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Introductory Lectures on Stochastic Population Systems

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arxiv 1705.03781 v1 pith:KPNAVIAR submitted 2017-05-10 math.PR

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keywords populationmodelsbasicincludingprocessesstochasticanalysisbranching
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These notes provide a review of basic stochastic population models including branching processes and models of population genetics. Measure-valued population models including superprocesses and Fleming-Viot processes are also introduced together some basic methods for their analysis.

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Cited by 3 Pith papers

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  1. Exponential and Laplace approximation for occupation statistics of branching random walk

    math.PR 2019-09 accept novelty 8.0 of 10

    For d≥3, the joint occupancy counts of a critical branching random walk approach a deterministic multiple of an exponential with Wasserstein rate n^{−(d−2)/(2(d+1))}; for d≥7, centered fluctuations converge to a multi...

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  3. Stochastic individual-bases models

    q-bio.PE 2026-07 accept novelty 2.0 of 10

    Scaling limits of stochastic individual-based population models rigorously recover the main phenomena of adaptive dynamics, including trait substitution, branching, and escape from evolutionary stable states.

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