Stationary distribution and extinction for a food chain chemostat model with random perturbation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6809
Abstract: In this paper, we study the dynamical behavior of a stochastic food chain chemostat model, in which the white noise is proportional to the variables. Firstly, we prove the existence and uniqueness of the global… read more here.
Keywords: chemostat model; stationary distribution; food chain; chain chemostat ... See more keywords
Global Asymptotic Behavior of a Multi-species Stochastic Chemostat Model with Discrete Delays
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09741-6
Abstract: We consider a model of multi-species competition in the chemostat that includes demographic stochasticity and discrete delays. We prove that for any given initial data, there exists a unique global positive solution for the stochastic… read more here.
Keywords: model; multi species; chemostat model; discrete delays ... See more keywords
Competitive Exclusion in a General Multi-species Chemostat Model with Stochastic Perturbations
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-020-00843-7
Abstract: Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic competition chemostat model with general monotonic response functions and differential removal… read more here.
Keywords: competitive exclusion; species chemostat; chemostat model; model ... See more keywords
Hopf bifurcation of a delayed chemostat model with general monotone response functions
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DOI: 10.1007/s40314-017-0476-3
Abstract: In this paper, a chemostat model with general monotone response functions and two discrete time delays is proposed to describe the dynamical behavior about predator–prey system. First, by analyzing the characteristic equation associated with the… read more here.
Keywords: model general; chemostat model; model; general monotone ... See more keywords
Sufficient and necessary conditions for stochastic near-optimal controls: A stochastic chemostat model with non-zero cost inhibiting
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DOI: 10.1016/j.apm.2019.10.013
Abstract: Abstract Near-optimal controls are as important as optimal controls for both theory and applications. Meanwhile, using inhibitor to control harmful microorganisms and ensure maximum growth of beneficial microorganisms (target microorganisms) is a very interesting topic… read more here.
Keywords: near optimal; chemostat model; optimal controls; cost ... See more keywords
Approximation of fractional-order Chemostat model with nonstandard finite difference scheme
Sign Up to like & getrecommendations! Published in 2017 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.20174720337
Abstract: In this paper, the fractional-order form of three dimensional chemostat model with variable yields is introduced. The stability analysis of this fractional system is discussed in detail. In order to study the dynamic behaviours of… read more here.
Keywords: scheme; fractional order; order; chemostat model ... See more keywords