Model of Territorial Conflict and International Military Cooperation
DOI:
https://doi.org/10.46991/BYSU:G/2021.12.3.056Keywords:
Lottka-Volterra model, economic policy, military spending, cooperative game, ordinary differential equationsAbstract
The current paper is devoted to the study of the extension of the Lottka-Volterra model as a means for the modeling of military expenditures for countries interested in one economic region. The problem studied in this paper involves multiple tasks such as problems of military spending, cooperation, interactions between states, steps leading to negotiations or war. As the main model, the extending of the Lottka-Volterra model is studied.
The numerical method for the solution of spline approximation is studied. The system of equations is given as a means for the presentation of countries’ military expenditures behavior. The model given for countries’ military expenditures behavior allows getting trajectories of countries military spending curves during three–five years’ period. As the numerical example for the study of the research outcome the simulation model for five countries interested in one economic region is presented.
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