The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Functional Response and Stability in Predator-Prey Systems
Abstract
We propose two measures of how stabilizing a functional response is. We suggest that predation be regarded as stabilizing at a prey density of H if the predation rate is increasing then-i.e., if f(H)/H is increasing where f is the functional response. This is equivalent to asking that an increase in prey density results in an increased chance of a given prey being killed by the predator. With Hm as the maximum value of H for which this criterion holds, our measures are Hm and f(Hm). We relate this criterion and these measures to local stability and also to structural stability in a modified Lotka-Volterra model and a general multispecies model. The criteria will be used in detailed models of switching in predators (in the following paper in this issue) and of patchiness.
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Citations
Cites
Resilience and Stability of Ecological Systems
Holling, C. S. (1973) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.es.04.110173.000245 · Cited by 18,995
Holling, C. S. (1959) · The Canadian Entomologist · doi:10.4039/ent91293-5 · Cited by 3,624
Holling, C. S. (1965) · Memoirs of the Entomological Society of Canada · doi:10.4039/entm9745fv · Cited by 2,701
Paradox of Enrichment: Destabilization of Exploitation Ecosystems in Ecological Time
Rosenzweig, M. L. (1971) · Science · doi:10.1126/science.171.3969.385 · Cited by 1,917
Predation and Population Stability
Murdoch, W. W., & Oaten, A. (1975) · Advances in Ecological Research · doi:10.1016/s0065-2504(08)60288-3 · Cited by 1,551
Self-citationStability in Insect Host-Parasite Models
Hassell, M. P., & May, R. M. (1973) · The Journal of Animal Ecology · doi:10.2307/3133 · Cited by 885
Limit Cycles in Predator-Prey Communities
May, R. M. (1972) · Science · doi:10.1126/science.177.4052.900 · Cited by 573
Lewontin, R. C. (1969) · PubMed · Cited by 500
Switching, Functional Response, and Stability in Predator-Prey Systems
Oaten, A., & Murdoch, W. W. (1975) · The American Naturalist · doi:10.1086/282999 · Cited by 265
Self-citationVito Volterra and theoretical ecology
Scudo, F. M. (1971) · Theoretical Population Biology · doi:10.1016/0040-5809(71)90002-5 · Cited by 149
Population Regulation and Population Inertia
Murdoch, W. W. (1970) · Ecology · doi:10.2307/1935385 · Cited by 106
Self-citation
Cited by
Foraging Strategies and the Avoidance of Predation by an Aquatic Insect, Notonecta Hoffmanni
Sih, A. (1982) · Ecology · doi:10.2307/1936799 · Cited by 451
Yadav, D. K., Samantaray, B. P., & Kumar, R. (2024) · Science of the Total Environment · doi:10.1016/j.scitotenv.2024.174999 · Cited by 19
Metadata
- Authors
- Oaten, A., & Murdoch, W. W.
- Venue
- The American Naturalist
- Publisher
- University of Chicago Press
- Published
- 1975-05
- Volume
- 109
- Issue
- 967
- Pages
- 289-298
- ISSN
- 0003-0147 (ISSN-L)
- 1537-5323
- OpenAlex
- W2032645635
- Cited by
- 318
- References
- 11
- FWCI
- 12.30
- Type
- journal article
- Language
- en
- Open access
- closed
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