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Paper Title: Networked Competitive Bivirus SIS Model - Analysis of the Discrete-Time Case
Authors: Sebin Gracy, Yifan Xu, Ji Liu, Tamer Ba ̧sar, C ́esar A. Uribe
This paper studies the problem of simultaneous spread of two viruses, termed virus 1 and virus 2, in a meta-population, under the assumption that said viruses are in competition with each other -- the framework employed is that of the discrete-time networked competitive bivirus susceptible-infected-susceptible (SIS) model. Against this backdrop, we conclusively comment on the overarching behavior of the system, and identify conditions for the existence and stability of various equilibria of the system.
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(a) A simulation with two viruses (red and blue) converging to the DFE; (b) the initial state (both viruses are present in some fraction of every node) and (c) the final state (both viruses are completely eradicated; hence, the nodes are colorless).