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Table 1 HomSVT processes

From: Exact analysis of summary statistics for continuous-time discrete-state Markov processes on networks using graph-automorphism lumping

Name

Subject

\(\mathcal {W}\)

Parameters

References

Diagram

SI

Epidemics

{S,I}

β

(Kiss et al. 2017; Pastor-Satorras and Vespignani 2001)

(a)

SIS

"

"

β, γ

(Kiss et al. 2017; Pastor-Satorras et al. 2015)

(b)

SIR

"

{S,I,R}

"

"

(c)

SIRS

"

"

β, γ, δ

"

(d)

SICR

"

{S,I,C,R}

β, γ, Γ, ε, η, μ

(Cao et al. 2014)

(e)

MSEIR

"

{M,S,E,I,R}

β, γ, δ, ε, b

(Pastor-Satorras et al. 2015; Hethcote 2000)

(f)

Voter

Opinion dynamics

{−1,+1}

none

(Sood and Redner 2005; Castellano et al. 2003)

(g)

Nonlinear q-voter

"

"

q

(Castellano et al. 2009)

(h)

Biased voter

"

{0,1}

α, β

Sec. 1

(i)

Constrained voter

"

{L,C,R}

none

(Vazquez et al. 2003)

(j)

Bass

Innovation diffusion

{S,I}

β, μ

(Bass 1969)

(k)

SISa

"

"

β, γ, μ

(Hill et al. 2010)

(l)

LISA

"

{L,I,S,A}

γ, Γ

(Mellor et al. 2015)

(m)

DK

"

{S,I,R}

β, γ

(Daley and Kendall 1964)

(n)

Threshold

"

{S,I}

Mk

(Watts 2002)

(o)

Complex contagion

"

{S0,S1,S2}

β, R1, R2

(Melnik et al. 2013)

(p)