An interacting particle system modelling aggregation behavior: from individuals to populations
D Morale, V Capasso, K Oelschläger - Journal of mathematical biology, 2005 - Springer
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 …
population subject to social interaction. The biological motivation comes from the analysis of …
On an aggregation model with long and short range interactions
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 …
on individuals subject to long range attraction and short range repulsion, in addition to a …
The importance of being discrete (and spatial)
We consider and compare four approaches to modeling the dynamics of spatially distributed
systems: mean field approaches (described by ordinary differential equations) in which …
systems: mean field approaches (described by ordinary differential equations) in which …
Individual based model with competition in spatial ecology
D Finkelshtein, Y Kondratiev, O Kutoviy - SIAM journal on mathematical …, 2009 - SIAM
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 …
We have shown that a local competition mechanism (realized via a density dependent …
[HTML][HTML] Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics
G Albi, L Pareschi - Applied Mathematics Letters, 2013 - Elsevier
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 …
have to deal with the presence of external agents such as predators or leaders that modify …
Translating stochastic density-dependent individual behavior with sensory constraints to an Eulerian model of animal swarming
D Grünbaum - Journal of mathematical biology, 1994 - Springer
Density-dependent social behaviors such as swarming and schooling determine spatial
distribution and patterns of resource use in many species. Lagrangian (individual-based) …
distribution and patterns of resource use in many species. Lagrangian (individual-based) …
[图书][B] Interacting multiagent systems: kinetic equations and Monte Carlo methods
L Pareschi, G Toscani - 2013 - books.google.com
The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …
composed of large numbers of individuals has gained increasing interest from various …
Methods of aggregation of variables in population dynamics
P Auger, RB de la Parra - Comptes Rendus de l'Académie des Sciences …, 2000 - Elsevier
In ecology, we are faced with modelling complex systems involving many variables
corresponding to interacting populations structured in different compartmental classes, ages …
corresponding to interacting populations structured in different compartmental classes, ages …
Emergence of population growth models: fast migration and slow growth
P Auger, JC Poggiale - Journal of Theoretical Biology, 1996 - Elsevier
We present aggregation and emergence methods in large-scale dynamical systems with
different timescales. Aggregation corresponds to the reduction of the dimension of a …
different timescales. Aggregation corresponds to the reduction of the dimension of a …
Swarming patterns in a two-dimensional kinematic model for biological groups
CM Topaz, AL Bertozzi - SIAM Journal on Applied Mathematics, 2004 - SIAM
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 …
interactions and study its pattern-forming behavior. The model takes the form of a …