[图书][B] Modeling complex living systems: a kinetic theory and stochastic game approach
N Bellomo - 2008 - books.google.com
Using tools from mathematical kinetic theory and stochastic game theory, this work deals
with the modeling of large complex systems in the applied sciences, particularly those …
with the modeling of large complex systems in the applied sciences, particularly those …
[图书][B] Mathematical modeling of collective behavior in socio-economic and life sciences
Mathematical modeling using dynamical systems and partial differential equations is now
playing an increasing role in the understanding of complex multi-scale phenomena …
playing an increasing role in the understanding of complex multi-scale phenomena …
From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences
ML Bertotti, M Delitala - … Models and Methods in Applied Sciences, 2004 - World Scientific
This paper deals with some methodological aspects related to the discretization of a class of
integro-differential equations modelling the evolution of the probability distribution over the …
integro-differential equations modelling the evolution of the probability distribution over the …
[图书][B] A quest towards a mathematical theory of living systems
This book is devoted to the design of a unified mathematical approach to the modeling and
analysis of large systems constituted by several interacting living entities. It is a challenging …
analysis of large systems constituted by several interacting living entities. It is a challenging …
Complexity analysis and mathematical tools towards the modelling of living systems
N Bellomo, C Bianca, M Delitala - Physics of Life Reviews, 2009 - Elsevier
This paper is a review and critical analysis of the mathematical kinetic theory of active
particles applied to the modelling of large living systems made up of interacting entities. The …
particles applied to the modelling of large living systems made up of interacting entities. The …
What is life? A perspective of the mathematical kinetic theory of active particles
The modeling of living systems composed of many interacting entities is treated in this paper
with the aim of describing their collective behaviors. The mathematical approach is …
with the aim of describing their collective behaviors. The mathematical approach is …
On the difficult interplay between life," complexity", and mathematical sciences
This paper presents a revisiting, with developments, of the so-called kinetic theory for active
particles, with the main focus on the modeling of nonlinearly additive interactions. The …
particles, with the main focus on the modeling of nonlinearly additive interactions. The …
[图书][B] Active Particles, Volume 1: Advances in Theory, Models, and Applications
This volume collects ten surveys on the modeling, simulation, and applications of active
particles using methods ranging from mathematical kinetic theory to nonequilibrium …
particles using methods ranging from mathematical kinetic theory to nonequilibrium …
[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 …
On the modeling of crowd dynamics: Looking at the beautiful shapes of swarms
N Bellomo, A Bellouquid - Networks and Heterogeneous Media, 2011 - aimsciences.org
This paper presents a critical overview on the modeling of crowds and swarms and focuses
on a modeling strategy based on the attempt to retain the complexity characteristics of …
on a modeling strategy based on the attempt to retain the complexity characteristics of …