Stationary distribution of a chemostat model with distributed delay and stochastic perturbations

In this paper, we consider a Lotka-Volterra food chain chemostat model that incorporates both distributed delay and stochastic perturbations. We obtain sufficient conditions for the existence of stationary distribution by constructing suitable Lyapunov functions. Stationary distribution indicates the two species in the chemostat can coexist in the long term. (C) 2021 Published by Elsevier Ltd.

Automated summary

This paper considers a Lotka-Volterra food chain chemostat model with distributed delay and stochastic perturbations, obtaining conditions for the existence of a stationary distribution where two species can coexist in the long term.