Title :
The Permanence of a Resource-Population Chemostat Model with Seasonality
Author :
Guo Min ; Pei Yongzhen ; Li Changguo ; Zhong Min
Author_Institution :
Sch. of Sci., Tianjin Polytech. Univ., Tianjin, China
Abstract :
An impulsive delayed chemostat model with seasonality is formulated and analyzed. By introducing two thresholds, we obtain sufficient conditions for permanence of the system. It is shown that the conditions depend on time delay for the permanence of the model. Numerical results show that the system we considered has complex dynamics and the results we obtained conform to the fact of biological conservation.
Keywords :
chemical engineering; delays; laboratory techniques; biological conservation; complex dynamics; impulsive delayed chemostat model; resource population chemostat model; seasonality; time delay; Analytical models; Biological system modeling; Delay effects; Mathematical model; Microorganisms; Numerical models; Numerical simulation;
Conference_Titel :
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-0859-6
DOI :
10.1109/ICCASE.2011.5997533
