Posts

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, 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. 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.

_anonymous_0 1921 1921 1923 1923 1921->1923 Martini1921 Martini,1921 Lotka1923 Lotka,1923 Martini1921->Lotka1923 Lotka1925 Lotka,1925 Lotka1923->Lotka1925 Frost1928 Frost,1928 Lotka1923->Frost1928 1925 1925 1923->1925 1926 1926 1925->1926 1927 1927 1926->1927 McKendrick1926 McKendrick,1926 Kermack1927 Kermack,1927 McKendrick1926->Kermack1927 1928 1928 1927->1928 Kermack1932 Kermack,1932 Kermack1927->Kermack1932 Wilson1942 Wilson,1942 Frost1928->Wilson1942 Reed1951 Reed,1951 Frost1928->Reed1951 Abbey1952 Abbey,1952 Frost1928->Abbey1952 1929 1929 1928->1929 Soper1929 Soper,1929 Soper1929->Frost1928 Greenwood1931 Greenwood,1931 Soper1929->Greenwood1931 1931 1931 1929->1931 Greenwood1929 Greenwood,1929 Greenwood1929->Soper1929 Greenwood1929->Greenwood1931 Greenwood1949 Greenwood,1949 Greenwood1931->Greenwood1949 1932 1932 1931->1932 1933 1933 1932->1933 Kermack1933 Kermack,1933 Kermack1932->Kermack1933 1942 1942 1933->1942 1949 1949 1942->1949 1951 1951 1949->1951 1952 1952 1951->1952 1866 1866 1875 1875 1866->1875 Farr1866 Farr,1866 Evans1875 Evans,1875 Farr1866->Evans1875 Ross1904 Ross,1904 Evans1875->Ross1904 Brownlee1906 Brownlee,1906 Evans1875->Brownlee1906 1889 1889 1875->1889 Enko1889 Enko,1889 1904 1904 1889->1904 Bernoulli1766 Bernoulli,1766 1766 1766 1766->1866 Pearson1906 Pearson,1906 Ross1904->Pearson1906 Ross1908 Ross,1908 Ross1904->Ross1908 1906 1906 1904->1906 1907 1907 1906->1907 Pearson1906->Ross1908 Hamer1906 Hamer,1906 Hamer1906->Soper1929 Brownlee1906->Soper1929 Brownlee1906->Hamer1906 Brownlee1907 Brownlee,1907 Brownlee1906->Brownlee1907 1908 1908 1907->1908 Brownlee1911 Brownlee,1911 Brownlee1907->Brownlee1911 Waite1910 Waite,1910 Ross1908->Waite1910 Ross1911 Ross,1911 Ross1908->Ross1911 1910 1910 1908->1910 1911 1911 1910->1911 Waite1910->Lotka1923 Brownlee1915 Brownlee,1915 Brownlee1911->Brownlee1915 Ross1911->Lotka1923 Ross1911->Waite1910 Ross1915 Ross,1915 Ross1911->Ross1915 1915 1915 1911->1915 Brownlee1919 Brownlee,1919 Brownlee1915->Brownlee1919 1916 1916 1915->1916 Ross1915->Brownlee1915 Ross1916 Ross,1916 Ross1915->Ross1916 Ross1917 Ross,1917 Ross1916->Ross1917 1917 1917 1916->1917 Ross1917->Martini1921 Ross1917->Kermack1927 1919 1919 1917->1919 Brownlee1919->Greenwood1929 1919->1921 Year Year Year->1766