Abstract—The paper will discuss some classical epidemic models with the Ornstein-Uhlenbeck process. The mechanism of infectious disease models works in different ways. The influential factors involve population, psychology, environment, climate and so on. Especially, the parameters in models follow some certain assumptions, the Ornstein-Uhlenbeck process. In addition, the Ornstein-Uhlenbeck process was introduced into dynamic models to describe the transmission pattern. Finally, the simulation will provide to illustrate the correctness of the theoretical results. The summary of different models will provide the information for further study about the spread and control of epidemic diseases.

Keywords—Epidemic models, infectious diseases, Ornstein-Uhlenbeck process, partial differential equation, parameters

Cite: Lei Wang, "A Class of Epidemic Models Based on Ornstein-Uhlenbeck Process," International Journal of Applied Physics and Mathematics, vol. 14, no. 4, pp. 114-124, 2024.

Copyright © 2024 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).