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Model and Control of Epidemics on a Star-Coupled Interconnected Network |
ZHENG Guoqing, TANG Qinggan, ZHU Guanghu
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School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China |
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Abstract To study the transmission patterns of epidemics in star-couple interconnected networks, we establish an effective degree epidemic model in a two-layer star-coupled network. The network structure corresponds to a transportation system that connects two central cities and the surrounding towns (ignoring the connections between towns). We first calculate the spreading threshold by using the next generation matrix and numerically explore the main influence factors. We then analyze the thresholds in case of different control strategies including cutting node connections and vaccinating susceptible nodes. The results indicate that cutting the connections between center and boundary and vaccinating the center are most effective for disease control. The findings can provide good reference for the modeling and analysis of epidemic dynamics
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Received: 27 July 2016
Published: 16 January 2019
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