TITLE

# Travelling Waves in some Reaction-diffusion-aggregation Models

AUTHOR(S)
Ferracuti, Laura; Marcelli, Cristina; Papalini, Francesca
PUB. DATE
June 2009
SOURCE
Advances in Dynamical Systems & Applications;2009, Vol. 4 Issue 1, p19
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We deal with the reaction-diffusion-aggregation equation vt = [D(v)vx]x + f(v) t â‰¥ 0, x âˆˆ â„, where f is a monostable (i.e., Fisher-type) nonlinear reaction term and D(v) is a changing-sign nonlinear term, modeling repulsive-attractive population dynamic. We prove the existence of travelling fronts having speed varying in a half-line and provide an estimate for the minimal speed c*. We also investigate the possible existence of fronts reaching the equilibria at finite values.
ACCESSION #
52768269

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