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physics.soc-ph2016★ 10 cited
Sudden spreading of infections in an epidemic model with a finite seed fraction
Takehisa Hasegawa, Koji Nemoto
We study a simple case of the susceptible-weakened-infected-removed model in regular random graphs in a situation where an epidemic starts from a finite fraction of initially infec…
cond-mat.stat-mech2016★ 5 cited
Local cluster-size statistics in the critical phase of bond percolation on the Cayley tree
Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
We study bond percolation of the Cayley tree (CT) by focusing on the probability distribution function (PDF) of a local variable, namely, the size of the cluster including a select…