Volume 116, Number 4, November 2016
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||03 January 2017|
Threshold-based epidemic dynamics in systems with memory
1 Indian Institute of Technology Kharagpur - 721302 Kharagpur, India
2 Wroclaw University of Technology - 27 50-370 Wrocaw, Poland
3 Technical University Berlin - 10623 Berlin, Germany
Received: 5 September 2016
Accepted: 16 December 2016
In this article we analyze an epidemic dynamics model (SI) where we assume that there are k susceptible states, that is a node would require multiple contacts before it gets infected. In specific, we provide a theoretical framework for studying diffusion rate in complete graphs and d-regular trees with extensions to dense random graphs. We observe that irrespective of the topology, the diffusion process could be divided into two distinct phases: i) the initial phase, where the diffusion process is slow, followed by ii) the residual phase where the diffusion rate increases manifold. In fact, the initial phase acts as an indicator for the total diffusion time in dense graphs. The most remarkable lesson from this investigation is that such a diffusion process could be controlled and even contained if acted upon within its initial phase.
PACS: 89.75.Hc – Networks and genealogical trees / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2016
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