منابع مشابه
SIS Epidemic Propagation on Hypergraphs.
Mathematical modelling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact master equations of the propagation process are derived for an arbitrary hypergraph given by its incidence matrix. Based on these, moment closure approxima...
متن کاملENTROPY FOR DTMC SIS EPIDEMIC MODEL
In this paper at rst, a history of mathematical models is given.Next, some basic information about random variables, stochastic processesand Markov chains is introduced. As follows, the entropy for a discrete timeMarkov process is mentioned. After that, the entropy for SIS stochastic modelsis computed, and it is proved that an epidemic will be disappeared after a longtime.
متن کاملentropy for dtmc sis epidemic model
in this paper at rst, a history of mathematical models is given.next, some basic information about random variables, stochastic processesand markov chains is introduced. as follows, the entropy for a discrete timemarkov process is mentioned. after that, the entropy for sis stochastic modelsis computed, and it is proved that an epidemic will be disappeared after a longtime.
متن کاملPerturbative solution to the SIS epidemic on networks
Herein we provide a closed form perturbative solution to a general M -node network SIS model using the transport rates between nodes as a perturbation parameter. We separate the dynamics into a short-time regime and a medium/long-time regime. We solve the short-time dynamics of the system and provide a limit before which our explicit, analytical result of the first-order perturbation for the me...
متن کاملSuper compact pairwise model for SIS epidemic on heterogeneous networks
In this paper we provide the derivation of a super compact pairwise model with only 4 equations in the context of describing susceptible-infected-susceptible (SIS) epidemic dynamics on heterogenous networks. The super compact model is based on a new closure relation that involves not only the average degree but also the second and third moments of the degree distribution. Its derivation uses an...
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ژورنال
عنوان ژورنال: Bulletin of Mathematical Biology
سال: 2016
ISSN: 0092-8240,1522-9602
DOI: 10.1007/s11538-016-0158-0