This analysis reveals the extinction rate and patterns of the stochastic SIS epidemic model, highlighting its dynamics.
Key Points
The study provides exact solutions for the stochastic SIS epidemic model's dynamics, demonstrating critical insights.
Results show that the first nonzero eigenvalue of the generator matrix defines the epidemic's extinction rate, while the second defines the outbreak rate.
Using the master equation in a Markov jump process framework, the research explores the time evolution of infected individuals' distributions.
The findings indicate that the bifurcation threshold of the basic reproduction number is higher in the stochastic model compared to its deterministic form.