论文标题
网络竞争性多病毒SIR模型：分析和可观察性
A Networked Competitive Multi-Virus SIR Model: Analysis and Observability
论文作者
论文摘要
本文提出了一个新型的离散时间多病毒SIR（易感感染的反射）模型，该模型捕获了竞争性流行病在人群网络上的传播。首先，我们为网络模型上所有病毒的感染水平提供了足够的条件，以在指数时间内收敛至零。其次，我们提出了一个观察模型，该模型捕获了每个节点中所有病毒感染水平的总和，该模型代表了被不同病毒感染但具有相似症状的个体。我们提出了足够的条件，可以在本地观察到该模型。我们提出了一个系统状态估计的Luenberger观察者，并通过模拟显示Luenberger观察者的估计误差在病毒死亡之前会收敛到零。
This paper proposes a novel discrete-time multi-virus SIR (susceptible-infected-recovered) model that captures the spread of competing SIR epidemics over a population network. First, we provide a sufficient condition for the infection level of all the viruses over the networked model to converge to zero in exponential time. Second, we propose an observation model which captures the summation of all the viruses' infection levels in each node, which represents the individuals who are infected by different viruses but share similar symptoms. We present a sufficient condition for the model to be locally observable. We propose a Luenberger observer for the system state estimation and show via simulations that the estimation error of the Luenberger observer converges to zero before the viruses die out.
