Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications

Eigenvalue Problems for a Cooperative System with a Large Parameter

(2016) Daniel Daners   ADVANCED NONLINEAR STUDIES

Long-time behavior of a cooperative periodic-parabolic system: temporal degeneracy versus spatial degeneracy

(2014) Rui Peng   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Some paradoxical effects of the advection on a class of diffusive equations in Ecology

(2014) David Aleja et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Qualitative Analysis of a Cooperative Reaction-Diffusion System in a Spatiotemporally Degenerate Environment

(2014) Pablo Álvarez-Caudevilla et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications

(2013) Xinfu Chen et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation

(2013) Yihong Du et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

The effects of transport on the maximum principle

(2013) Julián López-Gómez et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Geometrical Structure of Laplacian Eigenfunctions

(2013) D. S. Grebenkov et al.   SIAM REVIEW

A reaction–diffusion SIS epidemic model in a time-periodic environment

(2012) Rui Peng et al.   NONLINEARITY

The periodic logistic equation with spatial and temporal degeneracies

(2012) Yihong Du et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

On the least point of the spectrum of certain cooperative linear systems with a large parameter

(2010) E.N. Dancer   JOURNAL OF DIFFERENTIAL EQUATIONS

On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics

(2010) Yihong Du et al.   NONLINEARITY

Photoinhibition and the assembly of light-limited phytoplankton communities

(2010) Daan J. Gerla et al.   OIKOS

Single Phytoplankton Species Growth with Light and Advection in a Water Column

(2010) Sze-Bi Hsu et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth

(2010) Yihong Du et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

An alternative approach to the Faber–Krahn inequality for Robin problems

(2009) Dorin Bucur et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

On the principal eigenvalue of linear cooperating elliptic systems with small diffusion

(2009) E. N. Dancer   JOURNAL OF EVOLUTION EQUATIONS

Vertical distribution and composition of phytoplankton under the influence of an upper mixed layer

(2009) Alexei B. Ryabov et al.   JOURNAL OF THEORETICAL BIOLOGY

The principal eigenvalue of a space–time periodic parabolic operator

(2008) Gregoire Nadin   ANNALI DI MATEMATICA PURA ED APPLICATA

Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model

(2008) Xinfu Chen et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Phytoplankton depth profiles and their transitions near the critical sinking velocity

(2008) Theodore Kolokolnikov et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton I: Existence

(2008) Yihong Du et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton II: Limiting Profile

(2008) Yihong Du et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Exponential separation and principal Floquet bundles for linear parabolic equations on general bounded domains: Nondivergence case

(2008) Juraj Húska   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Uniqueness in the Faber–Krahn Inequality for Robin Problems

(2007) Daniel Daners et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS