<p>To explore the integrated impact of the Allee effect and stochastic disturbances on the mechanism of infectious disease transmission, a stochastic SIR epidemic system with Markov chain and logarithmic Ornstein-Uhlenbeck process is established, where the logarithmic Ornstein-Uhlenbeck process is incorporated into the transmission rate of infectious disease. The stochastic ultimate boundedness of solution of the system is discussed, and existence and uniqueness of a global solution is studied. Existence of an ergodic stationary distribution is investigated based on Hasminskii’s ergodic theory. By constructing a series of appropriate stochastic Lyapunov functions, sufficient conditions for weak persistence of the infected population and exponential extinction of the infectious disease are derived. Finally, the obtained theoretical results are verified through numerical simulations.</p>