On the quasi-stationary distribution of the stochastic logistic epidemic

• Published in: Mathematical biosciences Vol. 156; no. 1; pp. 21 - 40
• Main Author: Nåsell, Ingemar
• Format: Journal Article
• Language: English
• Published: United States Elsevier Inc 01.03.1999
• Subjects: Asymptotic approximation; Endemic Diseases; Epidemiology; Humans; Logistic Models; Models, Biological; Quasi-stationary distribution; SIS model; Stochastic Processes; Time to extinction; Transition region; Transition region; