Neural field models of firing rate activity have had a major impact in helping to develop an
understanding of the dynamics seen in brain slice preparations. These models typically take …

The main purpose of this book was to explain deterministic, age-structured population
dynamics models that appear in demography and epidemiology. The first part of this book …

It is shown that many of the asymptotic properties of the Fisher model for population genetics
and population ecology can also be derived for a class of models in which time is discrete …

The theory of asymptotic speeds of spread and monotone traveling waves is established for
a class of monotone discrete and continuous‐time semiflows and is applied to a functional …

Thresholds and travelling waves for the geographical spread of infection Page 1 J. Math
Biology 6, 109-130 (1978) Journal of B,k by Springer-Verlag 1978 Thresholds and Travelling …

This paper deals with the existence of traveling wave front solutions of reaction-diffusion
systems with delay. A monotone iteration scheme is established for the corresponding wave …

Asymptotic speeds of spread and traveling waves for integral equations and delayed
reaction–diffusion models - ScienceDirect Skip to main contentSkip to article Elsevier logo …

We consider a nonlocal analogue of the Fisher-KPP equation\[u_t= J* u-u+ f (u),~ x\in R,~ f
(0)= f (1)= 0,~ f> 0~\textrm {on}~(0, 1),\] and its discrete counterpart ${\dot u} _n=(J* u) _n …

We study the large-time behaviour of the solution of a nonlinear integral equation of mixed
Volterra-Fredholm type describing the spatio-temporal development of an epidemic. For this …

We consider traveling front and pulse solutions to a system of integro-differential equations
used to describe the activity of synaptically coupled neuronal networks in a single spatial …