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Epidemic processes are used commonly for modeling and analysis of biologicalnetworks, computer networks, and human contact networks. The idea of competingviruses has been explored recently, motivated by the spread of different ideasalong different social networks. Previous studies of competitive viruses havefocused only on two viruses and on static graph structures. In this paper, weconsider 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 anantidote control technique is proposed.

Multi-Competitive Viruses over Static and Time--Varying Networks