Abstract
The decline of species in natural habitats concerns ecologists, who view extinction as a danger and conservation of biological diversity as a goal. In contrast, the proliferation of 'undesirable' species is the principal concern of epidemiologists, who view persistence as a problem and eradication as an achievement. While ecologists and epidemiologists have essentially opposite goals, the mathematical structure of the population dynamics that they study is very similar. We briefly review the similarities and differences between these two fields, emphasizing recent work in both areas on the effects of spatial synchrony and dynamical chaos. We hope to stimulate further cross-fertilization of ideas between the disciplines.
Full Text
The Full Text of this article is available as a PDF (203.6 KB).
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Agur Z., Cojocaru L., Mazor G., Anderson R. M., Danon Y. L. Pulse mass measles vaccination across age cohorts. Proc Natl Acad Sci U S A. 1993 Dec 15;90(24):11698–11702. doi: 10.1073/pnas.90.24.11698. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Allen J. C., Schaffer W. M., Rosko D. Chaos reduces species extinction by amplifying local population noise. Nature. 1993 Jul 15;364(6434):229–232. doi: 10.1038/364229a0. [DOI] [PubMed] [Google Scholar]
- Anderson R. M., May R. M. Population biology of infectious diseases: Part I. Nature. 1979 Aug 2;280(5721):361–367. doi: 10.1038/280361a0. [DOI] [PubMed] [Google Scholar]
- Bolker B. M., Grenfell B. T. Impact of vaccination on the spatial correlation and persistence of measles dynamics. Proc Natl Acad Sci U S A. 1996 Oct 29;93(22):12648–12653. doi: 10.1073/pnas.93.22.12648. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Glendinning P., Perry L. P. Melnikov analysis of chaos in a simple epidemiological model. J Math Biol. 1997 Feb;35(3):359–373. doi: 10.1007/s002850050056. [DOI] [PubMed] [Google Scholar]
- Levin S. A., Grenfell B., Hastings A., Perelson A. S. Mathematical and computational challenges in population biology and ecosystems science. Science. 1997 Jan 17;275(5298):334–343. doi: 10.1126/science.275.5298.334. [DOI] [PubMed] [Google Scholar]
- Lloyd A. L., May R. M. Spatial heterogeneity in epidemic models. J Theor Biol. 1996 Mar 7;179(1):1–11. doi: 10.1006/jtbi.1996.0042. [DOI] [PubMed] [Google Scholar]
- May R. M., Anderson R. M. Population biology of infectious diseases: Part II. Nature. 1979 Aug 9;280(5722):455–461. doi: 10.1038/280455a0. [DOI] [PubMed] [Google Scholar]
- Nokes D. J., Swinton J. The control of childhood viral infections by pulse vaccination. IMA J Math Appl Med Biol. 1995;12(1):29–53. doi: 10.1093/imammb/12.1.29. [DOI] [PubMed] [Google Scholar]
- Nokes D. J., Swinton J. Vaccination in pulses: a strategy for global eradication of measles and polio? Trends Microbiol. 1997 Jan;5(1):14–19. doi: 10.1016/S0966-842X(97)81769-6. [DOI] [PubMed] [Google Scholar]
- doi: 10.1098/rspb.1997.0069. [DOI] [PMC free article] [Google Scholar]
- Ramsay M., Gay N., Miller E., Rush M., White J., Morgan-Capner P., Brown D. The epidemiology of measles in England and Wales: rationale for the 1994 national vaccination campaign. Commun Dis Rep CDR Rev. 1994 Nov 11;4(12):R141–R146. [PubMed] [Google Scholar]