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A Mean Field Approximation of the Bolker-Pacala Population Model

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Publication:2923171
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zbMath1317.60111arXiv1302.1169MaRDI QIDQ2923171

Mariya Bessonov, Joseph Whitmeyer, Stanislav Alekseevich Molchanov

Publication date: 15 October 2014

Full work available at URL: https://arxiv.org/abs/1302.1169


zbMATH Keywords

limit theoremsbirth-and-death random walkBolker-Pacala population modellogistic Markov chain


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Applications of branching processes (60J85) Population dynamics (general) (92D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)


Related Items (4)

Extinction threshold in the spatial stochastic logistic model: space homogeneous case ⋮ Positive discrete spectrum of the evolutionary operator of supercritical branching walks with heavy tails ⋮ A multi-class extension of the mean field Bolker-Pacala population model ⋮ Baseline models of spatial population dynamics







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