DYNAMIC MODEL OF AN EMPIRE

This final project discussed the dynamic of rise and fall an empire based on the area of power, population, and number of military. The dynamic of this problem derived from compartemental modelling that divided into three parts. The first part illustrates the dynamics of the expansion and extract...

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Bibliographic Details
Main Author: Dwi Fitriyanti, Siti
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/45944
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Institution: Institut Teknologi Bandung
Language: Indonesia
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Summary:This final project discussed the dynamic of rise and fall an empire based on the area of power, population, and number of military. The dynamic of this problem derived from compartemental modelling that divided into three parts. The first part illustrates the dynamics of the expansion and extraction of vast territories using single compartment. From this part estimated parameter using historical data are obtained.The second and third part simulate the prediction of rise and fall of an empire based on military expansion. The equilibrium and its stability for the second and third part are obtained. As a case of study the Byzantine Empire data as well as Ottoman Caliphate are compared.