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Title A short history of mathematical population dynamics / Nicolas Bacaer.
Imprint New York : Springer Verlag, 2011.

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LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
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Subject Mathematical models -- History and criticism.
Population forecasting.
Population genetics.
Alt Name Bacaër, Nicolas.
Description 1 online resource (160 pages) : illustrations
polychrome rdacc
Contents 1. The Fibonacci sequence (1202) -- 2. Halley's life table (1693) -- 3. Euler and the geometric growth of populations (1748-1761) -- 4. Daniel Bernoulli, d'Alembert and the inoculation of smallpox (1760) -- 5. Malthus and the obstacles to geometric growth (1798) -- 6. Verhulst and the logistic equation (1838) -- 7. Bienayme, Cournot and the extinction of family names (1845-1847) -- 8. Mendel and heredity (1865) -- 9. Galton, Watson and the extinction problem (1873-1875) -- 10. Lotka and stable population theory (1907-1911) -- 11. The Hardy-Weinberg law (1908) -- 12. Ross and malaria (1911) -- 13. Lotka, Volterra and the predator-prey system (1920-1926) -- 14. Fisher and natural selection (1922) -- 15. Yule and evolution (1924) -- 16. McKendrick and Kermack on epidemic modelling (1926-1927) -- 17. Haldane and mutations (1927) -- 18. Erlang and Steffensen on the extinction problem (1929-1933) -- 19. Wright and random genetic drift (1931) -- 20. The diffusion of genes (1937) -- 21. The Leslie matrix (1945) -- 22. Percolation and epidemics (1957) -- 23. Game theory and evolution (1973) -- 24. Chaotic populations (1974) -- 25. China's one-child policy (1980) -- 26. Some contemporary problems.
Summary This book traces the history of population dynamics--a theoretical subject closely connected to genetics, ecology, epidemiology and demography--where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. From a different perspective, it also shows the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging. -- from Back Cover.
Note Print version record.
ISBN 9780857291158 (electronic bk.)
0857291157 (electronic bk.)
OCLC # 710149645
Additional Format Print version: Short history of mathematical population dynamics. New York : Springer Verlag, 2011 9780857291141 (OCoLC)668190697.


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