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Generalized Beddington model with the host subject to the Allee Effect

100%
Ufuktepe U., Kapcak S.
Open Physics
|
2015
|
vol. 13
|
issue 1
EN
We investigate the stability and invariant manifolds of generalized Beddington model with the host population subject to the Allee effect.We obtain the condition for the existence of the fixed points and investigate the stability of the system.
2
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Nonlinear Dynamics of a Controlled Stirred Tank Bioreactor With Predator-Prey Relationship

100%
Tabiś B., Skoneczny S., Stryjewski W. S.
Chemical and Process Engineering
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2014
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vol. 35
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issue 3
349-360
EN
The paper presents the dynamic characteristics of a continuous tank bioreactor for microbiological process, with a developed predator-prey food chain. The presence of the predator microorganism considerably influences the position and stability character of steady-states. There appears to exist a wide range of unstable steady-states and high-amplitude oscillations of state variables. Without automatic control, the system can operate only in unsteady conditions. From technological point of view, this circumstance is unfavorable. It was shown that oscillations can be removed by employing automatic control with continuous P or PI controllers. Moreover, the use of a controller with integrating element causes removal of the predator from the bioreactor. The paper discusses an application of this phenomenon for practical purposes.
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Nonlinear Dynamics of a Controlled Stirred Tank Bioreactor With Predator-Prey Relationship

86%
Tabiś B., Skoneczny S., Stryjewski W. S.
Chemical and Process Engineering
|
2014
|
issue 3
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