Defence Science and Technology Group, Canberra, ACT, Australia.
School of IT, Deakin University, Melbourne, VIC, Australia.
PLoS One. 2023 Feb 6;18(2):e0281169. doi: 10.1371/journal.pone.0281169. eCollection 2023.
We present a novel mathematical model of two adversarial forces in the vicinity of a non-combatant population in order to explore the impact of each force pursuing specific decision-making strategies. Each force has the opportunity to draw support by enabling the decision-making initiative of the population, in tension with maintaining tactical and organisational effectiveness over their adversary. Each dynamic model component of force, population and decision-making, is defined by the archetypal Lanchester, Lotka-Volterra and Kuramoto-Sakaguchi models, with feedback between each component adding heterogeneity. Developing a scheme where cultural factors determine decision-making strategies for each force, this work highlights the parametric and topological factors that influence favourable results in a non-linear system where physical outcomes are highly dependent on the non-physical and cognitive nature of each force's intended strategy.
我们提出了一个新的数学模型，用于研究两个敌对势力在非战斗人群附近的行为，以探讨每个势力采取特定决策策略的影响。每个势力都有机会通过支持人群的决策主动性来获得支持，同时保持对对手的战术和组织有效性。每个势力的力量、人口和决策的动态模型组件都由典型的兰彻斯特、洛特卡-沃尔泰拉和坂田模型定义，每个组件之间的反馈增加了异质性。在一个文化因素决定每个势力决策策略的方案中，这项工作强调了参数和拓扑因素，这些因素在一个非线性系统中影响有利结果，其中物理结果高度依赖于每个势力预期策略的非物理和认知性质。
