Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant

被引：27

作者：

Jiao, Jianjun ^{[1
]}

Ye, Kaili ^{[2
]}

Chen, Lansun ^{[3
]}

机构：

[1] Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China

[2] Xinyang Normal Univ, Sch Econ & Management, Xinyang 464000, Henan, Peoples R China

[3] Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2011年 / 44卷 / 1-3期

基金：

中国国家自然科学基金;

关键词：

QUALITATIVE APPROACH; POPULATIONS;

D O I：

10.1016/j.chaos.2010.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally asymptotically stable. The permanent condition of the investigated system is also analyzed by the theory on impulsive differential equation. Our results reveal that the chemostat environmental changes play an important role on the outcome of the chemostat. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：17 / 27

页数：11

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