1. Epidemic models in well-mixed multiplex networks with distributed time delay.
- Author
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Juang, Jonq and Liang, Yu-Hao
- Subjects
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INFECTIOUS disease transmission , *EPIDEMICS , *MULTIPLEXING , *DISEASE outbreaks , *VIRTUAL reality , *BASIC reproduction number - Abstract
In this paper, we consider an epidemic model in well-mixed multiplex networks with distributed time delay. Specifically, the model consists of two layers of well-mixed networks in the physical and virtual worlds, respectively, where two diffusive processes interact and influence each other within the same individual. We assume that there is a distributed time delay for an individual to become infected, but no delay for an individual to transition from unawareness to awareness. Our main results are as follows: Let R 0 P and R 0 V represent the basic reproduction numbers in the physical and virtual worlds, respectively. First, we demonstrate that the disease will die out for any delay time, provided that R 0 P ≤ 1 or 1 < R 0 P ≤ R 0 V. The latter condition emphasizes the significance of effective information spreading in eradicating the disease. Secondly, in the case of R 0 P > max { 1 , R 0 V } , we establish that the model exhibits an endemic and information saturated equilibrium, denoted as E 3. Additionally, we show that the model is uniformly persistent, indicating the sustained outbreak of the disease. • We explore an epidemic model influenced by human awareness within the framework of a multiplex network. • The latent period of the infectious disease is concerned. • The necessary and sufficient conditions for the uniform persistence of disease are derived. • Our results highlight the crucial role of information spreading in disease eradication. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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