STATIONARY DISTRIBUTION OF A LOTKA-VOLTERRA MODEL WITH STOCHASTIC PERTURBATIONS AND DISTRIBUTED DELAY

Nan Cao; Xianlong Fu

doi:10.11948/20210175

STATIONARY DISTRIBUTION OF A LOTKA-VOLTERRA MODEL WITH STOCHASTIC PERTURBATIONS AND DISTRIBUTED DELAY

Nan Cao
, Xianlong Fu^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

This paper devotes to the existence of a stationary distribution for a one-prey and two-predator Lotka-Volterra model with stochastic nonlinear perturbations and distributed delay. The studied autonomous system is first proved having a unique global and positive solution. Then, through construct-ing appropriate Lyapunov function and using Itô formula, sufficient conditions guaranteeing the existence of a stationary distribution of the stochastic system are obtained. Some numerical simulations are also provided in the end to illustrate the main results.

源语言	英语
页（从-至）	1713-1726
页数	14
期刊	Journal of Applied Analysis and Computation
卷	12
期	5
DOI	https://doi.org/10.11948/20210175
出版状态	已出版 - 2022

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title = "STATIONARY DISTRIBUTION OF A LOTKA-VOLTERRA MODEL WITH STOCHASTIC PERTURBATIONS AND DISTRIBUTED DELAY",

abstract = "This paper devotes to the existence of a stationary distribution for a one-prey and two-predator Lotka-Volterra model with stochastic nonlinear perturbations and distributed delay. The studied autonomous system is first proved having a unique global and positive solution. Then, through construct-ing appropriate Lyapunov function and using It{\^o} formula, sufficient conditions guaranteeing the existence of a stationary distribution of the stochastic system are obtained. Some numerical simulations are also provided in the end to illustrate the main results.",

keywords = "It{\^o} formula, Lotka-Volterra model, distributed delay, global solution, stationary distribution",

author = "Nan Cao and Xianlong Fu",

year = "2022",

doi = "10.11948/20210175",

language = "英语",

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pages = "1713--1726",

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T1 - STATIONARY DISTRIBUTION OF A LOTKA-VOLTERRA MODEL WITH STOCHASTIC PERTURBATIONS AND DISTRIBUTED DELAY

AU - Cao, Nan

AU - Fu, Xianlong

PY - 2022

Y1 - 2022

N2 - This paper devotes to the existence of a stationary distribution for a one-prey and two-predator Lotka-Volterra model with stochastic nonlinear perturbations and distributed delay. The studied autonomous system is first proved having a unique global and positive solution. Then, through construct-ing appropriate Lyapunov function and using Itô formula, sufficient conditions guaranteeing the existence of a stationary distribution of the stochastic system are obtained. Some numerical simulations are also provided in the end to illustrate the main results.

AB - This paper devotes to the existence of a stationary distribution for a one-prey and two-predator Lotka-Volterra model with stochastic nonlinear perturbations and distributed delay. The studied autonomous system is first proved having a unique global and positive solution. Then, through construct-ing appropriate Lyapunov function and using Itô formula, sufficient conditions guaranteeing the existence of a stationary distribution of the stochastic system are obtained. Some numerical simulations are also provided in the end to illustrate the main results.

KW - Itô formula

KW - Lotka-Volterra model

KW - distributed delay

KW - global solution

KW - stationary distribution

UR - https://www.scopus.com/pages/publications/85138543568

U2 - 10.11948/20210175

DO - 10.11948/20210175

M3 - 文章

AN - SCOPUS:85138543568

SN - 2156-907X

VL - 12

SP - 1713

EP - 1726

JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 5

ER -

STATIONARY DISTRIBUTION OF A LOTKA-VOLTERRA MODEL WITH STOCHASTIC PERTURBATIONS AND DISTRIBUTED DELAY

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