Allee effect that refers to a positive relationship between individual fitness and population
density provides an important conceptual framework in conservation biology. While …

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 …

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 diffusive predator–prey system with Holling type-II predator functional response subject to
Neumann boundary conditions is considered. Hopf and steady state bifurcation analysis are …

This paper proves the global existence and boundedness of solutions to a general reaction–
diffusion predator–prey system with prey-taxis defined on a smooth bounded domain with no …

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 …

We investigate the emergence of spatio-temporal patterns in ecological systems. In
particular, we study a generalized predator–prey system on a spatial domain. On this …

The dynamics of a reaction–diffusion predator–prey system with strong Allee effect in the
prey population is considered. Nonexistence of nonconstant positive steady state solutions …

We present two finite-difference algorithms for studying the dynamics of spatially extended
predator–prey interactions with the Holling type II functional response and logistic growth 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 …