Browsing by Author "Huang, Yu-Jhe"

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Diversity of hysteresis in a fully cooperative coinfection model
(2018-02-01)
Rodriguez, Jorge P.
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Liang, Yu-Hao
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Huang, Yu-Jhe
;
Juang, Jonq
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應用數學系
We propose a fully cooperative coinfection model in which singly infected individuals are more likely to acquire a second disease than susceptible ones and doubly infected individuals are also assumed to be more contagious than singly infected ones. The dynamics of such a fully cooperative coinfection model is investigated through the well-mixed approach. In particular, discontinuous outbreak transitions from the disease free state or the low prevalence state to the high prevalence state can be separately observed as a disease transmission rate crosses a threshold alpha(o) from the below when the epidemic is still in the early stages. Moreover, discontinuous eradications from the high prevalence state to the low prevalence or disease free state are also separately seen as the transmission rate reaches a threshold alpha(e)(< alpha(o)) from the above when the outbreak occurs. Such phenomena constitute three types of hysteresis, where only one type has been identified before. Complete characterization of these three types of hysteresis in terms of parameters measuring the uniformity of the model is both analytically and numerically provided. Published by AIP Publishing.
Global stability for epidemic models on multiplex networks
(2018-05-01)
Huang, Yu-Jhe
;
Juang, Jonq
;
Liang, Yu-Hao
;
Wang, Hsin-Yu
;
應用數學系
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.