The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Mathematical and Computational Challenges in Population Biology and Ecosystems Science
Abstract
Mathematical and computational approaches provide powerful tools in the study of problems in population biology and ecosystems science. The subject has a rich history intertwined with the development of statistics and dynamical systems theory, but recent analytical advances, coupled with the enhanced potential of high-speed computation, have opened up new vistas and presented new challenges. Key challenges involve ways to deal with the collective dynamics of heterogeneous ensembles of individuals, and to scale from small spatial regions to large ones. The central issues—understanding how detail at one scale makes its signature felt at other scales, and how to relate phenomena across scales—cut across scientific disciplines and go to the heart of algorithmic development of approaches to high-speed computation. Examples are given from ecology, genetics, epidemiology, and immunology.
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Cites
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TAYLOR, L. R. (1961) · Nature · doi:10.1038/189732a0 · Cited by 2,496
Cited by
Superspreading and the effect of individual variation on disease emergence
Lloyd-Smith, J. O., Schreiber, S. J., Kopp, P. E., & Getz, W. M. (2005) · Nature · doi:10.1038/nature04153 · Cited by 2,514
Evolutionary Dynamics of Biological Games
Nowak, M. A., & Sigmund, K. (2004) · Science · doi:10.1126/science.1093411 · Cited by 1,184
A Simple Model for Complex Dynamical Transitions in Epidemics
Earn, D. J. D., Rohani, P., Bolker, B. M., & Grenfell, B. T. (2000) · Science · doi:10.1126/science.287.5453.667 · Cited by 684
Self-citationMechanisms of disease‐induced extinction
De Castro, F., & Bolker, B. (2005) · Ecology Letters · doi:10.1111/j.1461-0248.2004.00693.x · Cited by 676
Medvigy, D., Wofsy, S. C., Munger, J. W., Hollinger, D. Y., & Moorcroft, P. R. (2009) · Journal of Geophysical Research: Biogeosciences · doi:10.1029/2008jg000812 · Cited by 517
Metadata
- Authors
- Levin, S. A., Grenfell, B., Hastings, A., & Perelson, A. S.
- Venue
- Science
- Published
- 1997-01-17
- Volume
- 275
- Issue
- 5298
- Pages
- 334-343
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W1976529074
- Cited by
- 382
- References
- 2
- FWCI
- 33.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- Levin, S. A., Grenfell, B., Hastings, A., & Perelson, A. S. (1997). Mathematical and Computational Challenges in Population Biology and Ecosystems Science. Science. https://doi.org/10.1126/science.275.5298.334
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
