Analysis of Integrodifference Equations with a Separable Dispersal Kernel
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DOI: 10.1007/s10440-018-0207-9
Abstract: Integrodifference equations are a class of infinite-dimensional dynamical systems in discrete time that have recently received great attention as mathematical models of population dynamics in spatial ecology. The dispersal of individuals between generations is described… read more here.
Keywords: dispersal kernel; analysis integrodifference; separable dispersal; equations separable ... See more keywords
Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions
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DOI: 10.1007/s10884-020-09887-8
Abstract: In theoretical ecology, models describing the spatial dispersal and the temporal evolution of species having non-overlapping generations are often based on integrodifference equations. For various such applications the environment has an aperiodic influence on the… read more here.
Keywords: pullback dynamics; dynamics nonautonomous; integrodifference; forward pullback ... See more keywords
Inside Dynamics of Integrodifference Equations with Mutations
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DOI: 10.1007/s11538-019-00683-0
Abstract: The method of inside dynamics provides a theory that can track the dynamics of neutral gene fractions in spreading populations. However, the role of mutations has so far been absent in the study of the… read more here.
Keywords: mutation; leading edge; inside dynamics; neutral fractions ... See more keywords