Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model
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Publication:4633488
DOI10.1137/18M1221588zbMath1421.35384WikidataQ127963998 ScholiaQ127963998MaRDI QIDQ4633488
King-Yeung Lam, Dan-Hua Jiang, Yuan Lou, Zhi-Cheng Wang
Publication date: 3 May 2019
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
maximum principlecomparison principlemonotone dynamical systemsphytoplanktonnonlocal reaction-diffusion equations
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Comparison principles in context of PDEs (35B51)
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Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Dynamics for a two-phase free boundary system in an epidemiological model with couple nonlocal dispersals ⋮ Interactions Between Pelagic and Benthic Producers: Asymmetric Competition for Light and Nutrients ⋮ Concentration phenomenon of single phytoplankton species with changing-sign advection term ⋮ Effects of diffusion and advection on predator-prey dynamics in closed environments ⋮ Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment ⋮ Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach ⋮ Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion ⋮ Competitive exclusion in phytoplankton communities in a eutrophic water column ⋮ On the Evolution of Slow Dispersal in MultiSpecies Communities ⋮ A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column ⋮ Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion ⋮ 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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