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Modeling Scenario

5-023-FakingGause-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: competition logistic yeast Gause paramecium poplulation

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Abstract

Resource Image 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 competition in the 1930's studies of G. F. Gause in the Soviet Union.

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Article Context

Description

In his book, The Struggle for Existence G. F. Gause studied how best to combine strains of yeast to improve vodka production in the Soviet Union. Before studying yeast he studied strains of paramecium.

Gause presumed logistic growth for all his populations,

He studied species separately from observational data - we will do that here.

Often he noted his populations in units of numbers of organisms per cubic centimeter, and often he would start with just y(0) = 2 ``critters.''

He then went on to study mixed species (say Paramecium cadautum and Parameciam aurelia) or competing growth models. Gause called these equations "equations of the struggle for existence." How proletariat, how Soviet, how Stalinesque!!!

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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