Long Time Evolutionary Dynamics of Phenotypically Structured Populations in Time-Periodic Environments

DOI10.1137/18M1175185zbMath1491.35272arXiv1803.03547WikidataQ115029845 ScholiaQ115029845MaRDI QIDQ4691133

Susely Figueroa Iglesias, Sepideh Mirrahimi

Publication date: 18 October 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03547

zbMATH Keywords

parabolic integro-differential equationsadaptive evolutionDirac concentrationstime-periodic coefficientsHamilton-Jacobi equation with constraint

Mathematics Subject Classification ID

Problems related to evolution (92D15) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Integro-partial differential equations (35R09)

Related Items (13)

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 ⋮ Ancestral lineages in mutation selection equilibria with moving optimum ⋮ A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels ⋮ Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks ⋮ Adaptation in General Temporally Changing Environments ⋮ Dirac-concentrations in an integro-PDE model from evolutionary game theory ⋮ Survival criterion for a population subject to selection and mutations; application to temporally piecewise constant environments ⋮ A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer ⋮ Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments ⋮ Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity ⋮ Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion ⋮ Influence of mutations in phenotypically-structured populations in time periodic environment

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