The evolution of dispersal is a classical question in evolutionary biology, and it has been
studied in a wide range of mathematical models. A selection-mutation model, in which the …

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and
Nonautonomous Parabolic Equations and Applications focuses on the principal spectral …

We consider, for $ N\geq 2$, the system of $ N $ competing species which are ecologically
identical and having distinct diffusion rates $\{D_i\} _ {i= 1}^ N $, in an environment with the …

We consider the oblique derivative problem for linear nonautonomous second order
parabolic equations with bounded measurable coefficients on bounded Lipschitz cylinders …

Harnack inequalities, exponential separation, and perturbations of principal Floquet
bundles for linear parabolic equations Iné Page 1 Ann. IH Poincaré – AN 24 (2007) 711–739 …

This series of papers is concerned with principal Lyapunov exponents and principal Floquet
subspaces of positive random dynamical systems in ordered Banach spaces. The current …

We consider linear nonautonomous second order parabolic equations on bounded domains
subject to Dirichlet boundary condition. Under mild regularity assumptions on the …

For any N≧2, we show that there are choices of diffusion rates {d_i\}_i=1^N such that for N
competing species which are ecologically identical and have distinct diffusion rates, the …

The current paper is devoted to the investigation of asymptotic dynamics in random
Kolmogorov models. Applying the theory of principal Lyapunov exponents and the principal …

This is the third part in a series of papers concerned with principal Lyapunov exponents and
principal Floquet subspaces of positive random dynamical systems in ordered Banach …