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<p>We construct a system of difference equations aimed at the description of the dynamics of regional redistribution and numerical losses for the alternative opponents struggling for the presence in the common territory. In terms of the strategies of ordered initial distributions, we establish a series of sufficient conditions guaranteeing the minimization of losses in a simple model with three regions. Computer simulations are carried out for a specific example.</p>

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On the Problem of Minimization of Losses in a Model of Dynamical System of Conflict on a Territory with Three Regions

  • 期刊论文

  • 发表日期：

    2026年8月1日

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  • Volodymyr Koshmanenko,
  • Oksana Satur

摘要

We construct a system of difference equations aimed at the description of the dynamics of regional redistribution and numerical losses for the alternative opponents struggling for the presence in the common territory. In terms of the strategies of ordered initial distributions, we establish a series of sufficient conditions guaranteeing the minimization of losses in a simple model with three regions. Computer simulations are carried out for a specific example.