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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 networks. In this paper, we consider multiple...
This paper considers a discrete-time modulus consensus model in which the interaction among a group of agents is described by a time-dependent, complex-valued, weighted digraph. It is shown that for any sequence of repeatedly jointly strongly connected digraphs, without any assumption on the structure of the complex-valued weights, the system asymptotically reaches modulus consensus. Sufficient conditions...
This paper studies a distributed continuous-time bi-virus model for a system of groups of individuals. An in-depth stability analysis is performed for the healthy and epidemic equilibria. Sensitivity properties of some nontrivial equilibria are also investigated.
A symmetric signed Laplacian matrix uniquely defines a resistive electrical circuit, where the negative weights correspond to negative resistances. The positive semidefiniteness of signed Laplacian matrices is studied in this paper using the concept of effective resistance. We show that a signed Laplacian matrix is positive semidefinite with a simple zero eigenvalue if, and only if, the underlying...
In a recent paper [1], a modified DeGroot-Friedkin model was proposed to study the evolution of the social-confidence levels of individuals in a reflected appraisal mechanism in which a network of n individuals consecutively discuss a sequence of issues. The individuals update their self-confidence levels on one issue in finite time steps, via communicating with their neighbors, instead of waiting...
According to the objective weigh provided by fuzzy iteration methodology, the paper presents the concept of weight tradeoff coefficient, combining subjective and objective weight together. Since the method takes into account, in the meantime, the objective intent of decision-maker and the natural property of alternative, the weight and relative member-ship degree are directly obtained from the recommended...
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