen, Dongdong
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2015, 17 (02) : 403 - 418
  • [34] Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model
    Jingliang Lv
    Ke Wang
    Dongdong Chen
    Methodology and Computing in Applied Probability, 2015, 17 : 403 - 418
  • [35] Analysis of Asymptotic and Transient Behaviors of Stochastic Ratio-Dependent Predator-Prey Model
    Liu, Wen
    Feng, Jianfeng
    MATHEMATICS, 2021, 9 (21)
  • [36] Bifurcation analysis for a ratio-dependent predator-prey system with multiple delays
    Lv, Dingyang
    Zhang, Wen
    Tang, Yi
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 3479 - 3490
  • [37] Stationary distribution and extinction of a stochastic ratio-dependent predator-prey system with stage structure for the predator
    Zhao, Xin
    Zeng, Zhijun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 545 (545)
  • [38] DYNAMIC ANALYSIS OF A MODIFIED STOCHASTIC PREDATOR-PREY SYSTEM WITH GENERAL RATIO-DEPENDENT FUNCTIONAL RESPONSE
    Yang, Yu
    Zhang, Tonghua
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 103 - 117
  • [39] Bifurcation Analysis of a Predator-Prey System with Ratio-Dependent Functional Response
    Jiang, Xin
    She, Zhikun
    Feng, Zhaosheng
    Zheng, Xiuliang
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (14):
  • [40] A Ratio-Dependent Nonlinear Predator-Prey Model With Certain Dynamical Results
    Tassaddiq, Asifa
    Shabbir, Muhammad Sajjad
    Din, Qamar
    Ahmad, Khalil
    Kazi, Sabeena
    IEEE ACCESS, 2020, 8 : 195074 - 195088