Permanence and Stability of Ivlev-Type Chemostat Model with Impulsive Perturbation on The Nutrient Concentration

被引：0
|
作者：
Sun, Ying [1 ]
Han, Zhenlai [1 ]
机构：
[1] Univ Jinan, Sch Sci, Jinan 250022, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
impulse; permanence; global stability; chemostat model;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A system of impulsive differential equations is considered as a chemostat model with Ivlev-type growth-rates. We find conditions for the asymptotically stability of the microorganism-eradication period solution by applying the Floquet theory of an impulsive differential equation and small amplitude perturbation techniques to the system. Moreover, the permanence of the system is discussed in detail.
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页码：263 / 266
页数：4
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