Battling with Lanchester's equations in the classroom

M McCartney

doi:10.1080/0020739X.2021.2022230

Battling with Lanchester's equations in the classroom

M McCartney

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Abstract

A discrete time version of Lanchester’s ‘aimed fire’ model for combat is considered. The resulting equations are treated as a model for repeated battles and the effect of rearmament between battles is investigated. The usefulness of considering the solution of the model in the phase-plane is emphasized and a number of possible classroom extension exercises are included.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	International Journal of Mathematical Education in Science and Technology
Early online date	25 Jan 2022
DOIs	https://doi.org/10.1080/0020739X.2021.2022230
Publication status	Published online - 25 Jan 2022

Bibliographical note

Publisher Copyright:
© 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Lanchester’s equations
discrete time models
warfare
Education
Mathematics (miscellaneous)
Applied Mathematics
discrete-time models

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10.1080/0020739X.2021.2022230

0020739X.2021Final published version, 1.6 MBLicence: CC BY-NC-ND

Cite this

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Battling with Lanchester's equations in the classroom

Abstract

Bibliographical note

Keywords

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