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 [10.1016/S0895-7177(03)00127-4].
The competition-diffusion limit of a stochastic growth model
TRIOLO, LIVIO
2003-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
