Epidemics with short and long-range interactions: Role of vector dispersal patterns. Dybiec, B. European Physical Journal B, 2009.
doi  abstract   bibtex   
We study the properties of the SIDRV (Susceptible-Infectious-Detected- Recovered-Vaccinated) model of the epidemic spread with local and non-local infection spread. The local spread is introduced by the nearest neighbors' interactions while the non-local spread is produced by vectors performing a random walk onto the system topology. Within the model we focus on a study of vectors' properties and on the interplay between vectors' characteristics and their dispersal patterns. We search for a type of a random walk which maximizes the time for which vectors are in the infectious state and consequently contribute to the (non-local) infection spread for the longest time. We also search for a type of a random walk which leads to the highest severity of epidemics. On the basis of numerical simulations we can conclude that from the whole considered class of random walks some are favored over others. We also show a very different performance and sensitivity of efficiency measures related to time and epidemics severity. Finally, we assess the role of assumptions taken within the model and discuss its relevance in designing elimination strategies, showing crucial role of local control strategies. © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
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 title = {Epidemics with short and long-range interactions: Role of vector dispersal patterns},
 type = {article},
 year = {2009},
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 abstract = {We study the properties of the SIDRV (Susceptible-Infectious-Detected- Recovered-Vaccinated) model of the epidemic spread with local and non-local infection spread. The local spread is introduced by the nearest neighbors' interactions while the non-local spread is produced by vectors performing a random walk onto the system topology. Within the model we focus on a study of vectors' properties and on the interplay between vectors' characteristics and their dispersal patterns. We search for a type of a random walk which maximizes the time for which vectors are in the infectious state and consequently contribute to the (non-local) infection spread for the longest time. We also search for a type of a random walk which leads to the highest severity of epidemics. On the basis of numerical simulations we can conclude that from the whole considered class of random walks some are favored over others. We also show a very different performance and sensitivity of efficiency measures related to time and epidemics severity. Finally, we assess the role of assumptions taken within the model and discuss its relevance in designing elimination strategies, showing crucial role of local control strategies. © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.},
 bibtype = {article},
 author = {Dybiec, B.},
 doi = {10.1140/epjb/e2009-00403-1},
 journal = {European Physical Journal B},
 number = {4}
}

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