The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Some discrete-time SI, SIR, and SIS epidemic models
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Citations
Cites
Infectious Diseases of Humans: Dynamics and Control
(1992) · Annals of Internal Medicine · doi:10.7326/0003-4819-117-2-174_4 · Cited by 7,746
Simple mathematical models with very complicated dynamics
May, R. M. (1976) · Nature · doi:10.1038/261459a0 · Cited by 7,001
Mathematical Models in Biology
Edelstein-Keshet, L. (2005) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719147 · Cited by 2,014
The Mathematical Theory of Infectious Diseases
Kingman, J. F. C., & Bailey, N. T. J. (1977) · International Statistical Review / Revue Internationale de Statistique · doi:10.2307/1403009 · Cited by 864
Qualitative analyses of communicable disease models
Hethcote, H. W. (1976) · Mathematical Biosciences · doi:10.1016/0025-5564(76)90132-2 · Cited by 740
Gonorrhea Transmission Dynamics and Control
Hethcote, H. W., & Yorke, J. A. (1984) · Lecture Notes in Biomathematics · doi:10.1007/978-3-662-07544-9 · Cited by 738
A deterministic model for gonorrhea in a nonhomogeneous population
Lajmanovich, A., & Yorke, J. A. (1976) · Mathematical Biosciences · doi:10.1016/0025-5564(76)90125-5 · Cited by 701
A mathematical model for the global spread of influenza
A. Rvachev, L., & Longini, I. M. (1985) · Mathematical Biosciences · doi:10.1016/0025-5564(85)90064-1 · Cited by 524
Mathematical models in biology
Othmer, H. G. (1989) · Mathematical Biosciences · doi:10.1016/0025-5564(89)90088-6 · Cited by 510
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
Cited by
Multiple Rumor Source Detection with Graph Convolutional Networks
Dong, M., Zheng, B., Quoc Viet Hung, N., Su, H., & Li, G. (2019) · Proceedings of the 28th ACM International Conference on Information and Knowledge Management · doi:10.1145/3357384.3357994 · Cited by 119
Metadata
- Authors
- Allen, L. J. S.
- Venue
- Mathematical Biosciences
- Publisher
- Elsevier BV
- Published
- 1994-11
- Volume
- 124
- Issue
- 1
- Pages
- 83-105
- ISSN
- 0025-5564 (ISSN-L)
- OpenAlex
- W1994320166
- Cited by
- 543
- References
- 14
- FWCI
- 1.48
- Type
- journal article
- Language
- en
- Open access
- closed
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How to cite
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- CoChat. (2026). Citation check: Some discrete-time SI, SIR, and SIS epidemic models. https://app.cochat.ai/papers/10.1016/0025-5564(94)90025-6
- The paper
- Allen, L. J. S. (1994). Some discrete-time SI, SIR, and SIS epidemic models. Mathematical Biosciences. https://doi.org/10.1016/0025-5564(94)90025-6
Data sources
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.