მათემატიკური მოდელები ასიმეტრიული ომისთვის

Abstract

Differential equations developed by William Lanchester for combat models are still used by military theorists in traditional and asymmetric wars. The paper focuses on the asymmetric situation encountered in narrow exits on the battlefield, where it is impossible to concentrate the entire firepower. Based on the application of the Lancaster Equation, it is determined that in order to achieve parity, it is necessary to destroy targets by sequentially massaging fire. The mathematical model proposed for the destruction of forces by divisions even allows to determine how to divide the opposing forces into the optimal number for each battle. Based on the research, the influence of the time factor on the element of surprise is determined and a mathematical model is developed, which can determine the effective period of fighting the opponent.