Stability analysis of mathematical model of competition in a chain of chemostats in series with delay

Frederic Mazenc (1, 2) , Silviu-Iulian Niculescu (1, 2) , Gonzalo Robledo (3)

1 L2S - Laboratoire des signaux et systèmes
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 DIM - Departamento de Ingeniera Matematica [Santiago]

We study a nonlinear system of differential delay equations describing a model of a chain of two chemostats, where one contains two microbial species in competition for a single limiting nutrient and receives an external input of the less advantaged competitor, which is cultivated in an external chemostat. We obtain sufficient conditions ensuring coexistence of all the species in competition which consist in upper delay bounds. © 2019 Elsevier Inc.

Keywords: Chemostat; Competitive exclusion; Delay equations; Lyapunov functions

Domains: Computer Science [cs]; Automatic Control Engineering

Frederic Mazenc, Silviu-Iulian Niculescu, Gonzalo Robledo. Stability analysis of mathematical model of competition in a chain of chemostats in series with delay. Applied Mathematical Modelling, 2019, 76, pp.311-329. ⟨10.1016/j.apm.2019.06.006⟩. ⟨hal-02328851⟩