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

页码：289 / 301

页数：13

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