Coexistence in a two species chemostat model with Markov switchings

DOI10.1016/j.aml.2019.03.005zbMath1411.92262OpenAlexW2921530510WikidataQ128243122 ScholiaQ128243122MaRDI QIDQ1739514

Dianli Zhao, Haidong Liu

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.03.005

zbMATH Keywords

extinctionchemostatstationary distributioncoexistenceMarkov switchings

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items (13)

Some generalized Volterra-Fredholm type dynamical integral inequalities in two independent variables on time scale pairs ⋮ Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints ⋮ Lyapunov-type inequalities for second-order boundary value problems with a parameter ⋮ Coexistence in a multi-species chemostat model with Markov switchings ⋮ Dynamical analysis on two stochastic single-species models ⋮ Unnamed Item ⋮ QUADRATIC HARVESTING DOMINATED OPTIMAL STRATEGY FOR A STOCHASTIC SINGLE-SPECIES MODEL ⋮ Some new half-linear integral inequalities on time scales and applications ⋮ Lyapunov-type inequalities for certain higher-order half-linear differential equations ⋮ Lyapunov-type inequalities for higher-order half-linear difference equations ⋮ Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems ⋮ HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS ⋮ A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales

Cites Work

• Threshold behaviour of a stochastic SIR model
• Average break-even concentration in a simple chemostat model with telegraph noise
• Ergodic property of the chemostat: a stochastic model under regime switching and with general response function
• Feedback control for chemostat models
• Asymptotic stability in distribution of stochastic differential equations with Markovian switching.
• Asymptotic Properties of Hybrid Diffusion Systems
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Limit Cycles in a Chemostat-Related Model

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