scholarly journals Global stability for a chemostat-type model with delayed nutrient recycling

2004 ◽  
Vol 4 (3) ◽  
pp. 663-670 ◽  
Author(s):  
Zhiqi Lu ◽  
Keyword(s):  
Global Stability ◽  
Nutrient Recycling ◽  
Type Model

scholarly journals Periodic Oscillations in a Chemostat Model with Two Discrete Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Tiansi Zhang ◽  
Xuehui Ji ◽  
Bo Li
Keyword(s):  
Nutrient Recycling ◽  
Type Model ◽  
Positive Equilibrium ◽  
Chemostat Model ◽  
Periodic Oscillations ◽  
System A ◽  
Limiting Nutrient ◽  
Discrete Delays ◽  
Linearized System ◽  
Theoretical Results

Periodic oscillations of solutions of a chemostat-type model in which a species feeds on a limiting nutrient are considered. The model incorporates two discrete delays representing the lag in nutrient recycling and nutrient conversion. Through the study of characteristic equation associated with the linearized system, a unique positive equilibrium is found and proved to be locally asymptotically stable under some conditions. Meanwhile, a Hopf bifurcation causing periodic solutions is also obtained. Numerical simulations illustrate the theoretical results.

Flight Control of a Twin-Rotor Type Model Helicopter Based on First-Order Approximate Linearization

2014 ◽  
Vol 134 (9) ◽  
pp. 1269-1270 ◽  
Author(s):  
Hiroki Noma ◽  
Shun Tanabe ◽  
Takao Sato ◽  
Nozomu Araki ◽  
Yasuo Konishi
Keyword(s):  
Flight Control ◽  
Type Model ◽  
First Order ◽  
Model Helicopter ◽  
Approximate Linearization ◽  
Twin Rotor ◽  
Rotor Type

QUASI-ONE-DIMENSIONAL SEPARATION TYPE MODEL OF PSEUDO-SHOCK IN A DUCT

2013 ◽  
Vol 44 (5) ◽  
pp. 639-664 ◽  
Author(s):  
Evgeniy Aleksandrovich Meshcheryakov ◽  
Violetta Vasilievna Yashina
Keyword(s):  
Type Model ◽  
One Dimensional
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