Dynamics of adaptation in an anisotropic phenotype-fitness landscape

DOI10.1016/j.nonrwa.2020.103107zbMath1437.35670OpenAlexW2940769665MaRDI QIDQ1987407

G. Martin, François Hamel, Lionel Roques, F. Lavigne

Publication date: 15 April 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1101/623330

zbMATH Keywords

anisotropynonlocal equationadaptationmutationdegenerate PDE

Mathematics Subject Classification ID

Problems related to evolution (92D15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Developmental biology, pattern formation (92C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Transport equations (35Q49)

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Confining integro-differential equations originating from evolutionary biology: ground states and long time dynamics ⋮ Stochastic analysis and optimal control of a donation game system with non-uniform interaction rates and Gram-Schmidt orthogonalization procedure ⋮ Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions ⋮ Adaptation in General Temporally Changing Environments ⋮ When the Allee threshold is an evolutionary trait: persistence vs. extinction ⋮ Adaptation in a heterogeneous environment I: persistence versus extinction

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