Multi-competitive viruses over time-varying networks with mutations and human awareness ?
Multi-competitive viruses over time-varying networks with mutations and human awareness ?
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DOI：
10.1016/j.automatica.2020.109330
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发表时间：
2021-01-01
期刊：
影响因子：
6.4
通讯作者：
Basar, Tamer
中科院分区：
文献类型：
--
作者：
Pare, Philip E.;Liu, Ji;Basar, Tamer
在本文中，我们引入了一个网络上多个竞争病毒的模型，该模型使用模型的每个状态变量作为一个组或一个亚群的感染百分比来推导。我们证明了该模型是适定性的，并将其与完全概率马尔可夫模型进行了比较。给出了静态图上多病毒模型健康状态（原点）唯一的充要条件。我们还提供了几个充分条件收敛到健康状态的变异病毒在动态网络。我们分析了静态图上的多病毒模型的各种地方病状态，包括提供了平行平衡点存在的充分必要条件。我们进一步扩展模型，包括意识状态，允许节点成为警惕的事实，病毒在系统中传播，从而降低其易感性，并分析这样的模型的均衡。最后，我们提出了几种解毒剂控制技术，并提出了一组说明性的模拟。(c)2020爱思唯尔有限公司保留所有权利。
In this paper, we introduce a model for multiple competing viruses over networks, derived using each state variable of the model as the infection percentage of a group or a subpopulation. We show that the model is well-posed, and also compare it to a full probabilistic Markov model. We provide a necessary and sufficient condition for uniqueness of the healthy state (the origin) of the multi-virus model over static graphs. We also provide several sufficient conditions for convergence to the healthy state for mutating viruses over dynamic networks. We analyze various endemic states of the multi-virus model over static graphs, including providing necessary and sufficient conditions for the existence of parallel equilibria. We further extend the model to include an awareness state, allowing nodes to become alerted to the fact that viruses are spreading in the system and therefore reduce their susceptibility, and analyze the equilibria of such a model. Finally, we propose several antidote control techniques and present a set of illustrative simulations. (c) 2020 Elsevier Ltd. All rights reserved.