A competition-diffusion system, where populations of healthy and ill cells compete and move on a neutral matrix, is analyzed. A coupled system of nonlinear parabolic equations is derived through a scaling procedure from the microscopic, Markovian dynamics. The space dependent solutions show a behavior markedly different from the associated ODE system. For a large class of initial conditions, the asymptotic behavior of the system can be described through the analysis of associated travelling waves. (C) 2003 Elsevier Science Ltd. All rights reserved.
Gobron, T., Saada, E., & Triolo, L. (2003). The competition-diffusion limit of a stochastic growth model. MATHEMATICAL AND COMPUTER MODELLING, 37(11), 1153-1161.
Tipologia: | Articolo su rivista |
Citazione: | Gobron, T., Saada, E., & Triolo, L. (2003). The competition-diffusion limit of a stochastic growth model. MATHEMATICAL AND COMPUTER MODELLING, 37(11), 1153-1161. |
IF: | Con Impact Factor ISI |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/S0895-7177(03)00127-4 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2003 |
Titolo: | The competition-diffusion limit of a stochastic growth model |
Autori: | |
Autori: | Gobron, T; Saada, E; Triolo, L |
Appare nelle tipologie: | 01 - Articolo su rivista |