In many biological settings it is possible to observe phenomena of pattern formation and clustering by cooperative individuals of a population. In biology and medicine there is a wide spectrum of examples which exhibit collective behavior, leading to self organization, with pattern formation. Aggregation patterns are usually explained in terms of forces, external and/or internal, acting upon individuals. Over the past couple of decades, a large amount of literature has been devoted to the mathematical modelling of self-organizing populations, based on the concepts of short-range/long-range social interaction at the individual level. The main interest has been in catching the main features of the interaction at the lower scale of single individuals that are responsible, at a larger scale, for a more complex behavior that leads to the formation of aggregating patterns.
Long time behavior of a system of stochastic differential equations modelling aggregation / V. Capasso, D. Morale, M. Ortisi - In: Math Everywhere : Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso / [a cura di] G. Aletti, A. Micheletti, D. Morale, M. Burger. - [s.l] : Springer, 2007. - ISBN 9783540444459. - pp. 25-38 (( convegno Workshop on Math Everywhere - Deterministic and Stockastic Modelling in Biomedicine, Economics and Industry tenutosi a Milano nel 2005.
|Titolo:||Long time behavior of a system of stochastic differential equations modelling aggregation|
|Parole Chiave:||granular media; convergence; derivartion; dynamics|
|Settore Scientifico Disciplinare:||Settore MAT/06 - Probabilita' e Statistica Matematica|
|Data di pubblicazione:||2007|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/978-3-540-44446-6_3|
|Tipologia:||Book Part (author)|
|Appare nelle tipologie:||03 - Contributo in volume|
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