175 research outputs found
Economic and social factors in designing disease control strategies for epidemics on networks
Models for control of epidemics on local, global and small-world networks are
considered, with only partial information accessible about the status of
individuals and their connections. The main goal of an effective control
measure is to stop the epidemic at a lowest possible cost, including treatment
and cost necessary to track the disease spread. We show that delay in detection
of infectious individuals and presence of long-range links are the most
important factors determining the cost. However, the details of long-range
links are usually the least-known element of the social interactions due to
their occasional character and potentially short life-span. We show that under
some conditions on the probability of disease spread, it is advisable to
attempt to track those links. Thus, collecting some additional knowledge about
the network structure might be beneficial to ensure a successful and
cost-effective control.Comment: To be published in Acta Phys. Pol.
Controlling disease spread on networks with incomplete knowledge
Models for control of highly infectious diseases on local, small-world, and scale-free networks are considered, with only partial information accessible about the status of individuals and their connections. We consider a case when individuals can be infectious before showing symptoms and thus before detection. For small to moderately severe incidence of infection with a small number of nonlocal links, it is possible to control disease spread by using purely local methods applied in a neighborhood centered around a detected infectious individual. There exists an optimal radius for such a control neighborhood leading to the lowest severity of the epidemic in terms of economic costs associated with disease and treatment. The efficiency of a local control strategy is very sensitive to the choice of the radius. Below the optimal radius, the local strategy is unsuccessful; the disease spreads throughout the system, necessitating treatment of the whole population. At the other extreme, a strategy involving a neighborhood that is too large controls the disease but is wasteful of resources. It is not possible to stop an epidemic on scale-free networks by preventive actions, unless a large proportion of the population is treated
Improving epidemic control strategies by extended detection
The majority of epidemics eradication programs work in a preventive responsive way. The lack of exact information about the epidemiological status of individuals makes responsive actions less efficient. Here, we demonstrate that additional tests can significantly increase the efficiency of “blind” treatment (vaccination or culling). Eradication strategy consisting of “blind” treatment in very limited local neighbourhood supplemented by extra tests in a little bit larger neighbourhood is able to prevent invasion of even highly infectious diseases and to achieve this at a cost lower than for the “blind” strategy. The effectiveness of the extended strategy depends on such parameters as the test efficiency and test cost
Understanding disease control: influence of epidemiological and economic factors
We present a local spread model of disease transmission on a regular network
and compare different control options ranging from treating the whole
population to local control in a well-defined neighborhood of an infectious
individual. Comparison is based on a total cost of epidemic, including cost of
palliative treatment of ill individuals and preventive cost aimed at
vaccination or culling of susceptible individuals. Disease is characterized by
pre- symptomatic phase which makes detection and control difficult. Three
general strategies emerge, global preventive treatment, local treatment within
a neighborhood of certain size and only palliative treatment with no
prevention. The choice between the strategies depends on relative costs of
palliative and preventive treatment. The details of the local strategy and in
particular the size of the optimal treatment neighborhood weakly depends on
disease infectivity but strongly depends on other epidemiological factors. The
required extend of prevention is proportional to the size of the infection
neighborhood, but this relationship depends on time till detection and time
till treatment in a non-nonlinear (power) law. In addition, we show that the
optimal size of control neighborhood is highly sensitive to the relative cost,
particularly for inefficient detection and control application. These results
have important consequences for design of prevention strategies aiming at
emerging diseases for which parameters are not known in advance
A Cellular Automata Model for Citrus Variagated Chlorosis
A cellular automata model is proposed to analyze the progress of Citrus
Variegated Chlorosis epidemics in S\~ao Paulo oranges plantation. In this model
epidemiological and environmental features, such as motility of sharpshooter
vectors which perform L\'evy flights, hydric and nutritional level of plant
stress and seasonal climatic effects, are included. The observed epidemics data
were quantitatively reproduced by the proposed model varying the parameters
controlling vectors motility, plant stress and initial population of diseased
plants.Comment: 10 pages, 10 figures, Scheduled tentatively for the issue of: 01Nov0
Small-World Networks: Links with long-tailed distributions
Small-world networks (SWN), obtained by randomly adding to a regular
structure additional links (AL), are of current interest. In this article we
explore (based on physical models) a new variant of SWN, in which the
probability of realizing an AL depends on the chemical distance between the
connected sites. We assume a power-law probability distribution and study
random walkers on the network, focussing especially on their probability of
being at the origin. We connect the results to L\'evy Flights, which follow
from a mean field variant of our model.Comment: 11 pages, 4 figures, to appear in Phys.Rev.
A statistical network analysis of the HIV/AIDS epidemics in Cuba
The Cuban contact-tracing detection system set up in 1986 allowed the
reconstruction and analysis of the sexual network underlying the epidemic
(5,389 vertices and 4,073 edges, giant component of 2,386 nodes and 3,168
edges), shedding light onto the spread of HIV and the role of contact-tracing.
Clustering based on modularity optimization provides a better visualization and
understanding of the network, in combination with the study of covariates. The
graph has a globally low but heterogeneous density, with clusters of high
intraconnectivity but low interconnectivity. Though descriptive, our results
pave the way for incorporating structure when studying stochastic SIR epidemics
spreading on social networks
Finding and evaluating community structure in networks
We propose and study a set of algorithms for discovering community structure
in networks -- natural divisions of network nodes into densely connected
subgroups. Our algorithms all share two definitive features: first, they
involve iterative removal of edges from the network to split it into
communities, the edges removed being identified using one of a number of
possible "betweenness" measures, and second, these measures are, crucially,
recalculated after each removal. We also propose a measure for the strength of
the community structure found by our algorithms, which gives us an objective
metric for choosing the number of communities into which a network should be
divided. We demonstrate that our algorithms are highly effective at discovering
community structure in both computer-generated and real-world network data, and
show how they can be used to shed light on the sometimes dauntingly complex
structure of networked systems.Comment: 16 pages, 13 figure
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