In this paper we investigate the stochastic modelling of a spatially structured biological
population subject to social interaction. The biological motivation comes from the analysis of …

In recent papers the authors had proposed a stochastic model for swarm aggregation, based
on individuals subject to long range attraction and short range repulsion, in addition to a …

We consider and compare four approaches to modeling the dynamics of spatially distributed
systems: mean field approaches (described by ordinary differential equations) in which …

We analyze an interacting particle system with a Markov evolution of birth-and-death type.
We have shown that a local competition mechanism (realized via a density dependent …

In nature, self-organized systems such as flocks of birds, schools of fish and herds of sheep
have to deal with the presence of external agents such as predators or leaders that modify …

Density-dependent social behaviors such as swarming and schooling determine spatial
distribution and patterns of resource use in many species. Lagrangian (individual-based) …

The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

In ecology, we are faced with modelling complex systems involving many variables
corresponding to interacting populations structured in different compartmental classes, ages …

We present aggregation and emergence methods in large-scale dynamical systems with
different timescales. Aggregation corresponds to the reduction of the dimension of a …

We construct a continuum model for the motion of biological organisms experiencing social
interactions and study its pattern-forming behavior. The model takes the form of a …