Confidence domain in the stochastic competition chemostat model with feedback control

XU Chao-qun; YUAN San-ling; ZHANG Tong-hua

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Confidence domain in the stochastic competition chemostat model with feedback control

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This paper studies a stochastically forced chemostat model with feedback control in which two organisms compete for a single growth-limiting substrate. In the deterministic counterpart, previous researches show that the coexistence of two competing organisms may be achieved as a stable positive equilibrium or a stable positive periodic solution by different feedback schedules. In the stochastic case, based on the stochastic sensitivity function technique,we construct the confidence domains for different feedback schedules which allow us to find the configurational arrangements of the stochastic attractors and analyze the dispersion of the random states of the stochastic model.

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《高校应用数学学报：英文版》 |2018年第4期|379-389|共11页
作者
XU Chao-qun; YUAN San-ling; ZHANG Tong-hua;
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作者单位

Faculty of Science;

Jiangsu University;

College of Science;

University of Shanghai for Science and Technology;

Department of Mathematics;

Swinburne University of Technology;

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原文格式 PDF
正文语种 chi
中图分类数学;
关键词
stochastic; chemostat; model; feedback; control; white; noise; confidence; domain;

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Confidence domain in the stochastic competition chemostat model with feedback control

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