2018-Blomhøj, M. , T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes.

By Brian Winkel

SIMIODE, Chardon OH USA

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Abstract

M. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp.


    Chapter 1 - Compartment Models

Background: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in applied science, and compartment models are among the most important tools used for analyzing dynamical systems.

Aim: The aim with this chapter is to learn more about development of compartment models.

    Chapter 2 - Differential Equations

Background: Mathematical modeling of dynamical phenomena often gives rise to differential equations. As a result it is essential for the modeler to understand basic concepts of differential equations. The modeler should be able to identify differential equations as well as have knowledge of various constructs for solving differential equations.

Aim: The aim with this chapter is to learn to derive differential equations for a given problem and to be aware of principles for analysis and solution of differential equations.

    Chapter 3 - Systems of differential equations

Prerequisites: Knowledge of first order differential equations, modeling using compartments, and numerical solutions of first order differential equations.

Background: Modeling of dynamical phenomena often involves more than one variable, and typically the variables depend on each other. When modeled, such phenomena gives rise to systems of coupled differential equations. To solve real problems it is necessary to obtain knowledge of the basic principles for systems of coupled equations including solution and analysis methods.

Aim: The aim with this chapter is to obtain an understanding of systems of differential equations, and to teach some of the basic techniques needed to solve systems of coupled first order differential equations.

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Researchers should cite this work as follows:

  • Brian Winkel (2020), "2018-Blomhøj, M. , T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes.," https://www.simiode.org/resources/7285.

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