Epidemic spreading on one-way-coupled networks

Modeling and Simulation on Error Spreading Over Partially and Directionally Interconnected Networks of Virtual Cellular Manufacturing System

“…Thus, the linking strengths coupling different cells are unequal. This model is different from those in [16], [17], and [19].…”

“…Funk et al [16] investigated the effects of the layer overlapping in a two-layer network by extending the bond percolation analysis of two competitive viruses. Wang et al [17] studied the scenario of epidemic spreading on a one-way-coupled network comprising two subnetworks; they found that the basic reproduction number was independent of the cross-infection rate and cross-contact pattern, and it increased rapidly with the growth of inner infection rate if the inner contact pattern was SF. Zuzek et al [18] studied random immunization in a partially overlapped multiplex network and concluded that the critical threshold of the epidemic was dominated by the most heterogeneous layer when the overlapping fraction q was very small.…”

“…In 2020, the elevator company experienced a severe shortage of core components for the trade barrier. Simulation results from the model in [17] showed that the production activities of the elevator manufacturing VCMS would be totally paralyzed. However, the fact was that the elevator manufacturing VCMS returned to normal soon after a short production delay.…”

Epidemic spread in directed interconnected networks

“…Theorem 2. If there exists an interconnected directed network, and R 0 > 1, but some subnetwork's R 0 is less than one, for example R single A 0 < 1, in addition, this network is one-way [16], i.e., there exist no directed edges from subnetwork B to subnetwork A or λ a b = 0. Then there exist two equilibria for model (11), one is DFE E 0 which is a saddle, and another is boundary EE E 1 which is globally asymptotically stable in ∆ − {0}.…”

Online Social Network Emergency Public Event Information Propagation and Nonlinear Mathematical Modeling

“…A simplified version of the epidemic threshold is proposed for undirected networks. References [8,9,15] investigated the mathematical epidemic model, SEIR (SusceptibleExposed-Infected-Removed), through extensive simulations of the effects of social network on epidemic spread in a Small World (SW) network, to understand how an influenza epidemic spreads through a human population. A combined SEIR-SW model was built, to help understand the dynamics of infectious disease in a community and to identify the main characteristics of epidemic transmission and its evolution over time.…”