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The competition-diffusion limit of a stochastic growth model

โœ Scribed by T Gobron; E Saada; L Triolo

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
774 KB
Volume
37
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

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.

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