Abstract

Citation

Researchers should cite this work as follows:

• Winkel, B. (2022). 6-040-StruggleForExistence-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/G26Z-AM66

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Article Context

Description

We apply an approach to parameter estimation, using two logistic growth models for competing species or strains of one species and historical  data from  G.~F.~Gause's work, Struggle for Existence, in the Soviet Union of the 1930's, for studying paramecia and yeast populations. 

We point out that Gause was interested in  modeling yeast growth (separate species and combined populations) with respect to the production of vodka in state institutions of Mother Russia! In this activity we attack his logistic problem for competition by first  determining the (r, K) parameters in separate logistic population models for  two yeast  species he initially studied. Gause was interested in determining what he called the ``coefficients for the struggle for existence," which model the intensity of the influence of one species upon the other's carrying capacity, all using his data and our several approaches.