Periodic travelling waves have been reported in a number of recent spatio-temporal field
studies of populations undergoing multi-year cycles. Mathematical modelling has a major …

Abstract Models of neural networks are developed from a biological point of view. Small
networks are analysed using techniques from dynamical systems. The behaviour of spatially …

We present an experimental observation of an oscillating Kerr cavity soliton, ie, a time-
periodic oscillating one-dimensional temporally localized structure excited in a driven …

The dynamics of a simple prey–predator system is described by a system of two reaction-
diffusion equations with biologically reasonable non-linearities (logistic growth of the prey …

In this paper a mathematical model describing the growth of a solid tumour in the presence
of an immune system response is presented. In particular, attention is focused upon the …

The dynamics of interacting ecological populations results from the interplay between
various deterministic and stochastic factors and this is particularly the case for the …

We discuss a variety of experimental and theoretical studies of localized stationary spots,
oscillons, and localized oscillatory clusters, moving and breathing spots, and localized …

Stationary and oscillatory localized patterns (oscillons) are found in the Belousov-
Zhabotinsky reaction dispersed in Aerosol OT water-in-oil microemulsion. The experimental …

Mathematical and computational models for the propagation of activity in excitatorily coupled
neurons are simulated and analyzed. The basic measurable quantity—velocity—is found for …

Mesoscale cortical activity can be defined as the organization of activity of large neuron
populations into collective action, forming time-dependent patterns such as traveling waves …