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2013•Basic Sciences Journal of Textile UniversitiesRequires access

Global bifurcation for a competition model in the unstirred chemostat with the C-M functional response

Huang Zheng-yan

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Abstract

A competition model in the unstirred chemostat with the C-M functional response in N-dimensional case is studied.The existence and stability of the nonnegative-nontrivial steady-state solution are discussed by the theorem of local bifurcation,and the global structure of the system is analyzed by using the theorem of global bifurcation.These results indicate that the two species of microorganism can coexist when suitable parameters are selected.

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What this paper is about

A competition model in the unstirred chemostat with the C-M functional response in N-dimensional case is studied.The existence and stability of the nonnegative-nontrivial steady-state solution are discussed by the theorem of local bifurcation,and the global structure of the system is analyzed by using the theorem of global bifurcation.These results indicate that the two species of microorganism can coexist when suitable parameters are selected.

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Available abstract

A competition model in the unstirred chemostat with the C-M functional response in N-dimensional case is studied.The existence and stability of the nonnegative-nontrivial steady-state solution are discussed by the theorem of local bifurcation,and the global structure of the system is analyzed by using the theorem of global bifurcation.These results indicate that the two species of microorganism can coexist when suitable parameters are selected.

Key concepts: Chemostat, Bifurcation, Mathematics, Stability (learning theory), Steady state (chemistry), Competition model, Functional response, Competition (biology)

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