A stochastic prey-predator model with time-dependent delays

被引：3
|
作者：
Dai, Xiangjun [1 ]
Mao, Zhi [1 ]
Li, Xiaojun [1 ]
机构：
[1] TongRen Univ, Sch Data Sci, Tongren 554300, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
prey-predator system; time-dependent delays; stochastically ultimate bounded; persistence; extinction; RANDOM PERTURBATION; LOGISTIC EQUATION; COMPETITIVE MODEL; GLOBAL STABILITY; PERSISTENCE; EXTINCTION; DIFFUSION; SYSTEMS;
D O I：
10.1186/s13662-017-1321-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic predator-prey system with time-dependent delays is considered. Firstly, we show the existence of a global positive solution and stochastically ultimate boundedness. Secondly, the critical value between weak persistence and extinction of the prey is obtained and we also give the asymptotic pathwise estimation. Finally, we simulate the model to illustrate our results.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] A stochastic prey-predator model with time-dependent delays
    Xiangjun Dai
    Zhi Mao
    Xiaojun Li
    Advances in Difference Equations, 2017
  • [2] Time-dependent probability density functions and information geometry in a stochastic prey-predator model of fusion plasmas
    Fuller, Patrick
    Kim, Eun-jin
    Hollerbach, Rainer
    Hnat, Bogdan
    PHYSICS OF PLASMAS, 2024, 31 (09)
  • [3] A PREY-PREDATOR MODEL WITH MIGRATIONS AND DELAYS
    Al-Darabsah, Isam
    Tang, Xianhua
    Yuan, Yuan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (03): : 737 - 761
  • [4] A STOCHASTIC PREY-PREDATOR MODEL WITH TIME-DELAY
    PRAJNESHU
    MATHEMATICAL BIOSCIENCES, 1980, 52 (3-4) : 217 - 226
  • [5] Long-time behaviour of a stochastic prey-predator model
    Rudnicki, R
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2003, 108 (01) : 93 - 107
  • [6] Stochastic prey-predator model with additional food for predator
    Das, Amartya
    Samanta, G. P.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 512 : 121 - 141
  • [7] Time-dependent probability density functions, information geometry and entropy production in a stochastic prey-predator model of fusion plasmas
    Fuller, Patrick
    Kim, Eun-jin
    Hollerbach, Rainer
    Hnat, Bogdan
    PHYSICS OF PLASMAS, 2023, 30 (10)
  • [8] Time-dependent probability density functions and information diagnostics in forward and backward processes in a stochastic prey-predator model of fusion plasmas
    Hollerbach, Rainer
    Kim, Eun-jin
    Schmitz, Lothar
    PHYSICS OF PLASMAS, 2020, 27 (10)
  • [9] Stochastic analysis of a prey-predator model with herd behaviour of prey
    Bera, Shyam Pada
    Maiti, Alakes
    Samanta, Guruprasad
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (03): : 345 - 361
  • [10] Stochastic analysis of prey-predator model with stage structure for prey
    Saha T.
    Chakrabarti C.
    Journal of Applied Mathematics and Computing, 2011, 35 (1-2) : 195 - 209
12345