A Hamilton–Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments

DOI10.1142/S0218202517500488zbMath1383.35108arXiv1612.06193MaRDI QIDQ4595049

Sepideh Mirrahimi

Publication date: 28 November 2017

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06193

zbMATH Keywords

asymptotic analysisintegro-differential systemsquantitative geneticsevolutionary equilibriaHamilton-Jacobi equation with constraint

Mathematics Subject Classification ID

Problems related to evolution (92D15) Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Hamilton-Jacobi equations (35F21)

Related Items (9)

Dynamics of Dirac concentrations in the evolution of quantitative alleles with sexual reproduction ⋮ Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system ⋮ Adaptation in a heterogeneous environment. II: To be three or not to be ⋮ Adaptation to a heterogeneous patchy environment with non-local dispersion ⋮ Adaptation of a quantitative trait to a changing environment: new analytical insights on the asexual and infinitesimal sexual models ⋮ The best of both worlds: combining population genetic and quantitative genetic models ⋮ Long Time Evolutionary Dynamics of Phenotypically Structured Populations in Time-Periodic Environments ⋮ Asymptotic analysis of a quantitative genetics model with nonlinear integral operator ⋮ Evolutionary dynamics of complex traits in sexual populations in a heterogeneous environment: how normal?

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