论文标题
分析，在线估算和竞争病毒模型的验证
Analysis, Online Estimation, and Validation of a Competing Virus Model
论文作者
论文摘要
在本文中，我们介绍了一个离散时间竞争的病毒模型以及该模型的假设所需的假设。我们分析了探索其不同平衡的系统。我们提供了从时间序列数据估算模型参数的必要条件，并引入了在线估计算法。我们采用了来自美国农业部的两个相互竞争补贴计划的数据集来通过采用识别技术来验证该模型。据我们所知，这项工作是第一个在离散时间，在线识别时间序列数据的传播参数以及使用真实数据验证的差异参数的竞争性病毒模型的工作。这些新的贡献对于应用很重要，因为实际数据是自然采样的。
In this paper we introduce a discrete time competing virus model and the assumptions necessary for the model to be well posed. We analyze the system exploring its different equilibria. We provide necessary and sufficient conditions for the estimation of the model parameters from time series data and introduce an online estimation algorithm. We employ a dataset of two competing subsidy programs from the US Department of Agriculture to validate the model by employing the identification techniques. To the best of our knowledge, this work is the first to study competing virus models in discrete-time, online identification of spread parameters from time series data, and validation of said models using real data. These new contributions are important for applications since real data is naturally sampled.
