Battling with Lanchester's equations in the classroom

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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 emphasised and a number of possible classroom extension exercises are included.
Original languageEnglish
Pages (from-to)1
Number of pages11
JournalInternational Journal of Mathematical Education in Science and Technology
Publication statusAccepted/In press - 18 Dec 2021


  • Lanchester’s equations
  • discrete time models
  • warfare


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