Technical University of Marche, Department of Mathematical Sciences, Via Brecce Bianche, Ancona, 60131, Italy.
AMS Subject Classifications: Primary: 35K57, 92D25; Secondary: 34B40, 34B16.
We deal with the reaction-diffusion-aggregation equation
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 fnite values.
Diffusion-aggregation models, travelling wave solutions, speed of propagation, singular boundary value problems
