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Journal of Biological Dynamics
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On the basic reproduction number in semi-Markov switching networks

Authors: Zhen Jin; Michael Y. Li; Xiaochun Cao; Guirong Liu;

On the basic reproduction number in semi-Markov switching networks

Abstract

Basic reproduction number R0 in network epidemic dynamics is studied in the case of stochastic regime-switching networks. For generality, the dependence between successive networks is considered to follow a continuous time semi-Markov chain. R0 is the weighted average of the basic reproduction numbers of deterministic subnetworks. Its position with respect to 1 can determine epidemic persistence or extinction in theories and simulations.

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Keywords

Stochastic Processes, network epidemic model, extinction, QH301-705.5, Basic Reproduction Number, persistence, Models, Biological, Markov Chains, Environmental sciences, GE1-350, Biology (General), Epidemics, semi-markov switching

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold
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