This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

The general aspects of zonal flow physics, their formation, dam** and interplay with quasi
two dimensional turbulence are explained in the context of magnetized plasmas and quasi …

Biological invaders represent one of the primary threats to the maintenance of global
biodiversity, human health, and the success of human economic enterprises. The continuing …

The classical wave-of-advance model of the neolithic transition (ie, the shift from hunter-
gatherer to agricultural economies) is based on Fisher's reaction-diffusion equation. Here …

Differential equations play a vital role in the modeling of physical and engineering problems,
such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other …

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 …

Hyperbolic reaction–diffusion equations have recently attracted attention both for their
application to a variety of biological and chemical phenomena, and for their distinct features …

Forest fire models have been widely studied from the context of self-organized criticality and
from the ecological properties of the forest and combustion. On the other hand, reaction …

A positivity‐preserving nonstandard finite difference scheme is constructed to solve an initial‐
boundary value problem involving heat transfer described by the Maxwell‐Cattaneo thermal …

In this work, we introduce a family of explicit finite-difference schemes to approximate
positive solutions of the classical Fisher–Kolmogorov–Petrovsky–Piscounov equation from …