Aggregative effects for a reaction-advection equation |
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| Authors: | R Dal Passo P de Mottoni |
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| Institution: | (1) Istituto per le Applicazioni del Calcolo  M. Picone , CNR, Roma, Italy;(2) Dipartimento di Matematica Pura e Applicata, Università dell'Aquila, L'Aquila, Italy |
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| Abstract: | The time course of a single population subject to logistic growth and drift towards regions of increasing population density is modelled by a quasilinear differential equation of the first order. The stationary solutions and the travelling waves are investigated. The existence of travelling waves with compact support is used to prove, among other properties, that populations initially concentrated in a finite region preserve this property for all future times.Visiting A. von Humboldt Fellow at the Universität Tübingen, Lehrstuhl für Biomathematik, Auf der Morgenstelle 28, D-7406 Tübingen 1 |
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| Keywords: | Nonlinear advection aggregation quasilinear first-order equations |
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