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All issues Volume 369 (2026) EPJ Web Conf., 369 (2026) 02012 References
Open Access
Issue
EPJ Web Conf.
Volume 369, 2026
4th International Conference on Artificial Intelligence and Applied Mathematics (JIAMA’26)
Article Number 02012
Number of page(s) 14
Section XAI and Data-Driven Optimization in Energy, Environment, and Economic Systems
DOI https://doi.org/10.1051/epjconf/202636902012
Published online 13 May 2026
  1. Kermack, W. O., & McKendrick, A. G. (1927). A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society A, 115(772), 700–721. [Google Scholar]
  2. Anderson, R. M., & May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford University Press. [Google Scholar]
  3. Brauer, F. (2008). Compartmental models in epidemiology. In F. Brauer, P. van den Driessche, & J. Wu (Eds.), Mathematical Epidemiology (Lecture Notes in Mathematics, Vol. 1945). Springer. [Google Scholar]
  4. Capasso, V., & Serio, G. (1978). A generalization of the Kermack–McKendrick deterministic epidemic model. Mathematical Biosciences, 42(1–2), 43–61. [Google Scholar]
  5. Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599–653. [Google Scholar]
  6. Korobeinikov, A., & Wake, G. C. (2002). Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Applied Mathematics Letters, 15(8), 955–960. [Google Scholar]
  7. Allen, L. J. S. (2008). An introduction to stochastic epidemic models. In F. Brauer, P. van den Driessche, & J. Wu (Eds.), Mathematical Epidemiology (Lecture Notes in Mathematics, Vol. 1945). Springer. [Google Scholar]
  8. Anderson, R. M., & May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford University Press. [Google Scholar]
  9. Gomes, M. G. M., White, L. J., & Medley, G. F. (2004). Infection, reinfection, and vaccination under suboptimal immune protection: Epidemiological perspectives. Journal of Theoretical Biology, 228(4), 539–549. [Google Scholar]
  10. Gray, A., Greenhalgh, D., Hu, L., Mao, X., & Pan, J. (2011). A stochastic differential equation SIS epidemic model. SIAM Journal on Applied Mathematics, 71(3), 876–902. [Google Scholar]
  11. Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599–653. [Google Scholar]
  12. van den Driessche, P., & Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180(1–2), 29–48. [Google Scholar]
  13. Allen, L. J. S. (2008). An introduction to stochastic epidemic models. In F. Brauer, P. van den Driessche, & J. Wu (Eds.), Mathematical Epidemiology (Lecture Notes in Mathematics, Vol. 1945). Springer. [Google Scholar]
  14. Applebaum, D. (2009). Lévy Processes and Stochastic Calculus (2nd ed.). Cambridge University Press. [Google Scholar]
  15. Bao, J., Yuan, C., & Mao, X. (2011). Stability in distribution of stochastic differential equations with jumps. Stochastic Processes and their Applications, 121(11), 2409–2431. [Google Scholar]
  16. Øksendal, B., & Sulem, A. (2007). Applied Stochastic Control of Jump Diffusions (2nd ed). Springer. [Google Scholar]
  17. Wang, K., & Wang, W. (2012). Stochastic epidemic models with Lévy jumps. Applied Mathematics Letters, 25(3), 494–498. [Google Scholar]
  18. Zhu, C., & Yin, G. (2009). On competitive Lotka–Volterra model in random environments. Journal of Mathematical Analysis and Applications, 357(1), 154–170. [Google Scholar]
  19. Gray, A., Greenhalgh, D., Hu, L., Mao, X., & Pan, J. (2011). A stochastic differential equation SIS epidemic model. SIAM Journal on Applied Mathematics, 71(3), 876–902. [Google Scholar]
  20. Mao, X., & Yuan, C. (2006). Stochastic Differential Equations with Markovian Switching. Imperial College Press. [Google Scholar]
  21. Yin, G., & Zhu, C. (2010). Hybrid Switching Diffusions: Properties and Applications. Springer. [Google Scholar]
  22. Zhu, C., & Yin, G. (2009). On competitive Lotka–Volterra model in random environments. Journal of Mathematical Analysis and Applications, 357(1), 154–170. [Google Scholar]
  23. Applebaum, D. (2009). Lévy Processes and Stochastic Calculus (2nd ed.). Cambridge University Press. [Google Scholar]
  24. Gray, A., Greenhalgh, D., Hu, L., Mao, X., & Pan, J. (2011). A stochastic differential equation SIS epidemic model. SIAM Journal on Applied Mathematics, 71(3), 876–902. [Google Scholar]
  25. Has’minskii, R. Z. (1980). Stochastic Stability of Differential Equations. Sijthoff & Noordhoff. [Google Scholar]
  26. Khasminskii, R. (2012). Stochastic Stability of Differential Equations (2nd ed.). Springer. [Google Scholar]
  27. Mao, X. (2007). Stochastic Differential Equations and Applications (2nd ed.). Horwood Publishing. [Google Scholar]
  28. Yin, G., & Zhu, C. (2010). Hybrid Switching Diffusions: Properties and Applications. Springer. [Google Scholar]
  29. Allen, L. J. S. (2008). An introduction to stochastic epidemic models. In F. Brauer, P. van den Driessche, & J. Wu (Eds.), Mathematical Epidemiology. Springer. [Google Scholar]
  30. El bakkaoui, K., Méthodes stochastiques innovantes dans l’étude des systèmes dynamiques. Thèse de doctorat en Mathématiques Appliquées, Faculté des Sciences et Techniques de Tanger, Université Abdelmalek Essaâdi, 2025. [Google Scholar]
  31. El idrissi, M., Stochastic Modeling of Epidemiological Dynamics with White and Lévy Noises Doctoral dissertation, Faculty of Sciences and Technology of Tangier, Abdelmalek Essaâdi University, 2025. [Google Scholar]
  32. Capasso, V., & Serio, G. (1978). A generalization of the Kermack–McKendrick deterministic epidemic model. Mathematical Biosciences, 42, 43–61. [Google Scholar]
  33. Mao, X. (2007). Stochastic Differential Equations and Applications (2nd ed.). Horwood Publishing. [Google Scholar]
  34. Van den Driessche, P., & Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180, 29–48. [Google Scholar]
  35. Yin, G., & Zhu, C. (2010). Hybrid Switching Diffusions: Properties and Applications. Springer. [Google Scholar]
  36. Disease dynamics of a probabilistic model with vaccination and nonlinear incidence rate, 2025. [Google Scholar]

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