静态和时变网络上的多竞争病毒
Multi-Competitive Viruses over Static and Time--Varying Networks
摘要：
流行病过程通常用于生物网络、计算机网络和人类接触网络的建模和分析。最近，由于不同的思想在不同的社交网络中传播，人们开始探索病毒竞争的概念。以前的研究竞争病毒只集中在两个病毒和静态图结构。在本文中，我们考虑了多个竞争的病毒在静态和动态图结构，并调查在这些系统中的疾病的根除和传播。我们考虑的一类模型的稳定性分析，并提出了解毒剂控制技术。
英文摘要：
Epidemic processes are used commonly for modeling and analysis of biological networks, computer networks, and human contact networks. The idea of competing viruses has been explored recently, motivated by the spread of different ideas along different social networks. Previous studies of competitive viruses have focused only on two viruses and on static graph structures. In this paper, we consider multiple competing viruses over static and dynamic graph structures, and investigate the eradication and propagation of diseases in these systems. Stability analysis for the class of models we consider is performed and an antidote control technique is proposed.
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