Influences of resource limitations and transmission costs on epidemic simulations and critical thresholds in scale-free networks

Chung Yuan Huang, Yu Shiuan Tsai, Chuen Tsai Sun, Ji Lung Hsieh, Chia Ying Cheng

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Critical thresholds represent one of the most important diffusion indicators of epidemic outbreaks. However, we believe that recent studies have overemphasized ways that the power-law connectivity distribution features of social networks affect epidemic dynamics and critical thresholds. As a result, two important factors have been overlooked: resource limitations and transmission costs associated with social interactions and daily contact. Here we present our results from the simultaneous application of mean-field theory and an agent-based network simulation approach for analyzing the effects of resources and costs on epidemic dynamics and critical thresholds. Our main findings are: (a) a significant critical threshold does exist when resources and costs are taken into consideration, and it has a lower bound whenever contagion events occur in scale-free networks; (b) when transmission costs increase or individual resources decrease, critical contagion thresholds in scale-free networks grow linearly and steady density curves shrink linearly; (c) regardless of whether the resources of individuals obey delta, uniform, or normal distributions, they have the same critical thresholds and epidemic dynamics as long as the average value of usable resources remains the same across different scale-free networks; and (d) the spread of epidemics in scale-free networks remains controllable as long as resources are properly restricted and intervention strategy investments are significantly increased.

Original languageEnglish
Pages (from-to)205-219
Number of pages15
JournalSimulation
Volume85
Issue number3
DOIs
Publication statusPublished - 2009 Apr 28

Fingerprint

Critical Threshold
Scale-free Networks
Complex networks
Resources
Costs
Simulation
Contagion
Mean field theory
Normal distribution
Linearly
Network Simulation
Agent-based Simulation
Social Interaction
Mean-field Theory
Influence
Uniform distribution
Social Networks
Gaussian distribution
Power Law
Connectivity

Keywords

  • Complex networks
  • Computer viruses
  • Contagious diseases
  • Critical thresholds
  • Effective spreading rate
  • Heterogeneous networks
  • Homogeneous networks

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Computer Graphics and Computer-Aided Design

Cite this

Influences of resource limitations and transmission costs on epidemic simulations and critical thresholds in scale-free networks. / Huang, Chung Yuan; Tsai, Yu Shiuan; Sun, Chuen Tsai; Hsieh, Ji Lung; Cheng, Chia Ying.

In: Simulation, Vol. 85, No. 3, 28.04.2009, p. 205-219.

Research output: Contribution to journalArticle

Huang, Chung Yuan ; Tsai, Yu Shiuan ; Sun, Chuen Tsai ; Hsieh, Ji Lung ; Cheng, Chia Ying. / Influences of resource limitations and transmission costs on epidemic simulations and critical thresholds in scale-free networks. In: Simulation. 2009 ; Vol. 85, No. 3. pp. 205-219.
@article{ba57ff71d0ed4fa2bee4cc2954061d40,
title = "Influences of resource limitations and transmission costs on epidemic simulations and critical thresholds in scale-free networks",
abstract = "Critical thresholds represent one of the most important diffusion indicators of epidemic outbreaks. However, we believe that recent studies have overemphasized ways that the power-law connectivity distribution features of social networks affect epidemic dynamics and critical thresholds. As a result, two important factors have been overlooked: resource limitations and transmission costs associated with social interactions and daily contact. Here we present our results from the simultaneous application of mean-field theory and an agent-based network simulation approach for analyzing the effects of resources and costs on epidemic dynamics and critical thresholds. Our main findings are: (a) a significant critical threshold does exist when resources and costs are taken into consideration, and it has a lower bound whenever contagion events occur in scale-free networks; (b) when transmission costs increase or individual resources decrease, critical contagion thresholds in scale-free networks grow linearly and steady density curves shrink linearly; (c) regardless of whether the resources of individuals obey delta, uniform, or normal distributions, they have the same critical thresholds and epidemic dynamics as long as the average value of usable resources remains the same across different scale-free networks; and (d) the spread of epidemics in scale-free networks remains controllable as long as resources are properly restricted and intervention strategy investments are significantly increased.",
keywords = "Complex networks, Computer viruses, Contagious diseases, Critical thresholds, Effective spreading rate, Heterogeneous networks, Homogeneous networks",
author = "Huang, {Chung Yuan} and Tsai, {Yu Shiuan} and Sun, {Chuen Tsai} and Hsieh, {Ji Lung} and Cheng, {Chia Ying}",
year = "2009",
month = "4",
day = "28",
doi = "10.1177/0037549709103775",
language = "English",
volume = "85",
pages = "205--219",
journal = "Simulation",
issn = "0037-5497",
publisher = "SAGE Publications Ltd",
number = "3",

