Posts

2017-08-22: A rebuttal on the beauty in applying math

2017-04-22: Free googles book library

2016-11-02: In search of Theodore von Karman

2016-09-25: Amath Timeline

2016-02-24: Math errors and risk reporting

2016-02-20: Apple VS FBI

2016-02-19: More Zika may be better than less

2016-02-17: Dependent Non-Commuting Random Variable Systems

2016-01-14: Life at the multifurcation

2015-09-28: AI ain't that smart

2015-06-24: MathEpi citation tree

2015-03-31: Too much STEM is bad

2015-03-24: Dawn of the CRISPR age

2015-02-12: A Comment on How Biased Dispersal can Preclude Competitive Exclusion

2015-02-09: Hamilton's selfish-herd paradox

2015-02-08: Risks and values of microparasite research

2014-11-10: Vaccine mandates and bioethics

2014-10-18: Ebola, travel, president

2014-10-17: Ebola comments

2014-10-12: Ebola numbers

2014-09-23: More stochastic than?

2014-08-17: Feynman's missing method for third-orders?

2014-07-31: CIA spies even on congress

2014-07-16: Rehm on vaccines

2014-06-21: Kurtosis, 4th order diffusion, and wave speed

2014-06-20: Random dispersal speeds invasions

2014-05-06: Preservation of information asymetry in Academia

2014-04-16: Dual numbers are really just calculus infinitessimals

2014-04-14: More on fairer markets

2014-03-18: It's a mad mad mad mad prisoner's dilemma

2014-03-05: Integration techniques: Fourier--Laplace Commutation

2014-02-25: Fiber-bundles for root-polishing in two dimensions

2014-02-17: Is life a simulation or a dream?

2014-01-30: PSU should be infosocialist

2014-01-12: The dark house of math

2014-01-11: Inconsistencies hinder pylab adoption

2013-12-24: Cuvier and the birth of extinction

2013-12-17: Risk Resonance

2013-12-15: The cult of the Levy flight

2013-12-09: 2013 Flu Shots at PSU

2013-12-02: Amazon sucker-punches 60 minutes

2013-11-26: Zombies are REAL, Dr. Tyson!

2013-11-22: Crying wolf over synthetic biology?

2013-11-21: Tilting Drake's Equation

2013-11-18: Why $1^\infty != 1$

2013-11-15: Adobe leaks of PSU data + NSA success accounting

2013-11-14: 60 Minutes misreport on Benghazi

2013-11-11: Making fairer trading markets

2013-11-10: L'Hopital's Rule for Multidimensional Systems

2013-11-09: Using infinitessimals in vector calculus

2013-11-08: Functional Calculus

2013-11-03: Elementary mathematical theory of the health poverty trap

2013-11-02: Proof of the area of a circle using elementary methods

MathEpi citation tree

In the citation graph below, I've attempted to summarize the important early papers (and other work) that started the field of mathematical epidemiology. (Please use your browser's zoom-feature to read). The links represent "documented influence" rather than strict crediting of citations -- for example, Reed and Frost never explicitly acknowledged Lotka's influence on their work, to the best of my knowledge, but given that he was working at Hopkins at the time (by their invite, it seems), they were almost certainly influenced by his research. Also, the list isn't exhaustive -- Brownlee and Ross were particularly prolific, so I've left out several of their incremental works. For an auxillary reference to earlier works, see this timeline on contagion research. Work done in the US and England are color-coded accordingly. Clicking on most nodes will take you to the original source, when available. For a more detailed review, you can start with Serfling's excellent review article. If you're interested in any of these articles, but having trouble getting a copy, feel free to contact me and I might be able to help. Also, Martini's work does not appear to be available in English, so it would be nice to hear a review from somebody.
Zoom in!! Bibtex data is found in the comments of the html.

