🎲📈 Continuous Time Markov Chain (CTMC) Models: Incorporating Stochasticity into Compartmental Epidemiology
Continuous Time Markov Chain (CTMC) models form a foundational class of stochastic compartmental models in mathematical epidemiology. In contrast to deterministic ordinary differential equation (ODE) models, which describe average behavior in large populations, CTMC models explicitly incorporate randomness through probabilistic transition mechanisms. This allows them to capture demographic stochasticity, chance extinction, and variability in outbreak … Read more