This paper discusses the recent progress in understanding the properties of transient
dynamics in complex ecological systems. Predicting long-term trends as well as sudden …

The theory of reaction–diffusion waves begins in the 1930s with the works in population
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …

Biological invasions are increasingly commonplace, driven primarily by the accidental
human transport of exotic species via shipping or trade. The economic impacts can be …

A significant part of this book is based on a graduate course on pattern formation which I
have been teaching during the past two decades in the Physics Department at Ben-Gurion …

In this paper, we show that under suitable simple assumptions the classical two populations
system may exhibit unexpected behaviors. Considering a more elaborated social model, in …

Global bifurcation analysis of a class of general predator–prey models with a strong Allee
effect in prey population is given in details. We show the existence of a point-to-point …

If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

Ocean dynamics is known to have a strong effect on the global climate change and on the
composition of the atmosphere. In particular, it is estimated that about 70% of the …

The pattern formation process is closely associated with a class of reaction-diffusion
problems arising in mathematical biology and chemistry which has generated a lot of …

In this paper we explore the dynamics of a one-dimensional Keller–Segel type model for
chemotaxis incorporating a logistic cell growth term. We demonstrate the capacity of the …