Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses
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- 作者：R. Fekih-Salem ; a ; d ; radhouene.fekihsalem@isima.rnu.tn" class="auth_mail" title="E-mail the corresponding author ; Radhouane.FEKIH-SALEM@umons.ac.be" class="auth_mail" title="E-mail the corresponding author ; A. Rapaportb ; e ; alain.rapaport@montpellier.inra.fr" class="auth_mail" title="E-mail the corresponding author ; T. Saric ; f ; tewfik.sari@irstea.fr" class="auth_mail" title="E-mail the corresponding author
- 关键词：Chemostat ; Flocculation ; Bi-stability ; Coexistence ; Hopf bifurcation ; Limit cycle
- 刊名：Applied Mathematical Modelling
- 出版年：2016
- 出版时间：September 2016
- 年：2016
- 卷：40
- 期：17-18
- 页码：7656-7677
- 全文大小：2652 K
文摘
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A flocculation model of two microbial species in a chemostat is presented.
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Flocculation mechanism and substrate inhibition can lead to oscillations.
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The bifurcation analysis is performed according to control parameters.
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We show the occurrence of limit cycles through Hopf bifurcations.