Abstract：
:We study spatial stochastic epidemic models called households models. The households models have more than two states at each vertex of a graph in contrast to the contact process. We show that, in the households models on trees, two thresholds of infection rates characterize epidemics. The global critical infection rate is defined by epidemic occurrence. However, some households may be eventually disease-free even for infection rates above the global critical infection rate, in as far as they are smaller than the local critical point. Whether the global one is smaller than the local one depends on the graph and the model. We show that, in the households models, the global one is smaller than the local one on homogeneous trees.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Sugimine N,Masuda N,Konno N,Aihara Kdoi
10.1016/j.mbs.2008.02.004subject
Has Abstractpub_date
2008-05-01 00:00:00pages
13-7issue
1eissn
0025-5564issn
1879-3134pii
S0025-5564(08)00037-0journal_volume
213pub_type
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