A space-time state-space model of phytoplankton allelopathy

DOI10.1016/S1468-1218(02)00070-6zbMath1018.92034OpenAlexW1976304248MaRDI QIDQ1870890

Yanyan Li

Publication date: 14 May 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(02)00070-6

zbMATH Keywords

time delayallelopathynonlocal effectsphytoplanktonspatial structures

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability theory for integral equations (45M10) Ecology (92D40)

Related Items (8)

Spatially dependent parameter estimation and nonlinear data assimilation by autosynchronization of a system of partial differential equations ⋮ Effect of time delay on dynamic of plant competition under allelopathy ⋮ Selective harvesting of two competing fish species in the presence of toxicity with time delay ⋮ Effect of toxic substance on delayed competitive allelopathic phytoplankton system with varying parameters through stability and bifurcation analysis ⋮ Mathematical study and optimal control of bioeconomic model concerning harmful dinoflagellate phytoplankton ⋮ Stochastic modeling of phytoplankton allelopathy ⋮ On the dynamical behavior of some algal allelopathic competitions in chemostat-like environment ⋮ The effect of costs associated with toxin production in a competitive system

Cites Work

• Intratrophic predation in simple predator-prey models
• A delay differential equations model of plankton allelopathy
• A predator-prey reaction-diffusion system with nonlocal effects
• Oscillatory behaviour in a three-component plankton population model
• Patchiness in plankton populations
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
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