Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay

DOI10.1137/20M1378065zbMath1483.35292OpenAlexW3212245162MaRDI QIDQ5018867

Sue Ann Campbell, Francis J. Poulin, Yiwen Tao

Publication date: 24 December 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1378065

zbMATH Keywords

stabilitydiffusionbifurcationspatio-temporal delayplankton

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Plant biology (92C80) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)

Related Items (3)

Nilpotent singularities and periodic perturbation of a \(GI \beta\) model: a pathway to glucose disorder ⋮ Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion ⋮ Double Hopf bifurcation induced by spatial memory in a diffusive predator-prey model with Allee effect and maturation delay of predator

Cites Work

• Unnamed Item
• Stability analysis of a reaction-diffusion equation with spatiotemporal delay and Dirichlet boundary condition
• Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Stability in chemostat equations with delayed recycling
• Global stability in chemostat-type plankton models with delayed nutrient recycling
• Parameter domains for instability of uniform states in systems with many delays
• Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations
• Bifurcation theory. An introduction with applications of PDEs
• Complete global analysis of a diffusive NPZ model with age structure in zooplankton
• A predator-prey reaction-diffusion system with nonlocal effects
• The stability and bifurcation of homogeneous diffusive predator-prey systems with spatio-temporal delays
• A closed NPZ model with delayed nutrient recycling
• Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure
• Quasilinear parabolic and elliptic systems with mixed quasimonotone functions
• Spatial movement with distributed memory
• An NPZ Model with State-Dependent Delay Due to Size-Structure in Juvenile Zooplankton
• On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
• Emergence of steady and oscillatory localized structures in a phytoplankton–nutrient model
• Simulating, Analyzing, and Animating Dynamical Systems
• Global Stability in Chemostat-Type Competition Models with Nutrient Recycling
• Global Stability in Chemostat-Type Equations with Distributed Delays
• Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
• Single Phytoplankton Species Growth with Light and Advection in a Water Column
• On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth

This page was built for publication: Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay