流感每年冬季都会流行,导致频繁的班级停课。仅在2018年1月22日至28日这一周内,日本全国就发生了约1万起班级停课和年级停课的情况。我们的研究小组致力于验证班级停课以及其他广义的社会距离策略的有效性。特别是,我们的目标是理解适应性变化网络上的传染病传播动力学,并开发其优化控制方法。研究中使用了SIS模型和SIR模型等传染病传播模型,以更好地分析和控制传染病的传播过程。
参考文献
[12] | R. Liu, M. Ogura, E. F. Dos Reis, and N. Masuda, “Effects of concurrency on epidemic spreading in Markovian temporal networks,” European Journal of Applied Mathematics, vol. 35, no. 3, pp. 430-461, 2024. [ DOI | arXiv | http ] |
[11] | 小蔵正輝, “Moment closureを用いたネットワーク化SISモデルの解析,” 線形代数的グラフ理論とその応用, 2023. |
[10] | M. Ogura and C. Nowzari, “Special issue: modeling, analysis, and control of epidemics in networks,” Mathematical Biosciences and Engineering, vol. 20, no. 5, pp. 8446-8447, 2023. [ DOI | http ] |
[9] | K. Hashimoto, Y. Onoue, M. Ogura, and T. Ushio, “Event-triggered control for mitigating SIS spreading processes,” Annual Reviews in Control, vol. 52, pp. 479-494, 2021. [ DOI | arXiv | http ] |
[8] | 永原正章 and 小蔵正輝, “パンデミックとシステム・制御・ネットワーク理論,” 計測と制御, vol. 60, no. 9, pp. 641-646, 2021. [ DOI | http ] |
[7] | 小蔵正輝, “中心性を使った感染症の制御,” 経済セミナー, no. 717, pp. 42-46, 2020. [ .html ] |
[6] | N. Masuda, V. M. Preciado, and M. Ogura, “Analysis of the susceptible-infected-susceptible epidemic dynamics in networks via the non-backtracking matrix,” IMA Journal of Applied Mathematics, vol. 85, no. 2, pp. 214-230, 2020. [ arXiv | http ] |
[5] | M. Ogura, W. Mei, and K. Sugimoto, “Upper-bounding dynamics on networked synergistic susceptible-infected-susceptible model,” in SICE Annual Conference 2019, 2019, pp. 1430-1431. |
[4] | M. Ogura, V. M. Preciado, and N. Masuda, “Optimal containment of epidemics over temporal activity-driven networks,” SIAM Journal on Applied Mathematics, vol. 79, no. 3, pp. 986-1006, 2019. [ DOI | arXiv | http ] |
[3] | M. Ogura and V. M. Preciado, “Second-order moment-closure for tighter epidemic thresholds,” Systems & Control Letters, vol. 113, pp. 59-64, 2018. [ DOI | arXiv | http ] |
[2] | 小蔵正輝, “テンポラルネットワーク上の伝播過程,” 計測と制御, vol. 55, no. 11, pp. 942-947, 2016. [ DOI | http ] |
[1] | M. Ogura and V. M. Preciado, “Stability of spreading processes over time-varying large-scale networks,” IEEE Transactions on Network Science and Engineering, vol. 3, no. 1, pp. 44-57, 2016. Runner-up of 2019 IEEE TNSE Best Paper Award. [ DOI | arXiv | http ] |