Measure framework for the pure selection equation: global well posedness and numerical investigations
Hugo Martin1
1 IRMAR, Université de Rennes, CNRS, IRMAR - UMR 6625, 35000 Rennes, France and INRAE, Agrocampus Ouest, Université de Rennes, IGEPP, Le Rheu, France
MathematicS In Action, Maths Bio, Tome 12 (2023) no. 1, pp. 155-173.

We study the classic pure selection integrodifferential equation, stemming from adaptative dynamics, in a measure framework by mean of duality approach. After providing a well posedness result under fairly general assumptions, we focus on the asymptotic behaviour of various cases, illustrated by some numerical simulations.

Publié le :
DOI : 10.5802/msia.36
Classification : 45J05, 45M15, 65R20, 92D15, 92D40
Mots-clés : population dynamics, selection model, measure solutions, semigroup, asymptotic behaviour, simulations
Hugo Martin 1

1 IRMAR, Université de Rennes, CNRS, IRMAR - UMR 6625, 35000 Rennes, France and INRAE, Agrocampus Ouest, Université de Rennes, IGEPP, Le Rheu, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Hugo Martin. Measure framework for the pure selection equation: global well posedness and numerical investigations. MathematicS In Action, Maths Bio, Tome 12 (2023) no. 1, pp. 155-173. doi : 10.5802/msia.36. https://msia.centre-mersenne.org/articles/10.5802/msia.36/

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