標題: Global stability for epidemic models on multiplex networks
作者: Huang, Yu-Jhe
Juang, Jonq
Liang, Yu-Hao
Wang, Hsin-Yu
應用數學系
Department of Applied Mathematics
關鍵字: Epidemic models;Multiplex networks;Awareness;The basic reproduction number;Global stability
公開日期: 1-May-2018
摘要: In this work, we consider an epidemic model in a two-layer network in which the dynamics of susceptible-infected-susceptible process in the physical layer coexists with that of a cyclic process of unaware-aware-unaware in the virtual layer. For such multiplex network, we shall define the basic reproduction number in the virtual layer, which is similar to the basic reproduction number defined in the physical layer. We show analytically that if and , then the disease and information free equilibrium is globally stable and if and , then the disease free and information saturated equilibrium is globally stable for all initial conditions except at the origin. In the case of , whether the disease dies out or not depends on the competition between how well the information is transmitted in the virtual layer and how contagious the disease is in the physical layer. In particular, it is numerically demonstrated that if the difference in and is greater than the product of , the deviation of from 1 and the relative infection rate for an aware susceptible individual, then the disease dies out. Otherwise, the disease breaks out.
URI: http://dx.doi.org/10.1007/s00285-017-1179-5
http://hdl.handle.net/11536/144644
ISSN: 0303-6812
DOI: 10.1007/s00285-017-1179-5
期刊: JOURNAL OF MATHEMATICAL BIOLOGY
Volume: 76
起始頁: 1339
結束頁: 1356
Appears in Collections:Articles