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Spreading dynamics on small-world networks with connectivity fluctuations and correlations
1The Simons Center for Systems Biology, Institute for Advanced Study, Princeton, NJ 08540, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
Summary
Connectivity correlations influence how infectious diseases and computer malware spread through networks. Assortative correlations enhance spreading laws, while disassortative correlations diminish them, impacting epidemic thresholds.
Area of Science:
- Network science
- Epidemiology
- Computational science
Background:
- Infectious diseases and computer malwares spread via contact networks.
- These networks exhibit connectivity fluctuations, correlations, and small-world properties.
- Previous work linked fluctuations and small-world properties to power-law spreading.
Purpose of the Study:
- Extend previous findings on network spreading to include connectivity correlations.
- Analyze the impact of assortative and disassortative correlations on spreading dynamics.
- Identify conditions for the absence of an epidemic threshold.
Main Methods:
- Mathematical modeling of network contact structures.
- Analysis of spreading dynamics under varying connectivity properties.
- Theoretical investigation of network-based contagion processes.
Main Results:
- Connectivity correlations significantly alter the range of validity of established spreading laws.
- Assortative correlations enhance the spreading law's applicability.
- Disassortative correlations diminish the spreading law's applicability.
- Defined regions where connectivity fluctuations and degree correlations eliminate epidemic thresholds.
Conclusions:
- Connectivity correlations are crucial factors in understanding disease and malware propagation.
- The findings offer insights into controlling the spread of epidemics and computer viruses.
- Results are applicable to human and computer networks, including information and rumor diffusion.
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