Abstract
Epidemiology is the study of patterns, causes, and effects of health and disease conditions in a population. It provides critical support for public health by identifying risk factors for disease and targets for preventive medicine. Epidemiology has helped develop methodology used in clinical research and public health studies. Major areas of epidemiological study include disease etiology, disease break, disease surveillance, and comparison of treatment effects such as in clinical trials.
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References
Coddington, E.A.: An Introduction to Ordinary Differential Equations. Dover, New York (1989)
Butcher, J.C.: Numerical Methods for Ordinary Differential Equation. Wiley, New York (2008)
Strang, G.: Linear Algebra and Its Applications, 4th edn. Brooks/Cole, Belmont (2005)
Gantmacher, F.R.: The Theory of Matrices, vol. 2. Chelsea, New York (1959)
van den Driessche, P., Watmough, J.: Further notes on the basic reproduction number. In: Mathematical Epidemiology, pp. 159–178. Springer, Berlin/Heidelberg (2008)
Hale, J.K., Kocak, H.: Dynamics and Bifurcations. Springer, New York (1991)
Friedman, A., Hao, W., Hu, B.: A free boundary problem for steady small plaques in the artery and their stability. J. Diff. Eqs. 259, 1227–1255 (2015)
Louzoun, Y., Xue, C., Lesinski, G.B., Friedman, A.: A mathematical model for pancreatic cancer growth and treatment. J. Theor. Biol. 351, 74–82 (2014)
Friedman, A., Tian, J.P., Fulci, G., Chiocca, E.A., Wang, J.: Glioma virotherapy: the effects of innate immune suppression and increased viral replication capacity. Cancer Res. 66, 2314–2319 (2006)
Day, J., Friedman, A., Schlesinger, L.S.: Modeling the immune rheostat of macrophages in the lung in response to infection. Proc. Natl. Acad. Sci. USA 106, 11246–11251 (2009)
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Chou, CS., Friedman, A. (2016). Spread of Disease. In: Introduction to Mathematical Biology. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-29638-8_9
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DOI: https://doi.org/10.1007/978-3-319-29638-8_9
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