Our aim is to propose a theory which goes beyond the classical formulation of
thermodynamics. This is achieved by enlarging the space of basic independent variables …

We study he asymptotic behaviour as t→+∞ of the solutions of an abstract fractional
equation u= u0+∂− αAu+ g, 1< α< 2, where A is a linear operator of sectorial type. We also …

We review the recent theoretical progress in the formulation and solution of the front speed
problem for time-delayed reaction-diffusion systems. Most of the review is focused on …

We discuss a nonlinear model of the spatial–time interaction among populations which
reproduction and intensity of interaction depend on their spatial density. For the particular …

In this paper we study numerical methods for solving integro-differential equations which
generalize the well-known Fisher equation. The numerical methods are obtained …

The book provides an introduction to deterministic (and some stochastic) modeling of
spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the …

In a previous paper [J. Fort and V. Méndez, Phys. Rev. Lett. 82, 867 (1999)], the possible
importance of higher-order terms in a human population wave of advance has been studied …

We present a model in which particles (or individuals of a biological population) disperse
with a rest time between consecutive motions (or migrations) which may take several …

We investigate the behavior of five hyperbolic reaction-diffusion equations most commonly
employed to describe systems of interacting organisms or reacting particles where dispersal …

The asymptotic speed problem of front solutions to hyperbolic reaction-diffusion (HRD)
equations is studied in detail. We perform linear and variational analyses to obtain bounds …