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| Research on Threshold of Cooperative Propagation Model of Three-layer Scale-free Associated Network |
| XU Yuncheng1, HU Hua1, SUN Xiaojun2
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1. School of Mathematics and statistics, Ning Xia University, Ningxia 756400, China;
2. School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China |
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Abstract Vector-borne diseases account for a high proportion of the infectious diseases in China, which constitutes a serious public health risk. Thus the research on dynamic behavior of vector-borne disease model has been widely concerned by a number of scholars. Aiming at a kind of vector-borne transmission disease. Firstly, a collaborative communication model of three-layer scale-free associated networks is established based on the heterogeneous mean field theory. Secondly, based on the established model, the relative values of global propagation threshold and each isolated subnetworks threshold are analyzed by Cauchy’s interleaving theorem and perturbation theory under the condition that the recovery rates of each subsystem are equal or at least two are unequal. It was found that collaborative communication reduced the transmission threshold and promoted the spread of the disease.
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Received: 12 November 2020
Published: 18 June 2021
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