Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration
نویسندگان
چکیده
منابع مشابه
Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration
We consider a class of nonlocal reaction-diffusion problems, referred to as replicator-mutator equations in evolutionary genetics. By using explicit changes of unknown function, we show that they are equivalent to the heat equation and, therefore, compute their solution explicitly. Based on this, we then prove that, in the case of beneficial mutations in asexual populations, solutions dramatica...
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We consider a class of nonlocal reaction-diffusion problems, referred to as replicator-mutator equations in evolutionary genetics. By using explicit changes of unknown function, we show that they are equivalent to the heat equation and, therefore, compute their solution explicitly. Based on this, we then prove that, in the case of beneficial mutations in asexual populations, solutions dramatica...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2014
ISSN: 0036-1399,1095-712X
DOI: 10.1137/140979411