Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis
نویسندگان
چکیده
We examine a general model for the Fisher-KPP (FKPP) equation with nonlocal advection. The main interpretation of this is as describing diffusing and logistically growing population that also influenced by intraspecific attraction or repulsion. For particular choice parameters, specializes to Keller-Segel-Fisher chemotaxis. Our interest in effect chemotaxis on speed traveling waves. prove there threshold such that, when interactions are weaker more localized than this, chemotaxis, despite being non-trivial, does not influence waves; is, minimal wave has 2 FKPP case. On other hand, interaction repulsive, we show arbitrarily large certain asymptotic regime which strength length scale tend infinity. Nous considérons un modèle général pour l'équation de avec advection non locale. L'interprétation principale ce est la description d'une densité qui diffuse et dont taille augmente manière logistique, mais aussi influencée par des forces d'attraction répulsion. Pour choix particulier paramètres, nous retrouvons intéressons plus particulièrement aux effets sur vitesse ondes progressives. montrons qu'il existe seuil tel que, faibles localisées que seuil, malgré qu'elle soit triviale, ne change pas vitesse. Autrement dit, minimale 2, comme le cas (sans chemotaxis). En revanche, lorsque l'interaction répulsive, arbitrairement grande, dans régime asymptotique où force l'échelle longueur tendent vers l'infini.
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2022
ISSN: ['0021-7824', '1776-3371']
DOI: https://doi.org/10.1016/j.matpur.2022.09.004