Stochastic modeling of algal bloom dynamics with delayed nutrient recycling

DOI10.3934/mbe.2019001zbMath1497.92346OpenAlexW2903330699WikidataQ91183796 ScholiaQ91183796MaRDI QIDQ2160543

Tonghua Zhang, Xuehui Ji, Sanling Yuan, Huai-Ping Zhu

Publication date: 3 August 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019001

zbMATH Keywords

Lyapunov functionspectral densityItô's formuladiscrete Markov chaindelayed stochastic nutrient-algae model

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ecology (92D40)

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Cites Work

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• A mathematical model of the effect of nitrogen and phosphorus on the growth of blue-green algae population
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• Modelling algal densities in harmful algal blooms (HAB) with stochastic dynamics
• Stability in chemostat equations with delayed recycling
• Global stability in chemostat-type plankton models with delayed nutrient recycling
• Stochastic modeling of phytoplankton allelopathy
• Exclusion and persistence in deterministic and stochastic chemostat models
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

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