The Logistic Differential Equation

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Abstract

The Logistic Differential Equation. Notes. 7 pp.

Goals from the notes:

MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .

MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometrically

and symbolically.

MATH: To introduce a basic numerical technique for approximation solutions to differential equations.

MATH: To draw and interpret bifurcation diagrams.

BIO: To explore the logistic model, and variations by introducing harvesting.

COMP: To use MAPLE to analyze an ordinary differential equation

Keywords: model, differential equation, logistic, harvest, Maple, bifurcation, numerical methods

Cite this work

Researchers should cite this work as follows:

  • (2018), "The Logistic Differential Equation," https://simiode.org/resources/4457.

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