A stochastic competition turbidostat system with general response functions of nutrition: Stationary distribution

Xiaojie Mu and Daqing Jiang

Statistics & Probability Letters, 2025, vol. 226, issue C

Abstract: We develop and investigate a stochastic competition turbidostat model with environmental noise and general response functions in this contribution. The contents of the turbidostat model are carried out including the existence and uniqueness of global positive equilibrium and stationary distribution. More concretely, the results of this paper are obtained by establishing an appropriate Lyapunov function. In addition, we exhibit a general method for the existence of stationary distribution of competition turbidostat model with environmental noise and general response function by reducing the dimension of the model. Finally, the numerical simulation further verifies theoretical results.

Keywords: Stochastic competition turbidostat system; Environmental noise; General response functions; Stationary distribution (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110492

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