TY - JOUR
T1 - Erratum
T2 - Equivalence between non-Markovian and Markovian Dynamics in Epidemic Spreading Processes (Physical Review Letters (2107) 118 (128301) DOI: 10.1103/PhysRevLett.118.128301)
AU - Starnini, Michele
AU - Gleeson, James P.
AU - Bogunã, Marián
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2020/8/7
Y1 - 2020/8/7
N2 - A general formalism is introduced to allow the steady state of non-Markovian processes on networks to be reduced to equivalent Markovian processes on the same substrates. The example of an epidemic spreading process is considered in detail, where all the non-Markovian aspects are shown to be captured within a single parameter, the effective infection rate. Remarkably, this result is independent of the topology of the underlying network, as demonstrated by numerical simulations on two-dimensional lattices and various types of random networks. Furthermore, an analytic approximation for the effective infection rate is introduced, which enables the calculation of the critical point and of the critical exponents for the non-Markovian dynamics.
AB - A general formalism is introduced to allow the steady state of non-Markovian processes on networks to be reduced to equivalent Markovian processes on the same substrates. The example of an epidemic spreading process is considered in detail, where all the non-Markovian aspects are shown to be captured within a single parameter, the effective infection rate. Remarkably, this result is independent of the topology of the underlying network, as demonstrated by numerical simulations on two-dimensional lattices and various types of random networks. Furthermore, an analytic approximation for the effective infection rate is introduced, which enables the calculation of the critical point and of the critical exponents for the non-Markovian dynamics.
UR - http://www.scopus.com/inward/record.url?scp=85089996078&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.125.069902
DO - 10.1103/PhysRevLett.125.069902
M3 - Comment/debate
C2 - 32845672
AN - SCOPUS:85089996078
SN - 0031-9007
VL - 125
JO - Physical Review Letters
JF - Physical Review Letters
IS - 6
M1 - 069902
ER -