[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 …
[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 …
[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 …
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 …
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 …
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 …
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 …
Statistical mechanics of socio-economic systems with heterogeneous agents
A De Martino, M Marsili - Journal of Physics A: Mathematical and …, 2006 - iopscience.iop.org
We review the statistical mechanics approach to the study of the emerging collective
behaviour of systems of heterogeneous interacting agents. The general framework is …
behaviour of systems of heterogeneous interacting agents. The general framework is …
Towards a mathematical theory of behavioral human crowds
The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …
applications of the dynamics of human crowds, where the specific features of living systems …
Stability of subsystem solutions in agent-based models
M Perc - European Journal of Physics, 2017 - iopscience.iop.org
The fact that relatively simple entities, such as particles or neurons, or even ants or bees or
humans, give rise to fascinatingly complex behaviour when interacting in large numbers is …
humans, give rise to fascinatingly complex behaviour when interacting in large numbers is …