Epidemic Spreading with Feedback Mechanism and Time Delay under Migration in Scale-Free Networks

Abstract:

Taking into account the heterogeneity of the underlying networks, an epidemic model with feedback-mechanism, time delay and migrations of individuals on scale-free networks is presented. First, the epidemic dynamics is analyzed via the mean field theory. The spreading critical threshold and equilibriums are derived. The existence of endemic equilibrium is determined by the spreading threshold. Then, the influences of feedback-mechanism, time delay, migrations of individuals and the heterogeneity of the scale-free networks on the spreading threshold and the epidemic steady-state are studied in detail. Numerical simulations are presented to illustrate the results with the theoretical analysis.

• Periodical: Applied Mechanics and Materials (Volume 378)
• Pages: 655-661
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.378.655
• Online since: August 2013
• Authors: Tao Li, Yuan Mei Wang
• Keywords: Epidemic Model, Feedback Mechanism, Scale-Free Network, Threshold, Time Delay

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