A stochastic ratio-dependent predator-prey model under regime switching

被引：7
|
作者：
Lv, Jingliang [1 ]
Wang, Ke [1 ,2 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词：
It?(o)over-cap? formula; Irreducible; Exponential martingale inequality; Comparison theorem; Persistent in mean; Extinct; POPULATION-DYNAMICS;
D O I：
10.1186/1029-242X-2011-14
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article presents an investigation of asymptotic properties of a stochastic ratio-dependent predator-prey model under regime switching. Both the white and color noises are taken into account in our model. We obtain the global existence of positive unique solution of the stochastic model. And we show the solution is bounded in mean. Moreover, the sufficient conditions for persistence in mean, extinction are obtained.
引用
收藏
页数：17
相关论文
共 50 条
  • [41] Stability Analysis of a Ratio-Dependent Predator-Prey Model Incorporating a Prey Refuge
    Wang, Lingshu
    Feng, Guanghui
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [42] PERSISTENCE IN PREDATOR-PREY SYSTEMS WITH RATIO-DEPENDENT PREDATOR INFLUENCE
    FREEDMAN, HI
    MATHSEN, RM
    BULLETIN OF MATHEMATICAL BIOLOGY, 1993, 55 (04) : 817 - 827
  • [43] Ratio-dependent predator-prey system with stage structure for prey
    Song, XY
    Cai, LM
    Neumann, AU
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03): : 747 - 758
  • [44] Dynamical analysis of a stochastic ratio-dependent predator-prey system with Levy jumps
    Fan, Caifeng
    Xiong, Zuoliang
    Nie, Dandan
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2014, 52 (02): : 169 - 177
  • [45] Pattern formation in a ratio-dependent predator-prey model with cross diffusion
    Li, Qing
    He, Junfeng
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (02): : 1106 - 1118
  • [46] Analysis of a Stochastic Holling Type II Predator-Prey Model Under Regime Switching
    Jiang, Xiaobo
    Zu, Li
    Jiang, Daqing
    O'Regan, Donal
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (03) : 2171 - 2197
  • [47] Coexistence States of a Ratio-Dependent Predator-Prey Model with Nonlinear Diffusion
    Nitu Kumari
    Nishith Mohan
    Acta Applicandae Mathematicae, 2021, 176
  • [48] 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
  • [49] Ratio-dependent predator-prey model: effect of environmental fluctuation and stability
    Bandyopadhyay, M
    Chattopadhyay, J
    NONLINEARITY, 2005, 18 (02) : 913 - 936
  • [50] Coexistence States of a Ratio-Dependent Predator-Prey Model with Nonlinear Diffusion
    Kumari, Nitu
    Mohan, Nishith
    ACTA APPLICANDAE MATHEMATICAE, 2021, 176 (01)
12345