Title	Time of infections of SI epidemics on networks of cities, farms, or individuals
Creator	Ma, Junling
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-01-28T13:51
Description	A novel probabilistic approach is presented for obtaining the probability distribu- tion of infection time for SI disease epidemics on a finite network specified as a fixed weighted digraph. Individuals (network nodes) are classified as either susceptible or infectious, with transmission rates along weighted network arcs. The model is ap- propriate for diseases with no recovery, or for the initial outbreak of diseases with recovery. Our method to analyze the model yields the exact probability distribution for the time at which a given individual in the network becomes infected. This can also be used to compute the probability that any given individual is infected as well as the expected number of infectious individuals at any time. Examples of simple networks illustrate the utility of the method. Nodes can also be identified more generally, such as farms or cities, and the method can be applied to biological networks with estimated transmission rates on the network arcs.
Extent	47.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Victoria
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-07-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0400916
URI	http://hdl.handle.net/2429/79119
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Time of infections of SI epidemics on networks of cities, farms, or individuals Ma, Junling

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