We extend a spatially non-local cross-diffusion model of aggregation between multiple
species with directed motion toward resource gradients to include many species and more …

In this paper, we consider the population models with resource-dependent dispersal for
single-species and two-species with competition. For the single-species model, it is well …

We extend two-species models of individual aggregation or clustering to two-dimensional
spatial domains, allowing for more realistic movement of the populations compared with one …

We study the interaction between different types of dispersal, intrinsic growth rates and
carrying capacities of two competing species in a heterogeneous environment: one of them …

We consider a two-species competition model in which the species have the same
population dynamics but different dispersal strategies. Both species disperse by a …

We study traveling waves in a non-local cross-diffusion-type model, where organisms move
along gradients in population densities. Such models are valuable for understanding waves …

Reaction-diffusion models have been widely used to describe the dynamics of dispersing
populations. However, many organisms disperse in ways that depend on environmental …

We study an individual-based model in which two spatially distributed species,
characterized by different diffusivities, compete for resources. We consider three different …

Motivated by the observation that anomalous diffusion is a realistic feature in the dynamics
of biological populations, we investigate its implications in a paradigmatic model for the …

We study the evolutionary stability of dispersal strategies, including but not limited to those
that can produce ideal free population distributions (that is, distributions where all …