Stochastic Lotka-Volterra mutualism model with jumps

被引：0
|
作者：
Borysenko, Olga [1 ]
Borysenko, Oleksandr [2 ]
机构：
[1] Natl Tech Univ Ukraine, Dept Math Phys, 37,Prosp Peremohy, UA-03056 Kiev, Ukraine
[2] Taras Shevchenko Natl Univ Kyiv, Dept Probabil Theory Stat & Actuarial Math, 64 Volodymyrska Str, UA-01601 Kiev, Ukraine
来源：
MODERN STOCHASTICS-THEORY AND APPLICATIONS | 2024年 / 11卷 / 03期
关键词：
Stochastic Lotka-Volterra mutualism model; global solution; stochastic ultimate boundedness; stochastic permanence; nonpersistence; strong persistence in the mean; DYNAMICS; SYSTEM;
D O I：
10.15559/23-VMSTA242
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The existence and uniqueness of the global positive solution are proved for the system of stochastic differential equations describing a two-species Lotka-Volterra mutualism model disturbed by white noise, centered and noncentered Poisson noises. For the considered system, sufficient conditions of stochastic ultimate boundedness, stochastic permanence, nonpersistence and strong persistence in the mean are obtained.
引用
收藏
页码：289 / 301
页数：13
相关论文
共 50 条
  • [1] Maximum likelihood estimation for stochastic Lotka-Volterra model with jumps
    Zhao, Huiyan
    Zhang, Chongqi
    Wen, Limin
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [2] Stochastic Lotka-Volterra Model
    Lian, Baosheng
    Hu, Shi-geng
    [J]. ICMS2009: PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION, VOL 5, 2009, : 417 - 420
  • [3] Asymptotic properties of the Lotka-Volterra competition and mutualism model under stochastic perturbations
    Shaikhet, Leonid
    Korobeinikov, Andrei
    [J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2024, 41 (01): : 19 - 34
  • [4] Optimal harvesting of a stochastic delay competitive Lotka-Volterra model with Levy jumps
    Qiu, Hong
    Deng, Wenmin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 317 : 210 - 222
  • [5] Threshold behavior of a stochastic Lotka-Volterra food chain chemostat model with jumps
    Gao, Miaomiao
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 523 : 191 - 203
  • [6] Stability in distribution of a stochastic hybrid competitive Lotka-Volterra model with Levy jumps
    Zhao, Yu
    Yuan, Sanling
    [J]. CHAOS SOLITONS & FRACTALS, 2016, 85 : 98 - 109
  • [7] Stochastic Delay Lotka-Volterra Model
    Lian Baosheng
    Hu Shigeng
    Fen Yang
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [8] Stochastic Delay Lotka-Volterra Model
    Lian Baosheng
    Hu Shigeng
    Fen Yang
    [J]. Journal of Inequalities and Applications, 2011
  • [9] Stochastic delay Lotka-Volterra model
    Bahar, A
    Mao, XR
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (02) : 364 - 380
  • [10] Stochastic Lotka-Volterra Systems under Regime Switching with Jumps
    Wu, Ruihua
    Zou, Xiaoling
    Wang, Ke
    Liu, Meng
    [J]. FILOMAT, 2014, 28 (09) : 1907 - 1928
12345