Stochastic modeling of phytoplankton allelopathy

DOI10.1016/j.apm.2013.08.031zbMath1427.92100OpenAlexW1983540098MaRDI QIDQ1994474

Malay Banerjee, Linda J. S. Allen, Partha Sarathi Mandal

Publication date: 1 November 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.08.031

zbMATH Keywords

allelopathystochastic modelphytoplankton

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Ecology (92D40)

Related Items (13)

Noise-induced extinction for a ratio-dependent predator-prey model with strong Allee effect in prey ⋮ Stochastic modeling of algal bloom dynamics with delayed nutrient recycling ⋮ Plankton growth dynamic driven by plankton body size in deterministic and stochastic environments ⋮ The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching ⋮ STOCHASTIC MODELING OF PHYTOPLANKTON–ZOOPLANKTON INTERACTIONS WITH TOXIN PRODUCING PHYTOPLANKTON ⋮ A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity ⋮ A MATHEMATICAL MODEL OF A PREY-PREDATOR TYPE FISHERY IN THE PRESENCE OF TOXICITY WITH FUZZY OPTIMAL HARVESTING ⋮ Dynamics of a nutrient-phytoplankton model with random phytoplankton mortality ⋮ Dynamical analysis of a stochastic toxin-producing phytoplankton-fish system with harvesting ⋮ Approximate adaptive uniformization of continuous-time Markov chains ⋮ STOCHASTICITY AND COOPERATIVE HUNTING IN PREDATOR–PREY INTERACTIONS ⋮ IMPACT OF NOISE IN A PHYTOPLANKTON-ZOOPLANKTON SYSTEM ⋮ A comparison of deterministic and stochastic plant-vector-virus models based on probability of disease extinction and outbreak

Cites Work

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• Modeling with Itô Stochastic Differential Equations
• Construction of Equivalent Stochastic Differential Equation Models
• DYNAMICAL ANALYSIS OF A ALLELOPATHIC PHYTOPLANKTON MODEL
• Solutions of ordinary differential equations as limits of pure jump markov processes
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