Publication result detail

Comparative Analysis and New Field of Application of Lanchester’s Combat Models

NOVOTNÁ, V.; PŮŽA, B.; SHATYRKO, A.

Original Title

Comparative Analysis and New Field of Application of Lanchester’s Combat Models

English Title

Comparative Analysis and New Field of Application of Lanchester’s Combat Models

Type

Paper in proceedings (conference paper)

Original Abstract

: Lanchester’s equations and their solutions, as continuous differential equations, have been studied in first decades of XX century. New approach with the use of the discrete form of Lanchester’s equations, which represent by dynamical systems of difference equations was proposed at the beginning of XXI. This was caused both by the desire to build more adequate models and the improvement of computer technology. We illustrate these models, their solutions and their comparability using historic combat examples, and some student case studies. We show how these well-studied models can be applied in a completely different field - the modeling of economic dynamics problems. We formulate new statements of problems. Namely, there are the models with uncertain parameter in linear part, and models with time-delay argument.

English abstract

: Lanchester’s equations and their solutions, as continuous differential equations, have been studied in first decades of XX century. New approach with the use of the discrete form of Lanchester’s equations, which represent by dynamical systems of difference equations was proposed at the beginning of XXI. This was caused both by the desire to build more adequate models and the improvement of computer technology. We illustrate these models, their solutions and their comparability using historic combat examples, and some student case studies. We show how these well-studied models can be applied in a completely different field - the modeling of economic dynamics problems. We formulate new statements of problems. Namely, there are the models with uncertain parameter in linear part, and models with time-delay argument.

Keywords

Lanchester’s models, continuous and discrete forms, control, economic models, behavior of solutions

Key words in English

Lanchester’s models, continuous and discrete forms, control, economic models, behavior of solutions

Authors

NOVOTNÁ, V.; PŮŽA, B.; SHATYRKO, A.

RIV year

2019

Released

14.06.2018

ISBN

978-80-7582-065-5

Book

Post-conference proceedings of selected papers extended version Conference MITAV-2018

Pages from

118

Pages to

134

Pages count

16

BibTex

@inproceedings{BUT151140,
  author="Veronika {Novotná} and Bedřich {Půža} and Andriy {Shatyrko}",
  title="Comparative Analysis and New Field of Application of Lanchester’s Combat Models
",
  booktitle="Post-conference proceedings of selected papers extended version Conference MITAV-2018",
  year="2018",
  pages="118--134",
  isbn="978-80-7582-065-5"
}