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In this paper, a fractional-order mathematical model for n species competing, in a chemostat, for a single resource is proposed. The global dynamics was studied using Lyapunov theory, for any set of increasing growth functions. Obtained results generalize and improve the well-known competitive exclusion principle in the chemostat, that one species will eliminate all other species.

asian research journal of mathematics

How the Fractional-order Improve and Extend the Well-known Competitive Exclusion Principle in the Chemostat Model with n Species Competing for a Single Resource?