HYBRID TWO SCALES MATHEMATICAL TOOLS FOR ACTIVE PARTICLES MODELLING COMPLEX SYSTEMS WITH LEARNING HIDING DYNAMICS-Reference-Cited by-同舟云学术

HYBRID TWO SCALES MATHEMATICAL TOOLS FOR ACTIVE PARTICLES MODELLING COMPLEX SYSTEMS WITH LEARNING HIDING DYNAMICS

Published:2007-02 Issue:02 Volume:17 Page:171-187
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

CATTANI C.¹,CIANCIO A.²

Affiliation:

1. DiFarma, University of Salerno, Via Ponte Don Melillo, 84084 I-Fisciano (SA), Italy

2. Department of Mathematics, University of Messina, Salita Sperone 31, 98166 I-Messina, Italy

Abstract

This paper deals with the derivation of hybrid mathematical structures to describe the behavior of large systems of active particles by ordinary differential equations with stochastic coefficients whose evolution is modelled by equations of the mathematical kinetic theory. A preliminary analysis shows how the above tools can be used to model complex systems of interest in applied sciences, with special attention to the immune competition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202507001875

Reference34 articles.

1. Mathematical tools for kinetic equations

2. Trend to equilibrium for dissipative equations, functional inequalities and mass transportation

Cited by 49 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Mathematical modelling and optimal control analysis of pandemic dynamics as a hybrid system;European Journal of Control;2024-01

2. The new complex travelling wave solutions of the simplified modified camassa holm equation;Optical and Quantum Electronics;2023-12-16

3. On Systems of Active Particles Perturbed by Symmetric Bounded Noises: A Multiscale Kinetic Approach;Symmetry;2021-09-01

4. On the Complex Simulations With Dark–Bright to the Hirota–Maccari System;Journal of Computational and Nonlinear Dynamics;2021-04-23

5. On mathematical model of HIV CD4+T-cells;Alexandria Engineering Journal;2021-02