污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)

任杰; 曼合布拜; 王凯

您当前的位置：

首页 >

文章列表页 >

污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)

数理科学 | 更新时间：2026-01-21

- 污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)
- 污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)
- 新疆大学学报（自然科学版中英文） 2010年27卷第4期页码：431-440
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  Supported by The National Natural Science Foundation of P. R. China[10961022,10901130];The Scientific Research Programes of Colleges in Xinjiang [XJEDU2007G01,XJEDU2006I05,XJEDU2008S10]
- DOI：
  中图分类号： O175.13
- 纸质出版：2010
- 稿件说明：
移动端阅览
[1]任杰,曼合布拜,王凯.污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)[J].新疆大学学报(自然科学版),2010,27(04):431-440.

任杰, 曼合布拜, 王凯. 污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(4): 431-440.
[1]任杰,曼合布拜,王凯.污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)[J].新疆大学学报(自然科学版),2010,27(04):431-440. DOI：

任杰, 曼合布拜, 王凯. 污染环境中具有时滞营养循环和周期脉冲输入的Chemotat模型的研究(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(4): 431-440. DOI：

摘要

考虑了在污染环境中带有时滞营养循环和周期脉冲输入的Chemostat模型.利用李雅普诺夫函数的方法得到了解的有界性.进一步通过引入新的研究方法获得了周期解的全局吸引性.同时

给出了微生物持久性和灭绝性的充要条件.

Abstract

In this paper

chemostat model with delayed nutrient recycling and periodically pulsed input in a polluted environment is considered.By using the Liapunov function method

the boundedness of solutions are obtained.Furthermore

by introducing new research methods

the global attractivity of the microorganism eradication periodic solution is obtained.At the same time

the sufficient and necessary conditions on the permanence and extinction of the microorganisms are established.

关键词

Keywords

references

Beretta E,Bischi G I,Solimano F. Stability in chemostat equations with delayed nutrient recycling[J]. J Math Biol,1990,28:9-111.

Ruan S. Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling[J]. J Math Biol, 1993,31:633-654.

Ruan S. A three-trophic-level model of plankton dynamics with nutrient recyling[J]. Canad Appl Math Quart,1993,1:529-553.

Wang F,Pang G. Competition in a chemostat with Beddington-DEAngelis growth rates and periodic pulsed nutrient[J]. J Math Chem,2008,43:210-226.

Pilyugin S,Waltman P. Competition in the unstirred chemostat with periodic input and washout[J]. SIAM J Appl Math,1999,59:1157-1177.

He X Z,Ruan S,Xia H. Global stability in chemostat-type equations with delayed nutrient recycling[J]. J Math Biol,1998,37:681-696.

Zhao Z,Chen L. Dynamic analysis of lactic acid fermentation in membrane bioreactor[J]. J Theor Biol,2009,doi:10.1016/j.jtbi.2008.11.030.

Ruan S. Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling[J]. J Math Biol, 1993,31:633-654.

Beretta E,Takeuchi Y. Global stability for chemostat equations with delyed nutrient recycling[J]. Nonliner World,1994,1:291-306.

EI-Owaidy H M,Ismail M. Asmptotic behavior of the chemostat model with delayed response in growth[J]. Choas Solitons and Fratals,2002,13:789-795.

Smith H L. Competitive coexistence in an oscillating chemostat chemostat[J]. SIAM J Appl Math,1981,40:498-522.

Teng Z,Gao R,Rehim M,et al. Global behaviors of Monod type chemostat model with nutrient recycling and impulsive input[J]. J Math Chem,2009,In press.

Sun S,Chen L,Sun S. Dynamic behaviors of Monod type chemostat model with impulsive perturbation on the nutrient concentration[J]. J Math Chem,2007,42:837-847.

Kuang Y. Delay differential equations with applications in populations of dynamics[J]. Academic Press,1993.

Zhao Z,Chen L,Song X Y. Extinction and permanence of chemostat model with pulsed input in a polluted environment[J]. Nonlinear Science and Numerical Simulation,2009,14:1737-1745.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性

一般非自治单种群Kolmgorov时滞生态系统的持久性准则及其应用(英文)