The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Global Models of Growth and Competition
Open accessAbstract
Very precise data on the dynamics of a competitive system of two species of Drosophila have been obtained. By a curvilinear regression approach, analytical models of competition have been fitted. By statistical and biological criteria of simplicity, reality, generality, and accuracy, the best of these models has been chosen. This model represents an extension of the Lotka-Volterra model of competition; it adds a fourth parameter that controls the degree of nonlinearity in intraspecific growth regulation. It represents a similar extension of the logistic model of population growth.
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Cites
Evolution in Changing Environments: Some Theoretical Explorations. (MPB-2)
Levins, R. (1968) · Princeton University Press eBooks · doi:10.1515/9780691209418 · Cited by 5,302
Evolution in Changing Environments: Some Theoretical Explorations. (MPB-2)
LEVINS, R. (2020) · Princeton University Press eBooks · doi:10.2307/j.ctvx5wbbh · Cited by 3,383
Kopf, E. W., & Lotka, A. J. (1925) · Journal of the American Statistical Association · doi:10.2307/2965538 · Cited by 2,371
(1925) · Nature · doi:10.1038/116461b0 · Cited by 2,126
Leçons sur la théorie mathématique de la lutte pour la vie
Volterra, V. (1990) · Virtual Defense Library (Ministerio de Defensa) · Cited by 1,082
Competition between species: Theoretical models and experimental tests
Ayala, F. J., Gilpin, M. E., & Ehrenfeld, J. G. (1973) · Theoretical Population Biology · doi:10.1016/0040-5809(73)90014-2 · Cited by 395
Self-citationExperimental Invalidation of the Principle of Competitive Exclusion
Ayala, F. J. (1969) · Nature · doi:10.1038/2241076a0 · Cited by 153
Self-citationReinterpretation of the Invalidation of the Principle of Competitive Exclusion
Gilpin, M. E., & Justice, K. E. (1972) · Nature · doi:10.1038/236273a0 · Cited by 74
Self-citation
Cited by
Nonlinear neural networks: Principles, mechanisms, and architectures
Grossberg, S. (1988) · Neural Networks · doi:10.1016/0893-6080(88)90021-4 · Cited by 1,623
Constraints and Tradeoffs: Toward a Predictive Theory of Competition and Succession
Tilman, D. (1990) · Oikos · doi:10.2307/3565355 · Cited by 750
Chapter 5 Empirical Evidence of Density‐Dependence in Populations of Large Herbivores
Bonenfant, C., Gaillard, J., Coulson, T., Festa‐Bianchet, M., Loison, A., Garel, M., Loe, L. E., Blanchard, P., Pettorelli, N., Owen‐Smith, N., et al. (2009) · Advances in Ecological Research · doi:10.1016/s0065-2504(09)00405-x · Cited by 400
Environmental Variation and the Persistence of Small Populations
Stacey, P. B., & Taper, M. (1992) · Ecological Applications · doi:10.2307/1941886 · Cited by 375
POPULATION GROWTH IN SPACE AND TIME: SPATIAL LOGISTIC EQUATIONS
Law, R., Murrell, D. J., & Dieckmann, U. (2003) · Ecology · doi:10.1890/0012-9658(2003)084[0252:pgisat]2.0.co;2 · Cited by 366
Metadata
- Authors
- Gilpin, M. E., & Ayala, F. J.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1973-12
- Volume
- 70
- Issue
- 12
- Pages
- 3590-3593
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2047838894
- Cited by
- 578
- References
- 8
- FWCI
- 8.32
- Type
- journal article
- Language
- en
- Open access
- green
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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.
