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Epidemic Dynamics of Vector-Borne Diseases on Tripartite Networks |
WANG Lingna1, WANG Lingdi2, FU Xinchu1
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1. College of Sciences, Shanghai University, Shanghai 200444, China; 2. Disease Control Center of Suning County, Hebei Province, Suning 062350, China |
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Abstract In this paper, we study the epidemic dynamics on tripartite networks. Many vector-borne diseases spread among three populations (human beings, vectors and animals).In response to such diseases, we propose tripartite networks. Through theoretical analysis, we find the basic reproduction number of tripartite networks is not only relevant to the ratio between the second moment and the average degree, but also to the average degree, which is different with the result on bipartite networks in essence. Through numerical analysis, we also find that the diseases on the tripartite networks are easier to propagate than that on the bipartite networks; under the same contact patterns, four infection rates have the same effect on the basic reproduction number; the diseases exist or disappear on three subnetworks at the same time.
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Received: 22 April 2016
Published: 25 February 2025
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