Abstract
| Lingua originale | English |
|---|---|
| Stato di pubblicazione | Published - 2008 |
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Cross-diffusion driven instability for a Lotka-Volterra competitive reaction-diffusion system. / Gambino G; Lombardo M C; Sammartino M.
2008.Risultato della ricerca: Paper
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TY - CONF
T1 - Cross-diffusion driven instability for a Lotka-Volterra competitive reaction-diffusion system
AU - Gambino G; Lombardo M C; Sammartino M
AU - Sammartino, Marco Maria Luigi
AU - Lombardo, Maria Carmela
AU - Gambino, Gaetana
PY - 2008
Y1 - 2008
N2 - In this work we investigate the possibility of the pattern formation for a reaction-di®usion system with nonlinear di®usion terms. Through a linear sta- bility analysis we ¯nd the conditions which allow a homogeneous steady state (stable for the kinetics) to become unstable through a Turing mechanism. In particular, we show how cross-di®usion e®ects are responsible for the initiation of spatial patterns. Finally, we ¯nd a Fisher amplitude equation which describes the weakly nonlinear dynamics of the system near the marginal stability.
AB - In this work we investigate the possibility of the pattern formation for a reaction-di®usion system with nonlinear di®usion terms. Through a linear sta- bility analysis we ¯nd the conditions which allow a homogeneous steady state (stable for the kinetics) to become unstable through a Turing mechanism. In particular, we show how cross-di®usion e®ects are responsible for the initiation of spatial patterns. Finally, we ¯nd a Fisher amplitude equation which describes the weakly nonlinear dynamics of the system near the marginal stability.
KW - Nonlinear diffusion; Turing pattern formation
UR - http://hdl.handle.net/10447/39995
M3 - Paper
ER -