TY - JOUR
T1 - Classification of link-breaking and link-creation updating rules in susceptible-infected-susceptible epidemics on adaptive networks
AU - Achterberg, Massimo A.
AU - Dubbeldam, Johan L.A.
AU - Van Mieghem, Piet
AU - Stam, Cornelis J.
PY - 2020
Y1 - 2020
N2 - In the classical susceptible-infected-susceptible (SIS) model, a disease or infection spreads over a given, mostly fixed graph. However, in many real complex networks, the topology of the underlying graph can change due to the influence of the dynamical process. In this paper, besides the spreading process, the network adaptively changes its topology based on the states of the nodes in the network. An entire class of link-breaking and link-creation mechanisms, which we name Generalized Adaptive SIS (G-ASIS), is presented and analyzed. For each instance of G-ASIS using the complete graph as initial network, the relation between the epidemic threshold and the effective link-breaking rate is determined to be linear, constant, or unknown. Additionally, we show that there exist link-breaking and link-creation mechanisms for which the metastable state does not exist. We confirm our theoretical results with several numerical simulations.
AB - In the classical susceptible-infected-susceptible (SIS) model, a disease or infection spreads over a given, mostly fixed graph. However, in many real complex networks, the topology of the underlying graph can change due to the influence of the dynamical process. In this paper, besides the spreading process, the network adaptively changes its topology based on the states of the nodes in the network. An entire class of link-breaking and link-creation mechanisms, which we name Generalized Adaptive SIS (G-ASIS), is presented and analyzed. For each instance of G-ASIS using the complete graph as initial network, the relation between the epidemic threshold and the effective link-breaking rate is determined to be linear, constant, or unknown. Additionally, we show that there exist link-breaking and link-creation mechanisms for which the metastable state does not exist. We confirm our theoretical results with several numerical simulations.
UR - http://www.scopus.com/inward/record.url?scp=85086992627&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.101.052302
DO - 10.1103/PhysRevE.101.052302
M3 - Article
C2 - 32575241
SN - 2470-0045
VL - 101
SP - 052302-1 - 052302-19
JO - Physical Review E
JF - Physical Review E
IS - 5
M1 - 052302
ER -