The story of this edition is a testament to an almost legendary gure in theoretical ecology
and to the in uence his work and charisma has had on the eld. It is also a story that can only …

In this note, we specify an" individual-based" continuous-time model for swarm aggregation
in n-dimensional space and study its stability properties. We show that the individuals …

This paper describes continuum models for swarming behavior based on non-local
interactions. The interactions are assumed to influence the velocity of the organisms. The …

In this paper we study the equation\[u_t=\Delta (\phi (u)-\lambda f (u)+\lambda u_t)+ f (u)\] in
a bounded domain of $\mathbb {R}^ d $, $ d\ge 1$, with homogeneous boundary conditions …

An improved understanding of dispersal behavior is needed to predict how populations and
communities respond to habitat fragmentation. Most spatial dynamic theory concentrates on …

To study evolution of conditional dispersal, a Lotka–Volterra reaction–diffusion–advection
model for two competing species in a heterogeneous environment is proposed and …

In this paper, we consider local and non-local spatially explicit mathematical models for
biological phenomena. We show that, when rate differences between fast and slow local …

We consider reaction–diffusion–advection models for spatially distributed populations that
have a tendency to disperse up the gradient of fitness, where fitness is defined as a logistic …

In this paper, we consider a classical two-species Lotka–Volterra competition–diffusion–
advection model with time delay effect. By utilizing the implicit function theorem, we obtain …

The dispersal of organisms is clearly an important aspect of many ecological processes. It
drives biological invasions, allows populations to colonize empty habitats, and allows …