Ultimate boundedness of a stochastic chemostat model with periodic nutrient input and discrete delay

Xiaofeng Zhang

Chaos, Solitons & Fractals, 2023, vol. 175, issue P1

Abstract: Stochastically ultimate boundedness is a very important property, which plays an important role in the study of stochastic models. Especially, for the stochastic biological mathematical model with discrete delay, we urgently need to solve this problem through some new mathematical methods. Thus, in this paper, we will study a stochastic periodic chemostat system with discrete delay, and we assume that the nutrient input concentration and noise intensities are periodic. In order to make the stochastic periodic model with discrete delay have mathematical and biological significance, we will study a very important issue: the existence, uniqueness and ultimate boundedness of a global positive solution.

Keywords: Stochastic chemostat model; Discrete delay; Periodic; Ultimate boundedness; Lyapunov functional (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008573

DOI: 10.1016/j.chaos.2023.113956

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