Name
Title | ||
|---|---|---|
Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles |
Abstract | ||
|---|---|---|
This paper deals with the modelling of large systems of interacting individuals characterized by a microscopic state which includes both mechanical and socio-biological activities. The first part of the paper is devoted to the derivation and critical analysis of the modelling of microscopic equations and subsequently of the derivation of evolution equations. The second part analyzes how these mathematical structures can be properly used to model a variety of models in different fields of applied sciences: traffic flow, population dynamics, biology. Some research perspectives are analyzed in the last part of the paper. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.mcm.2005.01.039 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
population models,microscopic equation,active particle,paper deal,complex system,traffic flow,microscopic state,applied science,different field,evolution equation,interacting individual,kinetic theory,critical analysis,mathematical kinetic theory,nonlinearity,last part,part analyzes,biological activity,population model,population dynamic | Statistical physics,Complex system,Continuous modelling,Population,Traffic flow,Nonlinear system,Mathematical structure,Mathematical analysis,Mathematics,Calculus,Applied science | Journal |
Volume | Issue | ISSN |
43 | 11-12 | Mathematical and Computer Modelling |
Citations | PageRank | References |
6 | 0.92 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| E. De Angelis | 1 | 10 | 2.61 |
| M. Delitala | 2 | 25 | 6.53 |