Steady states of lattice population models with immigration

DOI10.1080/08898480.2020.1767411zbMath1483.91150arXiv1808.05673OpenAlexW3034745852MaRDI QIDQ5035661

Ostap Hryniv, Yaqin Feng, Joseph Whitmeyer, Elena Chernousova, Stanislav Alekseevich Molchanov

Publication date: 22 February 2022

Published in: Mathematical Population Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05673

zbMATH Keywords

Lyapunov stabilityimmigrationcorrelation functionssteady statebranching random walkspatial population dynamics

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Mathematical geography and demography (91D20) Spatial models in sociology (91D25)

Related Items (2)

Keeping random walks safe from extinction and overpopulation in the presence of life-taking disasters ⋮ Structure of the population of particles for a branching random walk in a homogeneous environment

Cites Work

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• Population processes with immigration
• Branching Random Walks With Several Sources^*
• Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles
• Steady state and intermittency in the critical branching random walk with arbitrary total number of offspring
• Branching random walks and their applications for epidemic modeling
• A Limit Theorem for Supercritical Random Branching Walks with Branching Sources of Varying Intensity

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