Abstract

Modern conventional warfare consists of multiple forms of battle that can be mathematically modeled using differential equations. One such basic and widely analyzed system of differential equations is the Lanchester Model. In this study we define multiple general cases of the basic Lanchester Model and explore a specific example of each highlighted case. Through computation and numerical integration we then obtain solutions for each of these cases and generate plots and tables to visualize and demonstrate these results. From this information, we lastly draw certain practical conclusions about the specific Lanchester Models in this report and within what criteria they would best be employed both by strategists and on the battlefield.