Dynamic Behaviors in a Droop Model for Phytoplankton Growth in a Chemostat with Nutrient Periodically Pulsed Input
Author(s) -
Kai Wang,
Zhidong Teng,
Xueliang Zhang
Publication year - 2012
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2012/843735
Subject(s) - chemostat , voltage droop , phytoplankton , control theory (sociology) , nutrient , extinction (optical mineralogy) , environmental science , biological system , mathematics , computer science , ecology , physics , biology , thermodynamics , optics , power (physics) , genetics , control (management) , artificial intelligence , bacteria , voltage divider
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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