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The effects of local spatial structure on epidemiological invasions
Open accessAbstract
Predicting the likely success of invasions is vitally important in ecology and especially epidemiology. Whether an organism can successfully invade and persist in the short-term is highly dependent on the spatial correlations that develop in the early stages of invasion. By modelling the correlations between individuals, we are able to understand the role of spatial heterogeneity in invasion dynamics without the need for large-scale computer simulations. Here, a natural methodology is developed for modelling the behaviour of individuals in a fixed network. This formulation is applied to the spread of a disease through a structured network to determine invasion thresholds and some statistical properties of a single epidemic.
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“When a population is organised in this fashion the capacity of epidemics to spread is reduced (Keeling 1999; Salathe ´ & Jones 2010).”
From Parasite-stress promotes in-group assortative sociality: The cases of strong family ties and heightened religiosity (2012) · cites this paper as Keeling 1999
Citations
Cites
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060
A contribution to the mathematical theory of epidemics
Kermack, W. O., & McKendrick, A. G. (1927) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1927.0118 · Cited by 11,854
Infectious Diseases of Humans: Dynamics and Control
Anderson, R. M., & May, R. M. (1991) · doi:10.1093/oso/9780198545996.001.0001 · Cited by 6,179
Diekmann, O., Heesterbeek, H., & Metz, J. A. J. (1990) · Journal of Mathematical Biology · doi:10.1007/bf00178324 · Cited by 5,103
Hall, A. J. (1992) · Transactions of the Royal Society of Tropical Medicine and Hygiene · doi:10.1016/0035-9203(92)90276-i · Cited by 2,146
Ecology of Infectious Diseases in Natural Populations
(1995) · Cambridge University Press eBooks · doi:10.1017/cbo9780511629396 · Cited by 793
Contributions to the mathematical theory of epidemics—I
KERMACK, W., & McKendrick, A. G. (1991) · Bulletin of Mathematical Biology · doi:10.1016/s0092-8240(05)80040-0 · Cited by 694
Aggregation of Predators and Insect Parasites and its Effect on Stability
Hassell, M. P., & May, R. M. (1974) · Journal of Animal Ecology · doi:10.2307/3384 · Cited by 668
Statistical Mechanics of Population: The Lattice Lotka-Volterra Model
Matsuda, H., Ogita, N., Sasaki, A., & Satō, K. (1992) · Progress of Theoretical Physics · doi:10.1143/ptp/88.6.1035 · Cited by 445
Disease Extinction and Community Size: Modeling the Persistence of Measles
Keeling, M. J., & Grenfell, B. T. (1997) · Science · doi:10.1126/science.275.5296.65 · Cited by 392
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Flagged first, then by citations
Research works printed but not linked: 4
- 10.1239/jap/1032192860 · DOI
- Matsuda H. 1987 Conditions for the evolution of altruism. In Animal societies: theories and facts (ed. Y. Ito J. P. Brown & J. Kikkawa) pp. 67^80. Tokyo: Japanese Scienti¢c Society Press.
- Rand D. A. 1999 Correlation equations for spatial ecologies. In Advanced ecological theory (ed. J. McGlade) pp. 99^143. London: Blackwell Scienti¢c Publishing.
- Van Baalen M. 1999 Pair dynamics and con¢guration approximations. In The geometry of ecological interactions: simplifying spatial complexity (ed. U. Dieckmann & J. Metz). Cambridge University Press. (In the press.)
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Gortázar, C., Vicente, J., Villar, M., Ruiz‐Fons, F., Höfle, Ú., & de la Fuente, J. (2016) · Wildlife research monographs · doi:10.1007/978-3-319-27912-1_3 · Cited by 3
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Metadata
- Authors
- Keeling, M. J.
- Affiliations
- University of Cambridge (GB)
- Corresponding author
- Keeling, M. J.
- ORCID
- Keeling, M. J.
- Venue
- Proceedings of the Royal Society of London. Series B: Biological Sciences
- Publisher
- The Royal Society
- Published
- 1999-04-22
- Volume
- 266
- Issue
- 1421
- Pages
- 859-867
- ISSN
- 0080-4649 (ISSN-L)
- 0962-8452
- 1471-2954
- PMC
- PMC1689913
- OpenAlex
- W2030540141
- Cited by
- 798
- References
- 28
- Citations by year
- 2026: 19 · 2025: 27 · 2024: 19 · 2023: 30 · 2022: 23 · 2021: 36 · 2020: 33 · 2019: 30 · 2018: 44 · 2017: 46 · 2016: 35 · 2015: 47 · 2014: 37 · 2013: 41 · 2012: 38
- FWCI
- 9.92
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Proceedings of the Royal Society B Biological Sciences (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Wellcome Trust
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical and Theoretical Epidemiology and Ecology Models
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Keywords
- invasion threshold, spatial structure, spatial heterogeneity, epidemic spread, structured networks, disease transmission, agent-based modeling, spatial correlation, epidemic persistence
- MeSH terms
- Communicable Disease Control, Communicable Diseases, Disease Outbreaks, Ecology, Epidemiology, Humans, Models, Biological, Vaccination
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