The spread of infectious diseases in spatially structured populations: an invasory pair approxi\-ma\-tion
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Publication:2494897
DOI10.1016/j.mbs.2005.06.005zbMath1089.92041OpenAlexW2077375217WikidataQ31001069 ScholiaQ31001069MaRDI QIDQ2494897
Publication date: 30 June 2006
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2005.06.005
lattice modelsSIS modelcontact processmoment closure approximationsbasic reproductive numberpair approximationspairwise equations of motion
Epidemiology (92D30) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
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Cites Work
- The effects of disease dispersal and host clustering on the epidemic threshold in plants
- Inferring the dynamics of a spatial epidemic from time-series data
- Analytic models for the patchy spread of plant disease
- Assessing the variability of stochastic epidemics
- Contact interactions on a lattice
- Pathogen invasion and host extinction in lattice structured populations
- The importance of being discrete (and spatial)
- Speed of invasion in lattice population models: Pair-edge approximation
- Using network models to approximate spatial point-process models
- Host heterogeneity and disease endemicity: A moment-based approach
- A versatile ODE approximation to a network model for the spread of sexually transmitted diseases
- Mathematical and Computational Challenges in Population Biology and Ecosystems Science
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