Influenza outbreaks occur every winter, often leading to school closures. During just one week from January 22 to January 28, 2018, approximately 10,000 school or class closures were reported across Japan. Our research group investigates the effectiveness of school closures and the broader concept of social distancing strategies. Specifically, we aim to understand the dynamics of infectious diseases on adaptively changing networks and develop optimal control methods. Our research utilizes infectious disease transmission models, such as the SIS and SIR models (shown below).
References
| [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 ] |