Limits of large metapopulations with patch-dependent extinction probabilities

DOI10.1239/aap/1293113156zbMath1211.92062OpenAlexW1984788295MaRDI QIDQ3074500

Philip K. Pollett, Ross S. McVinish

Publication date: 9 February 2011

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1293113156

zbMATH Keywords

weak convergencefixed pointchain binomial model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ecology (92D40) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

A Central Limit Theorem for a Discrete-Time SIS Model with Individual Variation ⋮ The limiting behaviour of a stochastic patch occupancy model ⋮ A model for a spatially structured metapopulation accounting for within patch dynamics ⋮ The limiting behaviour of a mainland-island metapopulation ⋮ Chain Binomial Models and Binomial Autoregressive Processes ⋮ The Limiting Behaviour of Hanski's Incidence Function Metapopulation Model

Uses Software

• SPOMSIM

Cites Work

• Exact asymptotic analysis for metapopulation dynamics on correlated dynamic landscapes
• Differential equation approximations for Markov chains
• Limit theorems for discrete-time metapopulation models
• Metapopulation theory for fragmented landscapes
• Asymptotically exact analysis of stochastic metapopulation dynamics with explicit spatial structure
• On the asymptotic behavior of the stochastic and deterministic models of an epidemic
• A threshold limit theorem for the stochastic logistic epidemic
• The asymptotic final size distribution of multitype chain-binomial epidemic processes
• Deterministic approximation of a stochastic metapopulation model
• The quasistationary distribution of the stochastic logistic model
• An Introduction to the Theory of Point Processes
• An epidemic with individual infectivities and susceptibilities
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