Name
Title | ||
|---|---|---|
Existence and approximation of probability measure solutions to models of collective behaviors |
Abstract | ||
|---|---|---|
In this paper we consider first order differential models of collective behaviors of groups of agents, based on the mass conservation equation. Models are formulated taking the spatial distribution of the agents as the main unknown, expressed in terms of a probability measure evolving in time. We develop an existence and approximation theory of the solutions to such models and we show that some recently proposed models of crowd and swarm dynamics fit our theoretic paradigm. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.3934/nhm.2011.6.561 | NETWORKS AND HETEROGENEOUS MEDIA |
Keywords | Field | DocType |
Systems of interacting agents,probability distribution,continuity equation,nonlocal flux | Mathematical optimization,Continuity equation,Swarm behaviour,Mathematical analysis,First order,Probability measure,Approximation theory,Probability distribution,Conservation of mass,Mathematics | Journal |
Volume | Issue | ISSN |
6 | SP3 | 1556-1801 |
Citations | PageRank | References |
4 | 0.86 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrea Tosin | 1 | 52 | 9.49 |
| Paolo Frasca | 2 | 408 | 35.99 |