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Research Article Open access CC BY 4.0

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?

Sayed Sayari, Miled El Hajji

Asian Research Journal of Mathematics · pp. 1–12 · Published 25 Feb 2019

10.9734/arjom/2019/v12i330085

Abstract

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.

Chemostat model competitive exclusion fractional order Caputo fractional derivative nonlinear growth rate equilibrium points local and global stability.

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