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?

Main Article Content

Sayed Sayari
Miled El Hajji

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.

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

Article Details

How to Cite
Sayari, S., & Hajji, M. E. (2019). 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?. Asian Research Journal of Mathematics, 12(3), 1-12. https://doi.org/10.9734/arjom/2019/v12i330085
Section
Original Research Article