Pair and triplet approximation of a spatial lattice population model with multiscale dispersal using Markov chains for estimating spatial autocorrelation

DOI10.1016/J.JTBI.2011.03.027zbMath1397.92575OpenAlexW2010546818WikidataQ51582838 ScholiaQ51582838MaRDI QIDQ1783484

Nicholas E. Millett, David E. Hiebeler

Publication date: 21 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2011.03.027

zbMATH Keywords

spatial correlationsdispersalspatial population models

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)

Cites Work

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• The effects of disease dispersal and host clustering on the epidemic threshold in plants
• Spatially correlated disturbances in a locally dispersing population model
• Analytic models for the patchy spread of plant disease
• A motif-based approach to network epidemics
• Pathogen invasion and host extinction in lattice structured populations
• Population persistence and spatially limited social interaction
• Cluster approximations for epidemic processes: a systematic description of correlations beyond the pair level
• Competing populations on fragmented landscapes with spatially structured heterogeneities: improved landscape generation and mixed dispersal strategies

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