The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
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Citations
Cites
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Guckenheimer, J., & Holmes, P. (1983) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-1140-2 · Cited by 16,144
Population biology of infectious diseases: Part I
Anderson, R. M., & May, R. M. (1979) · Nature · doi:10.1038/280361a0 · Cited by 3,185
The Mathematical Theory of Infectious Diseases and its applications
Ling, N. R. (1978) · Immunology · Cited by 1,934
A generalization of the Kermack-McKendrick deterministic epidemic model
Capasso, V., & Serio, G. (1978) · Mathematical Biosciences · doi:10.1016/0025-5564(78)90006-8 · Cited by 1,297
Population biology of infectious diseases: Part II
May, R. M., & Anderson, R. M. (1979) · Nature · doi:10.1038/280455a0 · Cited by 942
The Mathematical Theory of Infectious Diseases and Its Applications
Giles, P., & Bailey, N. T. J. (1977) · Operational Research Quarterly (1970-1977) · doi:10.2307/3009004 · Cited by 937
RECURRENT OUTBREAKS OF MEASLES, CHICKENPOX AND MUMPS
LONDON, W. P., & YORKE, J. A. (1973) · American Journal of Epidemiology · doi:10.1093/oxfordjournals.aje.a121575 · Cited by 459
Seasonality and period-doubling bifurcations in an epidemic model
Aron, J. L., & Schwartz, I. B. (1984) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(84)80150-2 · Cited by 430
An Age-Structured Model of Pre- and Post-Vaccination Measles Transmission
SCHENZLE, D. (1984) · Mathematical Medicine and Biology · doi:10.1093/imammb/1.2.169 · Cited by 429
The Incidence of Infectious Diseases under the Influence of Seasonal Fluctuations
Dietz, K. (1976) · Lecture Notes in Biomathematics · doi:10.1007/978-3-642-93048-5_1 · Cited by 256
Nonlinear Oscillations in Epidemic Models
Hethcote, H. W., Stech, H. W., & den Driessche, P. V. (1981) · SIAM Journal on Applied Mathematics · doi:10.1137/0140001 · Cited by 182
Schwartz, I. B. (1985) · Journal of Mathematical Biology · doi:10.1007/bf00276232 · Cited by 115
The Law of Mass Action in Epidemiology
Wilson, E. B., & Worcester, J. (1945) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.31.1.24 · Cited by 86
Cited by
Modelling the influence of human behaviour on the spread of infectious diseases: a review
Funk, S., Salathé, M., & Jansen, V. A. A. (2010) · Journal of The Royal Society Interface · doi:10.1098/rsif.2010.0142 · Cited by 1,314
Mathematical modeling of infectious disease dynamics
Siettos, C. I., & Russo, L. (2013) · Virulence · doi:10.4161/viru.24041 · Cited by 466
Macroscopic patterns of interacting contagions are indistinguishable from social reinforcement
Hébert-Dufresne, L., Scarpino, S. V., & Young, J.-G. (2020) · Nature Physics · doi:10.1038/s41567-020-0791-2 · Cited by 71
Metadata
- Authors
- Liu, W.-M., Levin, S. A., & Iwasa, Y.
- Venue
- Journal of Mathematical Biology
- Published
- 1986-02
- Volume
- 23
- Issue
- 2
- Pages
- 187-204
- ISSN
- 0303-6812 (ISSN-L)
- 1432-1416
- OpenAlex
- W2075489080
- Cited by
- 873
- References
- 13
- FWCI
- 4.38
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
