Dynamics of a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant

被引：3

作者：

Jiao, Jianjun ^{[1
]}

Li, Qiuhua ^{[2
]}

机构：

[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China

[2] Guizhou Normal Univ, Key Lab Informat Syst Mt Area & Protect Ecol Envi, Guiyang 550001, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stochastic eutrophication-chemostat model; Impulsive dredging; Pulse input; Extinction; STATIONARY DISTRIBUTION; EXTINCTION;

D O I：

10.1186/s13662-020-02905-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant. The sufficient condition for the extinction of microorganisms is obtained. The sufficient condition for the investigated system with unique ergodic stationary distribution is also obtained. The results show that the stochastic noise, impulsive dredging, and pulse input on the environmental toxicant play important roles in the extinction of microorganisms. The results also indicate the effective and reliable controlling strategy for water resource management. Finally, numerical simulations are employed to illustrate our results.

引用

页数：16

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