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This paper discusses the dynamics of the epidemic spreading behaviors for susceptible-infected-recovery (SIR) model on the power-law growth networks, characterized by variable value for exponent 7. We give the general generated algorithm for power-law growth networks, analyze the dynamics behavior for SIR model in complex networks, and introduce the interaction Markov chains mean-field equations as...
This paper discusses the dynamics of the epidemic spreading susceptible-infected-recovery (SIR) model on the stationary growth networks, relating them to the node-connectivity distribution that characterizes the network. We introduce the interaction Markov chains mean-field equations and the stochastic numerical approach to examine the threshold (steady state) and time-independent behaviour for the...
In this paper, we derive the interaction Markov chains (IMC) mean-field equations for dynamics of the epidemic spreading susceptible-infected-recovery (SIR) model that takes place on top of complex homogeneous and heterogeneous networks. These equations are solved numerically by means of a stochastic approach. We use these equations to examine the threshold behaviour and dynamics of the model on small-world...
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