1998Unpublished venueRequires access

Coexistence state of competition model in chemostat

Jianhua Wu

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Abstract

The structure of the non-negative steady-state solutions of a system of reaction diffusion equations arising in the chemostat is investigated. The ranges of parameters for the coexistence of steady-state solutions are given by the theorem of global bifurcation and maximal principle. The global structure of the coexistence solutions is completely obtained. Partial stability is also established.

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What this paper is about

The structure of the non-negative steady-state solutions of a system of reaction diffusion equations arising in the chemostat is investigated. The ranges of parameters for the coexistence of steady-state solutions are given by the theorem of global bifurcation and maximal principle. The global structure of the coexistence solutions is completely obtained. Partial stability is also established.

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Available abstract

The structure of the non-negative steady-state solutions of a system of reaction diffusion equations arising in the chemostat is investigated. The ranges of parameters for the coexistence of steady-state solutions are given by the theorem of global bifurcation and maximal principle. The global structure of the coexistence solutions is completely obtained. Partial stability is also established.

Key concepts: Chemostat, Steady state (chemistry), Mathematics, Competition model, Bifurcation, Stability (learning theory), Reaction–diffusion system, State (computer science)

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