Language：Others   Publishing type：Research paper (scientific journal)  

DOI： 10.1103/physrevresearch.5.043123

Language：Others   Publishing type：Research paper (scientific journal)  

Abstract

New ideas and technologies adopted by a small number of individuals occasionally spread globally through a complex web of social ties. Here, we present a simple and general approximation method, namely, a message-passing approach, that allows us to describe the diffusion processes on (sparse) random networks in an almost exact manner. We consider two classes of binary-action games where the best pure strategies for individual players are characterized as variants of the threshold rule. We verify that the dynamics of diffusion observed on synthetic networks are accurately replicated by the message-passing equation, whose fixed point corresponds to a Nash equilibrium, while the conventional mean-field method tends to overestimate the size and frequency of diffusion. Generalized cascade conditions under which a global diffusion can occur are also provided. We extend the framework to analyze multiplex networks in which social interactions take place in multiple layers.

DOI： 10.1007/s00199-022-01457-x

Language：English   Publishing type：Research paper (scientific journal)  

DOI： 10.1016/j.jedc.2022.104561

Language：English   Publishing type：Research paper (scientific journal)  

BACKGROUND: Facing a global epidemic of new infectious diseases such as COVID-19, non-pharmaceutical interventions (NPIs), which reduce transmission rates without medical actions, are being implemented around the world to mitigate spreads. One of the problems in assessing the effects of NPIs is that different NPIs have been implemented at different times based on the situation of each country; therefore, few assumptions can be shared about how the introduction of policies affects the patient population. Mathematical models can contribute to further understanding these phenomena by obtaining analytical solutions as well as numerical simulations. METHODS AND RESULTS: In this study, an NPI was introduced into the SIR model for a conceptual study of infectious diseases under the condition that the transmission rate was reduced to a fixed value only once within a finite time duration, and its effect was analyzed numerically and theoretically. It was analytically shown that the maximum fraction of infected individuals and the final size could be larger if the intervention starts too early. The analytical results also suggested that more individuals may be infected at the peak of the second wave with a stronger intervention. CONCLUSIONS: This study provides quantitative relationship between the strength of a one-shot intervention and the reduction in the number of patients with no approximation. This suggests the importance of the strength and time of NPIs, although detailed studies are necessary for the implementation of NPIs in complicated real-world environments as the model used in this study is based on various simplifications.

DOI： 10.1186/s12879-022-07403-5

Language：English   Publishing type：Research paper (scientific journal)  

Language：Others  

The Effect of Concurrency on Epidemic Threshold in Time-Varying Networks in book "Temporal Network Theory"

Event date： 2021.3

Language：Japanese  

Country：Other  

登録番号2６５８
講演番号13aL2-1

Language：Others  

Country：Other  

Language：English  

Country：Other  

Language：English  

Country：Other  

Language：Japanese  

Country：Other  

Language：Japanese  

27pAJ-5 The relation between synaptic connections and the modulation of collective activity

Language：Japanese  

27pAJ-11 Bursting transition in a linear self-exciting point process

Type：Competition, symposium, etc. 

Number of participants：80

Type：Peer review 

Number of peer-reviewed articles in foreign language journals：1