Stationary distribution of a stochastic food chain chemostat model with general response functions | Zendy

Miaomiao Gao | Zendy; Daqing Jiang | Zendy

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Stationary distribution of a stochastic food chain chemostat model with general response functions

Author(s) -

Miaomiao Gao,

Daqing Jiang

Publication year - 2018

Publication title -

applied mathematics letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.439

H-Index - 93

eISSN - 1873-5452

pISSN - 0893-9659

DOI - 10.1016/j.aml.2018.12.008

Subject(s) - chemostat , mathematics , lyapunov function , stationary distribution , ergodic theory , white noise , food chain , stability (learning theory) , stochastic modelling , distribution (mathematics) , focus (optics) , lyapunov exponent , mathematical optimization , control theory (sociology) , markov chain , mathematical analysis , statistics , computer science , nonlinear system , control (management) , genetics , physics , quantum mechanics , machine learning , artificial intelligence , bacteria , chaotic , optics , biology , paleontology

In this paper, we focus on a food chain chemostat model with general response functions, perturbed by white noise. Under appropriate assumptions, we establish sufficient conditions for the existence of a unique ergodic stationary distribution by using stochastic Lyapunov analysis method. Our main effort is to construct the suitable Lyapunov function.

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