Stability analysis and controller design in microbial continuous culture with discrete time delay

2013 ◽  
Vol 60 (4) ◽  
pp. 430-435 ◽  
Author(s):  
Xi Zhu ◽  
Jinggui Gao ◽  
Enmin Feng ◽  
Zhilong Xiu ◽  
Sheng Jin
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Continuous Culture ◽  
Discrete Time ◽  
Controller Design ◽  
Discrete Time Delay

Oscillatory behavior in microbial continuous culture with discrete time delay

2009 ◽  
Vol 10 (5) ◽  
pp. 2749-2757 ◽  
Author(s):  
Hansheng Lian ◽  
Enmin Feng ◽  
Xiaofang Li ◽  
Jianxiong Ye ◽  
Zhilong Xiu
Keyword(s):  
Time Delay ◽  
Continuous Culture ◽  
Discrete Time ◽  
Oscillatory Behavior ◽  
Discrete Time Delay

scholarly journals Stability analysis of an eco-epidemiological model incorporating a prey refuge

2010 ◽  
Vol 15 (4) ◽  
pp. 473-491 ◽  
Author(s):  
A. K. Pal ◽  
G. P. Samanta
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Computer Simulations ◽  
Discrete Time ◽  
Predator Population ◽  
Prey Refuge ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Discrete Time Delay ◽  
The Stability

The present paper deals with the problem of a predator-prey model incorporating a prey refuge with disease in the prey-population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours such as boundedness, permanence, local and global stabilities are addressed. We have also studied the effect of discrete time delay on the model. The length of delay preserving the stability is also estimated. Computer simulations are carried out to illustrate our analytical findings.

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