07 Aug 2021 | | Contributor(s):: Iordanka Panayotova, Maila Hallare
This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities of R and R studio, an integrated development environment for R, and the gauseR package, a collection...
30 Oct 2020 | | Contributor(s):: Brian Winkel
We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competiton in the 1930's studies of G.~F.~Gause in the Soviet Union.
2011-Winkel, Brian - Parameter Estimates in Differential Equation Models for Population Growth
20 Jun 2015 | | Contributor(s):: Brian Winkel
Winkel, B. 2011. Parameter Estimates in Differential Equation Models for Population Growth. PRIMUS. 21(2): 101-129.See https://www.tandfonline.com/doi/abs/10.1080/10511970.2010.534834 . Article Abstract: We estimate the parameters present in several differential equation...
1935-Gause, G. F. - Experimental Demonstration of Volterra's Periodic Oscillations in the Numbers of Animals
20 Jun 2015 | | Contributor(s):: G. F. Gause
Gause, G. F. 1935. Experimental Demonstration of Volterra's Periodic Oscillations in the Numbers of Animals. The Journal of Experimental Biology. 12:44-48. Available as a free pdf at, http://jeb.biologists.org/content/12/1/44.full.pdf . Accessed 5 December 2014.
04 Jun 2015 | | Contributor(s):: Brian Winkel
We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic model in these situations.