时间简化网络的概率活动驱动模型及其对更高阶动态的应用
Zhihao Han1,2, Longzhao Liu1,2,3,4,5,6, Xin Wang1,2,3,4,5,6
1Institute of Artificial Intelligence, Beihang University, Beijing 100191, China.
我们介绍了一种概率活动驱动 (PAD) 模型,以链接网络结构和动态,生成具有可调节的权力规律和高集群特征的时间上级网络. 这个模型有助于理解复杂的系统和更高层次的传染动力学.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络科学 网络科学
- 统计物理 统计物理
背景情况:
- 网络建模对于模拟动态过程至关重要,但桥梁结构和动态仍然具有挑战性.
- 现实世界的系统表现出复杂的结构性质,如权力规律分布和高集群.
- 了解这些属性对于准确建模系统行为至关重要.
研究的目的:
- 提出一个概率活动驱动 (PAD) 模型,将个人活动和群体交互整合起来.
- 创建具有权力法和高集群特征的时间上层网络.
- 研究网络结构和更高层次的传染动态的共同演变.
主要方法:
- 开发概率活动驱动 (PAD) 模型,包括个人活动率和群体相互作用.
- 参数调整以控制生成网络中的权力规律指数和聚类系数.
- 构建一个具有更高阶传染动态的共同进化框架,使用理论和数值方法进行分析.
主要成果:
- PAD模型成功地产生了具有可调节功率规律和高集群特性的时间上级网络.
- 开发并验证了一种近似算法,用于生成具有特定结构特征的网络.
- 对传染动态的分析表明,高阶相互作用可以促进双稳定性,但在异质活动率下延迟疫情爆发.
结论:
- PAD模型为复杂网络结构的复制和研究高阶动态提供了一个多功能工具.
- 这些发现提供了对网络拓,个体行为和新兴动态之间的相互作用的见解.
- 该模型在需要分析复杂系统的各种领域的应用中具有显著的潜力.
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