- Rogers E.M., Diffusion of Innovations, 3rd Edition, (New York,
1983). - Background from: Bass F.M., ‘A new product growth for model
consumer durables’, Management Science, 1969. - Bass F.M. Comments on ‘A New Product Growth for Model
Consumer Durables’, Management Science, 2004. - Ross’ simple ‘susceptible-infected’ model can be written as:
dS/dt = -bSI, dI/dt = bSI, where b is the infection rate. The peak
rate of new infections occurs when dI/dt is increasing fastest,
i.e. the second derivative of dI/dt is equal to zero. Using the
product rule, we obtain: I = (3 – sqrt(3))/6 = 0.21. - Jackson A.C., ‘Diabolical effects of rabies encephalitis’, Journal
of NeuroVirology, 2016. - Robinson A. et al., ‘Plasmodium-associated changes in human
odor attract mosquitoes’, PNAS, 2018. - Van Kerckhove K. et al., ‘The Impact of Illness on Social
Networks: Implications for Transmission and Control of Influenza’,
American Journal of Epidemiology, 2013. - Hudson background from: O’Connor J.J. et al., ‘Hilda Phoebe
Hudson’, JOC/EFR, 2002; Warwick A., Masters of Theory:
Cambridge and the Rise of Mathematical Physics (University of
Chicago Press, 2003). - Hudson H., ‘Simple Proof of Euclid II. 9 and 10’, Nature, 1891.
- Chambers S., ‘At last, a degree of honour for 900 Cambridge
women’, The Independent, 30 May 1998. - Ross R. and Hudson H., ‘An Application of the Theory of
Probabilities to the Study of a priori Pathometry. Part II and Part
III’, Proceedings of the Royal Society A, 1917. - Letter GB 0809 Ross/161/11/01. Courtesy, Library & Archives
Service, London School of Hygiene & Tropical Medicine. © Ross
Family; Aubin D. et al., ‘The War of Guns and Mathematics:
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(Greg DeLong)
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