Population dynamics under selection and mutation: long-time behavior for differential equations in measure spaces

DOI10.1016/j.jde.2016.04.008zbMath1338.92093OpenAlexW2343284495MaRDI QIDQ281678

Azmy S. Ackleh, John Cleveland, Horst R. Thieme

Publication date: 11 May 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.04.008

zbMATH Keywords

Lyapunov functionsevolutionary game theoryasymptotically stable strategycone of nonnegative measurespersistence theorysurvival of the fittest

Mathematics Subject Classification ID

Problems related to evolution (92D15) Dynamical systems in biology (37N25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Population dynamics (general) (92D25) Nonlinear differential equations in abstract spaces (34G20) Evolutionary games (91A22)

Related Items (8)

Competition in the chemostat with time-dependent differential removal rates ⋮ Well-posedness of a system of transport and diffusion equations in space of measures ⋮ Measure framework for the pure selection equation: global well posedness and numerical investigations ⋮ Modelling physiologically structured populations: renewal equations and partial differential equations ⋮ Measures under the flat norm as ordered normed vector space ⋮ Dirac-concentrations in an integro-PDE model from evolutionary game theory ⋮ Diffusive limit to a selection-mutation equation with small mutation formulated on the space of measures ⋮ Concentration phenomena in an integro-PDE model for evolution of conditional dispersal

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