4.1 Article

On the modelling of space dynamics in the kinetic theory for active particles

Journal

MATHEMATICAL AND COMPUTER MODELLING
Volume 51, Issue 1-2, Pages 72-83

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2009.08.044

Keywords

Living systems; Open systems; Random walk; Functional subsystems; Discrete variables; Diffusion

Funding

  1. European Union [FP7-HEALTH-F4-2008-202047]

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This paper proposes an analysis of the modelling of space dynamics focused on a general class of models of the kinetic theory for active particles in space homogeneity. Various deterministic and stochastic developments are treated and referred to specific applications. These new classes of equations present different aspects of hybrid characteristic coupling deterministic and stochastic structures, as well as continuous and discrete variables, and constitute a background paradigm for the derivation of models whose qualitative properties are analyzed referring to modelling of complex systems in life and applied sciences. (C) 2009 Elsevier Ltd. All rights reserved.

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