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When the classic bell curve of the SIR model is compared to MySpace's user numbers (below) the correlation does look quite convincing, but the researchers still make several assumptions that suggest Mark Zuckerberg and co can still sleep easy.
The basic SIR model is formulated by.
The SIR model is suitable to describe the infection of mumps due to its permanent immunity.
The mathematical SIR model is in the form of three compartments: susceptible, infected or removed.
The main parameter of the SIR model is the basic reproduction number, R 0 Open image in new window.
Compared with SI model and SIS model, status transition of node in SIR model is relatively complicated.
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In this paper, classic susceptible-infected (SI) model, susceptible-infected-susceptible (SIS) model and susceptible-infected-removed (SIR) model are applied to multi-hop network based on random way-point (RWP) model, and contact duration of virus is introduced.
Influence factors of virus spreading are analyzed in Section 5. Using the background discussed above, In section 6, SIS model and SIR model are applied to multi-hop network based on RWP model.
In this paper, classic susceptible-infected (SI) model, susceptible-infected-susceptible (SIS) model, and susceptible-infected-removed (SIR) model are applied to multi-hop network based on random way-point (RWP) model [7 9] to analyze virus spreading behaviors.
Since the most influential and theoretical model, the SIR model, was formulated by Kermack and McKendrick in 1927, the geographic transmission of infectious diseases has been becoming an important issue in mathematical epidemiology.
This property suggests that the sample path-based estimator is a robust estimator and can be used in the case when the parameters of the SIR model are unknown, which is a very desirable property since knowing these parameters can be difficult in practice.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com