Connecting deterministic and stochastic metapopulation models

DOI10.1007/s00285-015-0865-4zbMath1350.92039arXiv1401.7064OpenAlexW3102290095WikidataQ41309250 ScholiaQ41309250MaRDI QIDQ893818

Philip K. Pollett, Andrew David Barbour, Ross S. McVinish

Publication date: 20 November 2015

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7064

zbMATH Keywords

stochastic patch occupancy modelVapnik-Chervonenkis theory

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ecology (92D40) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (5)

Normal approximations for discrete-time occupancy processes ⋮ Local approximation of a metapopulation's equilibrium ⋮ Fast approximate simulation of finite long-range spin systems ⋮ A metapopulation model with Markovian landscape dynamics ⋮ Dominating occupancy processes by the independent site approximation

Uses Software

• SPOMSIM

Cites Work

• Unnamed Item
• Unnamed Item
• Extinction dynamics in mainland-island metapopulations: an \(N\)-patch stochastic model
• The limiting behaviour of a mainland-island metapopulation
• Differential equation approximations for Markov chains
• The contact process on a finite set
• Balls in \(\mathbb{R}^k\) do not cut all subsets of \(k+2\) points
• Spatially structured metapopulation models: Global and local assessment of metapopulation capacity.
• Transient dynamics in metapopulation response to perturbation.
• A stochastic metapopulation model with variability in patch size and position
• Laws of large numbers for epidemic models with countably many types
• Metapopulation theory for fragmented landscapes
• Asymptotically exact analysis of stochastic metapopulation dynamics with explicit spatial structure
• On the density of families of sets
• A Markovian Function of a Markov Chain
• Multifrequency parametric resonance in a non-linear wave equation
• Metric entropy and approximation
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
• Combinatorial methods in density estimation

This page was built for publication: Connecting deterministic and stochastic metapopulation models