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

conference paper

English

: 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.

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

NOVOTNÁ, V.; PŮŽA, B.; SHATYRKO, A.

14. 6. 2018

978-80-7582-065-5

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

118

134

16