Measure Solutions for Some Models in Population Dynamics View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-02

AUTHORS

José A. Cañizo, José A. Carrillo, Sílvia Cuadrado

ABSTRACT

We give a direct proof of well-posedness of solutions to general selection-mutation and structured population models with measures as initial data. This is motivated by the fact that some stationary states of these models are measures and not L1 functions, so the measures are a more natural space to study their dynamics. Our techniques are based on distances between measures appearing in optimal transport and common arguments involving Picard iterations. These tools provide a simplification of previous approaches and are applicable or adaptable to a wide variety of models in population dynamics. More... »

PAGES

141-156

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10440-012-9758-3

DOI

http://dx.doi.org/10.1007/s10440-012-9758-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1024121147


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