Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics
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Publication:1172574
DOI10.1007/BF00275157zbMath0501.92020OpenAlexW2048251033WikidataQ113909352 ScholiaQ113909352MaRDI QIDQ1172574
Publication date: 1982
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00275157
global stabilitynonlinear diffusion equationstationary solutionsphytoplankton growth dynamicsself-shading effect
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Population dynamics (general) (92D25)
Related Items (22)
Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Catastrophic shifts in vertical distributions of phytoplankton. The existence in a bifurcation set ⋮ A MATHEMATICAL MODEL FOR PHYTOPLANKTON ⋮ Phytoplankton depth profiles and their transitions near the critical sinking velocity ⋮ A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species ⋮ Self- and mutual shading effect on competing algal distribution ⋮ Dynamics induced by delay in a nutrient-phytoplankton model with multiple delays ⋮ Concentration phenomenon of single phytoplankton species with changing-sign advection term ⋮ Existence and nonexistence of positive steady states in multi-species phytoplankton dynamics ⋮ The Role of Advection in a Two-Species Competition Model: A Bifurcation Approach ⋮ Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model ⋮ Concentration phenomenon in a nonlocal equation modeling phytoplankton growth ⋮ A dynamical approach to phytoplankton blooms ⋮ Effects of competition and shading in planktonic communities ⋮ Multiple steady-states in phytoplankton population induced by photoinhibition ⋮ Algae‐Light Interaction: Study Of An Approximated Model And Asymptotic Analysis ⋮ Mutual shading effect on algal distribution: a nonlinear problem ⋮ Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection ⋮ Competitive exclusion in phytoplankton communities in a eutrophic water column ⋮ Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications ⋮ Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations ⋮ Bifurcation analysis of solutions to a nonlocal phytoplankton model under photoinhibition
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