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Efficient control of epidemics spreading on networks: balance between treatment and recovery.

Oleś K, Gudowska-Nowak E, Kleczkowski A - PLoS ONE (2013)

Bottom Line: The differences in models affect choice of the strategy only for very cheap treatment and slow spreading disease.However for the combinations of parameters that are important from the epidemiological perspective (high infectiousness and expensive treatment) the models give similar results.Moreover, even where the choice of the strategy is different, the total cost spent on controlling the epidemic is very similar for both models.

View Article: PubMed Central - PubMed

Affiliation: M. Kac Complex Systems Research Center and M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland. kas@cs.stir.ac.uk

ABSTRACT
We analyse two models describing disease transmission and control on regular and small-world networks. We use simulations to find a control strategy that minimizes the total cost of an outbreak, thus balancing the costs of disease against that of the preventive treatment. The models are similar in their epidemiological part, but differ in how the removed/recovered individuals are treated. The differences in models affect choice of the strategy only for very cheap treatment and slow spreading disease. However for the combinations of parameters that are important from the epidemiological perspective (high infectiousness and expensive treatment) the models give similar results. Moreover, even where the choice of the strategy is different, the total cost spent on controlling the epidemic is very similar for both models.

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Related in: MedlinePlus

Control size,  as a function of both infectiousness, , and treatment cost, , for model 1 (left column) and model 2 (right column).Number of additional links with respect to all the ones that can be added, on the top panel ((a) and (b)): , on the bottom panel ((c) and (d)) –. Other simulation parameters: , , , . Disease spreading on small-world networks.
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pone-0063813-g007: Control size, as a function of both infectiousness, , and treatment cost, , for model 1 (left column) and model 2 (right column).Number of additional links with respect to all the ones that can be added, on the top panel ((a) and (b)): , on the bottom panel ((c) and (d)) –. Other simulation parameters: , , , . Disease spreading on small-world networks.

Mentions: Addition of small-world links does not change the behaviour for small and . However, there are substantial differences for large and the effect differs for the two models. Introducing disorder into the topology by adding long-range links changes ranges of optimal strategy for both considered models, compare fig. 6a, b with fig. 7. In model 1 small number of links, e.g., fig. 7a, extends GS when disease spreads fast and costs are higher. The small number of links in model 2 does not change choice of control strategy, compare fig. 6b with fig. 7b, as in model 1 (top panel in fig. 7). Nonetheless, the total cost of epidemic remains almost the same. For large values of , destroying spatial structure by adding links results in only two effective strategies for highly infectious disease, GS for and NS otherwise, fig. 7c. The higher disorder ( of long range links) in model 2, introduces GS when probability of spreading the epidemic, , increases, fig. 7d.


Efficient control of epidemics spreading on networks: balance between treatment and recovery.

Oleś K, Gudowska-Nowak E, Kleczkowski A - PLoS ONE (2013)

Control size,  as a function of both infectiousness, , and treatment cost, , for model 1 (left column) and model 2 (right column).Number of additional links with respect to all the ones that can be added, on the top panel ((a) and (b)): , on the bottom panel ((c) and (d)) –. Other simulation parameters: , , , . Disease spreading on small-world networks.
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC3672130&req=5

pone-0063813-g007: Control size, as a function of both infectiousness, , and treatment cost, , for model 1 (left column) and model 2 (right column).Number of additional links with respect to all the ones that can be added, on the top panel ((a) and (b)): , on the bottom panel ((c) and (d)) –. Other simulation parameters: , , , . Disease spreading on small-world networks.
Mentions: Addition of small-world links does not change the behaviour for small and . However, there are substantial differences for large and the effect differs for the two models. Introducing disorder into the topology by adding long-range links changes ranges of optimal strategy for both considered models, compare fig. 6a, b with fig. 7. In model 1 small number of links, e.g., fig. 7a, extends GS when disease spreads fast and costs are higher. The small number of links in model 2 does not change choice of control strategy, compare fig. 6b with fig. 7b, as in model 1 (top panel in fig. 7). Nonetheless, the total cost of epidemic remains almost the same. For large values of , destroying spatial structure by adding links results in only two effective strategies for highly infectious disease, GS for and NS otherwise, fig. 7c. The higher disorder ( of long range links) in model 2, introduces GS when probability of spreading the epidemic, , increases, fig. 7d.

Bottom Line: The differences in models affect choice of the strategy only for very cheap treatment and slow spreading disease.However for the combinations of parameters that are important from the epidemiological perspective (high infectiousness and expensive treatment) the models give similar results.Moreover, even where the choice of the strategy is different, the total cost spent on controlling the epidemic is very similar for both models.

View Article: PubMed Central - PubMed

Affiliation: M. Kac Complex Systems Research Center and M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland. kas@cs.stir.ac.uk

ABSTRACT
We analyse two models describing disease transmission and control on regular and small-world networks. We use simulations to find a control strategy that minimizes the total cost of an outbreak, thus balancing the costs of disease against that of the preventive treatment. The models are similar in their epidemiological part, but differ in how the removed/recovered individuals are treated. The differences in models affect choice of the strategy only for very cheap treatment and slow spreading disease. However for the combinations of parameters that are important from the epidemiological perspective (high infectiousness and expensive treatment) the models give similar results. Moreover, even where the choice of the strategy is different, the total cost spent on controlling the epidemic is very similar for both models.

Show MeSH
Related in: MedlinePlus