Dynamic Behaviors in a Droop Model for Phytoplankton Growth in a Chemostat with Nutrient Periodically Pulsed Input

被引:2
|
作者
Wang, Kai [1 ]
Teng, Zhidong [2 ]
Zhang, Xueliang [1 ]
机构
[1] Xinjiang Med Univ, Dept Med Engn & Technol, Urumqi 830054, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
基金
中国国家自然科学基金;
关键词
DEANGELIS FUNCTIONAL-RESPONSE; FOOD-CHAIN CHEMOSTAT; POLLUTED ENVIRONMENT; GLOBAL STABILITY; DELAYED-RESPONSE; VARIABLE-YIELD; COMPETITION; WASHOUT; PERMANENCE; EXTINCTION;
D O I
10.1155/2012/843735
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The dynamic behaviors in a droop model for phytoplankton growth in a chemostat with nutrient periodically pulsed input are studied. A series of new criteria on the boundedness, permanence, extinction, existence of positive periodic solution and global attractivity for the model are established. Finally, an example is given to demonstrate the effectiveness of the results in this paper.
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页数:25
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