Abstract
The phenomenon of epidemic spreading in a population with a hierarchical structure of interpersonal interactions is described and investigated numerically. The SIS model with temporal immunity to a disease and a time of incubation is used. In our model spatial localization of individuals belonging to different social groups, effectiveness of different interpersonal interactions and the mobility of a contemporary community are taken into account. The structure of interpersonal connections is based on a scale-free network. The influence of the structure of the social network on typical relations characterizing the spreading process, like a range of epidemic and epidemic curves, is discussed. The probability that endemic state occurs is also calculated. Surprisingly it occurs, that less contagious diseases has greater chance to survive. The influence of preventive vaccinations on the spreading process is investigated and critical range of vaccinations that is sufficient for the suppression of an epidemic is calculated. Our results of numerical calculations are compared with the solutions of the master equation for the spreading process, and good agreement is found. (author)
Grabowski, A;
[1]
Kosinski, R A;
[1]
Faculty of Physics, Warsaw University of Technology, Warsaw (Poland)]
- Central Institute for Labour Protection, National Research Institute, Warsaw (Poland)
Citation Formats
Grabowski, A, Kosinski, R A, and Faculty of Physics, Warsaw University of Technology, Warsaw (Poland)].
The SIS Model of Epidemic Spreading in a Hierarchical Social Network[PACS numbers: 05.40.-a, 87.10.+e, 89.75.-k].
Poland: N. p.,
2005.
Web.
Grabowski, A, Kosinski, R A, & Faculty of Physics, Warsaw University of Technology, Warsaw (Poland)].
The SIS Model of Epidemic Spreading in a Hierarchical Social Network[PACS numbers: 05.40.-a, 87.10.+e, 89.75.-k].
Poland.
Grabowski, A, Kosinski, R A, and Faculty of Physics, Warsaw University of Technology, Warsaw (Poland)].
2005.
"The SIS Model of Epidemic Spreading in a Hierarchical Social Network[PACS numbers: 05.40.-a, 87.10.+e, 89.75.-k]."
Poland.
@misc{etde_20617162,
title = {The SIS Model of Epidemic Spreading in a Hierarchical Social Network[PACS numbers: 05.40.-a, 87.10.+e, 89.75.-k]}
author = {Grabowski, A, Kosinski, R A, and Faculty of Physics, Warsaw University of Technology, Warsaw (Poland)]}
abstractNote = {The phenomenon of epidemic spreading in a population with a hierarchical structure of interpersonal interactions is described and investigated numerically. The SIS model with temporal immunity to a disease and a time of incubation is used. In our model spatial localization of individuals belonging to different social groups, effectiveness of different interpersonal interactions and the mobility of a contemporary community are taken into account. The structure of interpersonal connections is based on a scale-free network. The influence of the structure of the social network on typical relations characterizing the spreading process, like a range of epidemic and epidemic curves, is discussed. The probability that endemic state occurs is also calculated. Surprisingly it occurs, that less contagious diseases has greater chance to survive. The influence of preventive vaccinations on the spreading process is investigated and critical range of vaccinations that is sufficient for the suppression of an epidemic is calculated. Our results of numerical calculations are compared with the solutions of the master equation for the spreading process, and good agreement is found. (author)}
journal = []
issue = {5}
volume = {B36}
journal type = {AC}
place = {Poland}
year = {2005}
month = {May}
}
title = {The SIS Model of Epidemic Spreading in a Hierarchical Social Network[PACS numbers: 05.40.-a, 87.10.+e, 89.75.-k]}
author = {Grabowski, A, Kosinski, R A, and Faculty of Physics, Warsaw University of Technology, Warsaw (Poland)]}
abstractNote = {The phenomenon of epidemic spreading in a population with a hierarchical structure of interpersonal interactions is described and investigated numerically. The SIS model with temporal immunity to a disease and a time of incubation is used. In our model spatial localization of individuals belonging to different social groups, effectiveness of different interpersonal interactions and the mobility of a contemporary community are taken into account. The structure of interpersonal connections is based on a scale-free network. The influence of the structure of the social network on typical relations characterizing the spreading process, like a range of epidemic and epidemic curves, is discussed. The probability that endemic state occurs is also calculated. Surprisingly it occurs, that less contagious diseases has greater chance to survive. The influence of preventive vaccinations on the spreading process is investigated and critical range of vaccinations that is sufficient for the suppression of an epidemic is calculated. Our results of numerical calculations are compared with the solutions of the master equation for the spreading process, and good agreement is found. (author)}
journal = []
issue = {5}
volume = {B36}
journal type = {AC}
place = {Poland}
year = {2005}
month = {May}
}