Periodic solution for the stochastic chemostat with general response function

Liang Wang and Daqing Jiang

Physica A: Statistical Mechanics and its Applications, 2017, vol. 486, issue C, 378-385

Abstract: This paper addresses a stochastic chemostat model with periodic dilution rate and general class of response functions. The general functional response is assumed to satisfy two classifications of conditions, and these assumptions on the functional response are relative weak that are valid for many forms of growth response. For the chemostat with periodic dilution rate, we derive the sufficient criteria for the existence of the stochastic nontrivial positive periodic solution, by utilizing Khasminskii’s theory on periodic Markov process.

Keywords: Stochastic chemostat; General response function; Periodic Markov process; Nontrivial periodic solution (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:486:y:2017:i:c:p:378-385

DOI: 10.1016/j.physa.2017.05.097

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