}

TY - JOUR

T1 - Influences of resource limitations and transmission costs on epidemic simulations and critical thresholds in scale-free networks

AU - Huang, Chung Yuan

AU - Tsai, Yu Shiuan

AU - Sun, Chuen Tsai

AU - Hsieh, Ji Lung

AU - Cheng, Chia Ying

PY - 2009/4/28

Y1 - 2009/4/28

N2 - Critical thresholds represent one of the most important diffusion indicators of epidemic outbreaks. However, we believe that recent studies have overemphasized ways that the power-law connectivity distribution features of social networks affect epidemic dynamics and critical thresholds. As a result, two important factors have been overlooked: resource limitations and transmission costs associated with social interactions and daily contact. Here we present our results from the simultaneous application of mean-field theory and an agent-based network simulation approach for analyzing the effects of resources and costs on epidemic dynamics and critical thresholds. Our main findings are: (a) a significant critical threshold does exist when resources and costs are taken into consideration, and it has a lower bound whenever contagion events occur in scale-free networks; (b) when transmission costs increase or individual resources decrease, critical contagion thresholds in scale-free networks grow linearly and steady density curves shrink linearly; (c) regardless of whether the resources of individuals obey delta, uniform, or normal distributions, they have the same critical thresholds and epidemic dynamics as long as the average value of usable resources remains the same across different scale-free networks; and (d) the spread of epidemics in scale-free networks remains controllable as long as resources are properly restricted and intervention strategy investments are significantly increased.

AB - Critical thresholds represent one of the most important diffusion indicators of epidemic outbreaks. However, we believe that recent studies have overemphasized ways that the power-law connectivity distribution features of social networks affect epidemic dynamics and critical thresholds. As a result, two important factors have been overlooked: resource limitations and transmission costs associated with social interactions and daily contact. Here we present our results from the simultaneous application of mean-field theory and an agent-based network simulation approach for analyzing the effects of resources and costs on epidemic dynamics and critical thresholds. Our main findings are: (a) a significant critical threshold does exist when resources and costs are taken into consideration, and it has a lower bound whenever contagion events occur in scale-free networks; (b) when transmission costs increase or individual resources decrease, critical contagion thresholds in scale-free networks grow linearly and steady density curves shrink linearly; (c) regardless of whether the resources of individuals obey delta, uniform, or normal distributions, they have the same critical thresholds and epidemic dynamics as long as the average value of usable resources remains the same across different scale-free networks; and (d) the spread of epidemics in scale-free networks remains controllable as long as resources are properly restricted and intervention strategy investments are significantly increased.

KW - Complex networks

KW - Computer viruses

KW - Contagious diseases

KW - Critical thresholds

KW - Effective spreading rate

KW - Heterogeneous networks

KW - Homogeneous networks

UR - http://www.scopus.com/inward/record.url?scp=65249096112&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65249096112&partnerID=8YFLogxK

U2 - 10.1177/0037549709103775

DO - 10.1177/0037549709103775

M3 - Article

AN - SCOPUS:65249096112

VL - 85

SP - 205

EP - 219

JO - Simulation

JF - Simulation

SN - 0037-5497

IS - 3

ER -