From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution

DOI10.1080/15326340802437710zbMath1157.60339OpenAlexW2039208666MaRDI QIDQ3548734

Régis Ferrière, Sylvie Méléard, Nicolas Champagnat

Publication date: 17 December 2008

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340802437710

zbMATH Keywords

nonlinear partial differential equations nonlinear integro-differential equations adaptive dynamics fitness trait substitution sequence mutation-selection dynamics birth-death-mutation-competition point process Darwinian evolution nonlinear superprocesses

Mathematics Subject Classification ID

Problems related to evolution (92D15) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25)

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