A non-expanding transport distance for some structured equations
Résumé
Structured equations are a standard modeling tool in mathematical biology. They are
integro-differential equations where the unknown depends on one or several variables,
representing the state or phenotype of individuals. A large literature has been devoted to many
aspects of these equations and in particular to the study of measure solutions.
Here we introduce a transport distance closely related to the Monge-Kantorovich distance,
which appears to be non-expanding for several (mainly linear) examples of structured equations.
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