Posts

2018-09-10: Feeding a controversy

2018-06-11: Glow worm distribution

2018-04-23: Outlawing risk

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 circle area formula 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 and Thomson's works do 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.
1908 1908 1910 1910 Ross1908 Ross Waite1910 Waite Ross1908->Waite1910 Ross1911 Ross Ross1908->Ross1911 1933 1933 1935 1935 Kermack1933 Kermack Macdonald1950 Macdonald Kermack1933->Macdonald1950 McKendrick1940 McKendrick Kermack1933->McKendrick1940 Top1938 Top Wilson1942 Wilson Top1938->Wilson1942 1938 1938 1939 1939 1840 1840 1866 1866 Farr1840 Farr Farr1866 Farr Farr1840->Farr1866 1875 1875 Evans1875 Evans Farr1866->Evans1875 1922 1922 1923 1923 Thomson1922 Thomson Lotka1923 Lotka Thomson1922->Lotka1923 Kermack1932 Kermack Kermack1932->Kermack1933 Zinsser1932 Zinsser Wilson1939 Wilson Zinsser1932->Wilson1939 1932 1932 Wilson1943 Wilson Wilson1942->Wilson1943 1942 1942 1943 1943 1760 1760 1766 1766 dAlembert1760 dAlembert 1940 1940 Wilson1939->Wilson1942 McKendrick1926 McKendrick Kermack1927 Kermack McKendrick1926->Kermack1927 1926 1926 1927 1927 1947 1947 1949 1949 Walton1947 Walton Walton1949 Walton Walton1947->Walton1949 1957 1957 Bailey1957 Bailey Macdonald1952 Macdonald Macdonald1950->Macdonald1952 1950 1950 1951 1951 Waite1910->Lotka1923 1911 1911 Greenwood1910 Greenwood Greenwood1911 Greenwood Greenwood1910->Greenwood1911 Wilson1945 Wilson McKendrick1940->Wilson1945 1952 1952 Serfling1952 Serfling Serfling1952->Bailey1957 Abbey1952 Abbey Abbey1952->Serfling1952 Bernoulli1766 Bernoulli Bernoulli1766->dAlembert1760 Walton1949->Macdonald1950 Greenwood1949 Greenwood Lidwell1951 Lidwell Greenwood1949->Lidwell1951 1889 1889 Brownlee1906 Brownlee Evans1875->Brownlee1906 Ross1904 Ross Evans1875->Ross1904 Stocks1930 Stocks Stocks1930->Top1938 1930 1930 1931 1931 Lidwell1951->Bailey1957 Reed1951 Reed Reed1951->Abbey1952 Greenwood1931 Greenwood Greenwood1931->Wilson1939 Greenwood1935 Greenwood Greenwood1931->Greenwood1935 Martini1921 Martini Martini1921->Lotka1923 1921 1921 Ross1911->Waite1910 Ross1915 Ross Ross1911->Ross1915 Lotka1912 Lotka Ross1911->Lotka1912 1912 1912 Brownlee1911 Brownlee Brownlee1911->Greenwood1911 Brownlee1915 Brownlee Brownlee1911->Brownlee1915 Greenwood1916 Greenwood Greenwood1911->Greenwood1916 1916 1916 1917 1917 Greenwood1920 Greenwood Greenwood1916->Greenwood1920 Frost1928 Frost Greenwood1916->Frost1928 Ross1916 Ross Ross1916->Greenwood1916 Ross1917 Ross Ross1916->Ross1917 Hamer1906 Hamer Soper1929 Soper Hamer1906->Soper1929 Stocks1928 Stocks Hamer1906->Stocks1928 1906 1906 Brownlee1906->Brownlee1911 Brownlee1906->Hamer1906 Brownlee1906->Ross1915 Brownlee1906->Stocks1928 Pearson1906 Pearson Pearson1906->Ross1908 Pearson1906->Brownlee1911 Stallybrass1920 Stallybrass Spear1920 Spear Stallybrass1920->Spear1920 Greenwood1929 Greenwood Spear1920->Greenwood1929 1920 1920 Greenwood1920->Greenwood1929 Greenwood1920->Soper1929 Ross1929 Ross 1929 1929 Greenwood1929->Greenwood1931 Soper1929->Top1938 Soper1929->Zinsser1932 Soper1929->Macdonald1950 Soper1929->McKendrick1940 Soper1929->Stocks1930 Soper1929->Greenwood1931 Soper1929->Frost1928 1928 1928 Kermack1927->Kermack1932 Ross1915->Ross1916 Ross1915->Brownlee1915 Brownlee1915->Macdonald1950 Brownlee1915->McKendrick1940 Brownlee1915->Ross1916 Brownlee1915->Frost1928 Brownlee1919 Brownlee Brownlee1915->Brownlee1919 1915 1915 1945 1945 Wilson1945->Serfling1952 Ross1905 Ross Ross1904->Ross1905 1904 1904 1905 1905 Stocks1928->Stocks1930 Frost1928->Zinsser1932 Frost1928->Reed1951 Ross1905->Ross1908 Ross1905->Pearson1906 Lotka1923->Macdonald1952 Lotka1923->Wilson1945 Lotka1923->Frost1928 Lotka1912->Lotka1923 Ross1917->McKendrick1926 Ross1917->Walton1947 Ross1917->Macdonald1950 Ross1917->Martini1921 Ross1917->Ross1929 1919 1919 Greenwood1935->Greenwood1949 Enko1889 Enko Brownlee1919->Stallybrass1920 Brownlee1919->Spear1920 Brownlee1919->Greenwood1929 Brownlee1919->Soper1929 Wilson1943->Wilson1945 Year Year