Asymptotic behavior of a metapopulation model

DOI10.1214/105051605000000070zbMath1137.37331arXivmath/0505240OpenAlexW2092667801MaRDI QIDQ558674

Andrea Pugliese, Andrew David Barbour

Publication date: 13 July 2005

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505240

zbMATH Keywords

stochastic comparisonstructured population modelmetapopulation processthreshold theorem

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Nonlinear differential equations in abstract spaces (34G20) Ecology (92D40) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Continuous-time Markov processes on discrete state spaces (60J27) Nonlinear evolution equations (47J35)

Related Items (13)

The limiting behaviour of a stochastic patch occupancy model ⋮ A spatially structured metapopulation model within a stochastic environment ⋮ Kolmogorov's differential equations and positive semigroups on first moment sequence spaces ⋮ On parameter estimation in population models ⋮ Limits for density dependent time inhomogeneous Markov processes ⋮ The impact of the Allee effect in dispersal and patch-occupancy age on the dynamics of metapopulations ⋮ A model for a spatially structured metapopulation accounting for within patch dynamics ⋮ The limiting behaviour of a mainland-island metapopulation ⋮ Convergence of a structured metapopulation model to Levins's model ⋮ A scaling limit for the degree distribution in sublinear preferential attachment schemes ⋮ A METAPOPULATION MODEL WITH DISCRETE SIZE STRUCTURE ⋮ Solvability for an infinite system of fractional order boundary value problems ⋮ Stochastic and deterministic analysis of SIS household epidemics

Cites Work

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• Denumerable Markov processes and the associated contraction semigroups on l
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Single-species metapopulation dynamics: A structured model
• A persistence criterion for metapopulations.
• Survival and extinction in a locally regulated population
• An explicitly spatial version of the Lotka-Volterra model with interspecific competition
• On fitness in structured metapopulations
• An application of convolution expansions to an infinite system of differential equations
• Persistence of a Markovian population in a patchy environment
• Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data
• Deterministic approximation of a stochastic metapopulation model
• On the variance mean ratio in models of parasite distributions
• Conditions for integrability of Markov chains
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)

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