A Priori Pathology citation tree aka mathematical epidemiology 1920 1920 1921 1921 Spear1920 Spear,1920 Greenwood1929 Greenwood,1929 Spear1920->Greenwood1929 Stallybrass1920 Stallybrass,1920 Stallybrass1920->Spear1920 Greenwood1920 Greenwood,1920 Soper1929 Soper,1929 Greenwood1920->Soper1929 Greenwood1920->Greenwood1929 1923 1923 Martini1921 Martini,1921 Lotka1923 Lotka,1923 Martini1921->Lotka1923 Frost1928 Frost,1928 Lotka1923->Frost1928 Wilson1945 Wilson,1945 Lotka1923->Wilson1945 1926 1926 1927 1927 McKendrick1926 McKendrick,1926 Kermack1927 Kermack,1927 McKendrick1926->Kermack1927 1928 1928 Kermack1932 Kermack,1932 Kermack1927->Kermack1932 1929 1929 Wilson1942 Wilson,1942 Frost1928->Wilson1942 Reed1951 Reed,1951 Frost1928->Reed1951 1931 1931 Soper1929->Frost1928 Greenwood1931 Greenwood,1931 Soper1929->Greenwood1931 Top1938 Top,1938 Soper1929->Top1938 Soper1929->Wilson1942 Greenwood1929->Greenwood1931 Greenwood1935 Greenwood,1935 Greenwood1931->Greenwood1935 Wilson1939 Wilson,1939 Greenwood1931->Wilson1939 1932 1932 1933 1933 Kermack1933 Kermack,1933 Kermack1932->Kermack1933 1935 1935 McKendrick1940 McKendrick,1940 Kermack1933->McKendrick1940 Greenwood1949 Greenwood,1949 Greenwood1935->Greenwood1949 1938 1938 1939 1939 Top1938->Wilson1942 1940 1940 Wilson1939->Wilson1942 1942 1942 McKendrick1940->Wilson1945 1943 1943 Wilson1943 Wilson,1943 Wilson1942->Wilson1943 1945 1945 Wilson1943->Wilson1945 1949 1949 Serfling1952 Serfling,1952 Wilson1945->Serfling1952 1951 1951 Lidwell1951 Lidwell,1951 Greenwood1949->Lidwell1951 Abbey1952 Abbey,1952 Reed1951->Abbey1952 Bailey1957 Bailey,1957 Lidwell1951->Bailey1957 1952 1952 1957 1957 Serfling1952->Bailey1957 Abbey1952->Serfling1952 Farr1840 Farr,1840 Farr1866 Farr,1866 Farr1840->Farr1866 1840 1840 1866 1866 Evans1875 Evans,1875 Farr1866->Evans1875 1875 1875 1889 1889 Ross1904 Ross,1904 Evans1875->Ross1904 Brownlee1906 Brownlee,1906 Evans1875->Brownlee1906 dAlembert1760 dAlembert,1760 1760 1760 1766 1766 Enko1889 Enko,1889 1904 1904 Bernoulli1766 Bernoulli,1766 Bernoulli1766->dAlembert1760 Ross1905 Ross,1905 Ross1904->Ross1905 1905 1905 Pearson1906 Pearson,1906 Ross1905->Pearson1906 Ross1908 Ross,1908 Ross1905->Ross1908 1906 1906 Pearson1906->Ross1908 Brownlee1911 Brownlee,1911 Pearson1906->Brownlee1911 Hamer1906 Hamer,1906 Brownlee1906->Hamer1906 Brownlee1907 Brownlee,1907 Brownlee1906->Brownlee1907 Hamer1906->Soper1929 1907 1907 Greenwood1910 Greenwood,1910 Brownlee1907->Brownlee1911 Ross1915 Ross,1915 Brownlee1907->Ross1915 1908 1908 Waite1910 Waite,1910 Ross1908->Waite1910 Ross1911 Ross,1911 Ross1908->Ross1911 1910 1910 1911 1911 Greenwood1910->Frost1928 Greenwood1911 Greenwood,1911 Greenwood1910->Greenwood1911 Waite1910->Lotka1923 Ross1911->Waite1910 Lotka1912 Lotka,1912 Ross1911->Lotka1912 Ross1911->Ross1915 Brownlee1911->Greenwood1911 Brownlee1915 Brownlee,1915 Brownlee1911->Brownlee1915 Greenwood1911->Greenwood1920 1912 1912 1915 1915 Lotka1912->Lotka1923 Ross1915->Brownlee1915 Ross1916 Ross,1916 Ross1915->Ross1916 Brownlee1915->Frost1928 Brownlee1919 Brownlee,1919 Brownlee1915->Brownlee1919 1916 1916 Ross1917 Ross,1917 Ross1916->Ross1917 1917 1917 Ross1917->Martini1921 Ross1917->McKendrick1926 1919 1919 Brownlee1919->Spear1920 Brownlee1919->Stallybrass1920 Brownlee1919->Soper1929 Brownlee1919->Greenwood1929 Year Year