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Learning with Discrete Least Squares on Multivariate Polynomial Spaces Using Evaluations at Random or Low-Discrepancy Point Sets Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Node-Immunization Strategies in a Stochastic Epidemic Model

Authors : Juan Piccini, Franco Robledo, Pablo Romero

Published in: Machine Learning, Optimization, and Big Data

Publisher: Springer International Publishing

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Abstract

The object under study is an epidemic spread of a disease through individuals. A stochastic process is first introduced, inspired in classical Susceptible, Infected and Removed (SIR) model. In order to jeopardize the epidemic spread, two different immunization strategies are proposed. A combinatorial optimization problem is further formalized. The goal is to minimize the effect of the disease spread, choosing a correct immunization strategy, subject to a budget constraint. We are witness of a counter-intuitive result: in non-virulent scenarios, it is better to immunize common individuals rather than communicative ones. A discussion is provided, together with open problems and trends for future work.

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previous chapter SoC-Based Pattern Recognition Systems for Non Destructive Testing
next chapter An Efficient Numerical Approximation for the Monge-Kantorovich Mass Transfer Problem
Literature
1.
Barabasi, A.: Linked: The New Science of Networks. Perseus Publishing, Cambridge (2002)
2.
Bayati, M., Kim, J.H., Saberi, A.: A sequential algorithm for generating random graphs. In: Charikar, M., Jansen, K., Reingold, O., Rolim, J.D.P. (eds.) RANDOM 2007 and APPROX 2007. LNCS, vol. 4627, pp. 326–340. Springer, Heidelberg (2007) CrossRef
3.
Bollobás, B.: Random Graphs. Academic Press, London (1985)MATH
4.
Fine, P.E.: A commentary on the mechanical analogue to the reed-frost epidemic model. Am. J. Epidemiol. 106(2), 87–100 (1977)
5.
6.
Keeling, M.J., Eames, K.T.: Networks and epidemic models. J. Royal Soc. Interface 2(4), 295–307 (2005)CrossRef
7.
Kenah, E., Robins, J.M.: Network-based analysis of stochastic SIR epidemic models with random and proportionate mixing. J. Theor. Biol. 249(4), 706–722 (2007)MathSciNetCrossRef
8.
Latora, V., Marchiori, M.: Efficient behavior of small-world networks. Phys. Rev. Lett. 87, 198701 (2001)CrossRef
9.
Macdonald, B., Shakarian, P., Howard, N., Moores, G.: Spreaders in the network SIR model: an empirical study (2012). CoRR abs/​1208.​4269
10.
11.
12.
Newman, M.E.J., Strogatz, S.H., Watts, D.J.: Random graphs with arbitrary degree distributions and their applications. Phys. Rev. E 64(2), 026118 (2001)CrossRef
13.
Roberts, F.S.: Bioterrorism: Mathematical Modeling Applications in Homeland Security. Frontiers in Applied Mathematics. Society for Industrial and Applied Mathematics, Philadelphia (PA) (2003)
14.
Santhanam, G.R., Suvorov, Y., Basu, S., Honavar, V.: Verifying intervention policies to counter infection propagation over networks: a model checking approach. In: AAAI (2011)
15.
Shirley, M.D., Rushton, S.P.: The impacts of network topology on disease spread. Ecol. Complex. 2(3), 287–299 (2005)CrossRef
Metadata
Title
Node-Immunization Strategies in a Stochastic Epidemic Model
Authors
Juan Piccini
Franco Robledo
Pablo Romero
Copyright Year
2015
Book
Machine Learning, Optimization, and Big Data

Print ISBN: 978-3-319-27925-1

Electronic ISBN: 978-3-319-27926-8

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-27926-8_19

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