DYNAMICS OF A STOCHASTIC CHEMOSTAT COMPETITION MODEL WITH PLASMID-BEARING AND PLASMID-FREE ORGANISMS

被引：2

作者：

Gao, Miaomiao ^{[1
]}

Jiang, Daqing ^{[1
,2
,3
]}

Hayat, Tasawar ^{[3
,4
]}

Alsaedi, Ahmed ^{[3
]}

Ahmad, Bashir ^{[3
]}

机构：

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] China Univ Petr East China, Minist Educ, Key Lab Unconvent Oil & Gas Dev, Qingdao 266580, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[4] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 04期

关键词：

Stochastic chemostat model; plasmid-bearing; plasmid-free; stationary distribution; STATIONARY DISTRIBUTION; EXCLUSION; BEHAVIOR;

D O I：

10.11948/20190236

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a chemostat model of competition between plasmid-bearing and plasmid-free organisms, perturbed by white noise. Firstly, we prove the existence and uniqueness of the global positive solution. Then by constructing suitable Lyapunov functions, we establish sufficient conditions for the existence of a unique ergodic stationary distribution. Furthermore, conditions for extinction of plasmid-bearing organisms are obtained. Theoretical analysis indicates that large noise intensity sigma(2)(2) is detrimental to the survival of plasmid-bearing organisms and is not conducive to the commercial production of genetically altered organisms. Finally, numerical simulations are presented to illustrate the results.

引用

页码：1464 / 1481

页数：18

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