References
Adam, David. 2020. “Special Report: The Simulations Driving the
World’s Response to COVID-19.” Nature 580:
316–18.
Bock, R. Darrell, Howard Wainer, Anne Petersen, David Thissen, James
Murray, and Alex Roche. 1973. “A Parameterization for Individual
Human Growth Curves.” Human Biology 45 (1): 63–80. http://www.jstor.org/stable/41459847.
Cori, Anne, Neil M. Ferguson, Christophe Fraser, and Simon Cauchemez.
2013. “A New Framework and Software to Estimate Time-Varying
Reproduction Numbers During Epidemics.” American Journal of
Epidemiology 178 (9): 1505–12. https://doi.org/10.1093/aje/kwt133.
Gompertz, Benjamin. 1825. “On the Nature of the Function
Expressive of the Law of Human Mortality, and on a New Mode of
Determining the Value of Life Contingencies.” Philosophical
Transactions of the Royal Society of London 115 (December): 513–83.
https://doi.org/10.1098/rstl.1825.0026.
Kermack, William Ogilvy, and A. G. McKendrick. 1927. “A
Contribution to the Mathematical Theory of Epidemics.”
Proceedings of the Royal Society A 115 (772): 700–721.
Lee, Se Yoon, Bowen Lei, and Bani Mallick. 2020. “Estimation of
COVID-19 Spread Curves Integrating Global Data and
Borrowing Information.” PLOS ONE 15 (7): e0236860. https://doi.org/10.1371/journal.pone.0236860.
Li, Qun, Xuhua Guan, Peng Wu, Xiaoye Wang, Lei Zhou, Yeqing Tong, Ruiqi
Ren, et al. 2020. “Early Transmission Dynamics in
Wuhan, China, of Novel Coronavirus-Infected
Pneumonia.” New England Journal of Medicine 382 (13):
1199–1207. https://doi.org/10.1056/NEJMoa2001316.
Lipovetsky, Stan. 2010. “Double Logistic Curve in Regression
Modeling.” Journal of Applied Statistics 37 (11):
1785–93. https://doi.org/10.1080/02664760903093633.
Ma, Junling. 2020. “Estimating Epidemic Exponential Growth Rate
and Basic Reproduction Number.” Infectious Disease
Modelling 5 (January): 129–41. https://doi.org/10.1016/j.idm.2019.12.009.
Moll, Benjamin. 2020. “Lockdowns in SIR
Models.” LSE.
Oswald, Stephen A., Ian C. T. Nisbet, Andre Chiaradia, and Jennifer M.
Arnold. 2012. “FlexParamCurve: R Package
for Flexible Fitting of Nonlinear Parametric Curves.” Methods
in Ecology and Evolution 3 (6): 1073–77. https://doi.org/10.1111/j.2041-210x.2012.00231.x.
Park, M., A. R. Cook, J. T. Lim, Y. Sun, and B. L. Dickens. 2020.
“A Systematic Review of
COVID-19 Epidemiology Based on
Current Evidence.” Journal of
Clinical Medicine 9 (4). https://doi.org/10.3390/jcm9040967.
Richards, F. J. 1959. “A Flexible Growth Function for Empirical
Use.” Journal of Experimental Botany 10 (2): 290–301. https://doi.org/10.1093/jxb/10.2.290.
Thissen, David, R. Darrell Bock, Howard Wainer, and Alex F. Roche. 1976.
“Individual Growth in Stature: A Comparison of Four
Growth Studies in the U.S.A.” Annals of Human
Biology 3 (6): 529–42. https://doi.org/10.1080/03014467600001791.
Tjørve, Kathleen M. C., and Even Tjørve. 2017. “The Use of
Gompertz Models in Growth Analyses, and New
Gompertz-Model Approach: An Addition to the
Unified-Richards Family.” PLOS
ONE 12 (6): e0178691. https://doi.org/10.1371/journal.pone.0178691.
Toda, Alexis Akira. 2020. “Susceptible-Infected-Recovered
(SIR) Dynamics of COVID-19 and Economic
Impact.” arXiv:2003.11221v2.
Tsoularis, A., and J. Wallace. 2002. “Analysis of Logistic Growth
Models.” Mathematical Biosciences 179 (1): 21–55. https://doi.org/10.1016/S0025-5564(02)00096-2.
Verhulst, P. F. 1845. “Recherches Mathématiques Sur
La Loi d’accroissement de La Population.” Nouveaux
mémoires de l’Académie Royale Des Sciences Et
Belles-Lettres de Bruxelles 18: 14–54. https://eudml.org/doc/182533.
Wang, Huwen, Zezhou Wang, Yinqiao Dong, Ruijie Chang, Chen Xu, Xiaoyue
Yu, Shuxian Zhang, et al. 2020. “Phase-Adjusted Estimation of the
Number of Coronavirus Disease 2019 Cases in Wuhan,
China.” Cell Discovery 6 (1): 1–8. https://doi.org/10.1038/s41421-020-0148-0.
Wang, Xiang-Sheng, Jianhong Wu, and Yong Yang. 2012. “Richards
Model Revisited: Validation by and Application to Infection
Dynamics.” Journal of Theoretical Biology 313: 12–19. https://doi.org/10.1016/j.jtbi.2012.07.024.