Modeling Population Growth: Exponential and Hyperbolic Modeling

Dean Hathout^{*}

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References

[1] R. B. Banks, “Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics,” Princeton University Press, Princeton, 1999, pp. 138-145.

[2] The United States Census Bureau, “Atlas of World Population History”.
http://www.census.gov/population/international/data/worldpop/table_history.php

[3] Google Public Data.
http://www.google.com/publicdata/explore?ds=d5bncppjof8f9_&met_y=sp_pop_totl&tdim=true&dl=en&hl=en&q=world+population+data

[4] Hyperbolic Growth.
http://en.wikipedia.org/wiki/Hyperbolic_growth

[5] “How Many People Have Ever Lived on Earth?” Population Today: News, Numbers and Analysis, November- December 2002, Vol. 30, No. 8.
http://www.prb.org/pdf/PT_novdec02.pdf

[6] “With Earth’s Population Now at 7 Billion, How Many People Have Ever Lived,” Nancy Szokan, Washington Post, October 31, 2011.
http://www.washingtonpost.com/national/health-science/with-earths-population-now-at-7-billion-how-many-people-have-ever-lived/2011/10/27/gIQA6SLtZM_story.html

[7] A. H. Pollard, “Mathematical Models for the Growth of Human Populations,” Cambridge University Press, Cambridge, 1973.

[8] J. Y. Song, “Population System Control,” Mathematical and Computer Modeling, Vol. 11, Springer-Verlag Publishing, Berlin, 1988, pp. 11-16.