Investigation of epidemic spreading process on multiplex networks by incorporating fatal properties

Abstract

a b s t r a c tNumerous effort s have been devoted to investigating the network activities and dynamics of isolated networks. Nevertheless, in practice, most complex networks might be interconnected with each other (due to the existence of common components) and exhibit layered properties while the connections on different layers represent various relationships. These types of networks are characterized as multiplex networks. A two-layered multiplex network model (usually composed of a virtual layer sustaining unaware-awareunaware (UAU) dynamics and a physical one supporting susceptible-infected-recovereddead (SIRD) process) is presented to investigate the spreading property of fatal epidemics in this manuscript. Due to the incorporation of the virtual layer, the recovered and dead individuals seem to play different roles in affecting the epidemic spreading process. In details, the corresponding nodes on the virtual layer for the recovered individuals are capable of transmitting information to other individuals, while the corresponding nodes for the dead individuals (which are to be eliminated) on the virtual layer should be removed as well. With the coupled UAU-SIRD model, the relationships between the focused variables and parameters of the epidemic are studied thoroughly. As indicated by the results, the range of affected individuals will be reduced by a large amount with the incorporation of virtual layers. Furthermore, the effects of recovery time on the epidemic spreading process are also investigated aiming to consider various physical conditions. Theoretical analyses are also derived for scenarios with and without required time periods for recovery which validates the reducing effects of incorporating virtual layers on the epidemic spreading process.

Effects of social distancing and isolation on epidemic spreading modeled via dynamical density functional theory

“…( 8 ) to allow for death of infected persons, which occurs at a rate m (cf. SIRD model 67 , 68 ). Details on the microscopic construction of the extended model can be found in the first part of the methods section.…”

The basic reproduction number of the new coronavirus pandemic with mortality for India, the Syrian Arab Republic, the United States, Yemen, China, France, Nigeria and Russia with different rate of cases

“…There are multiple method for estimating the basic reproduction number value and all methods depend on the epidemiology models, in this work we use SIRD model for purpose of estimating the basic reproduction number. 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 The SIRD model is described by four differential equations, and these equations describe the change of the susceptible cases S(t), the change of the infectious cases I(t), the change of the recovered cases R(t) and the change of the deceased cases D(t) with respect to the time. The four equations of the SIRD model are given as follows: Where α 1, α 2 and α 3 are the coefficients of infection, recovery and mortality respectively and N is the population number.…”

Identifying Desirable Function Perturbations in Signaling Pathways Through Stochastic Analysis

“…Such a pathway for caspase3, as shown in Fig. 10, was experimentally verified in [27], [28]. For an illustration, the input signal probabilities are set to p (Insulin) = 0.5, p (EGF) = 0.5, and p (TNF) = 0.5.…”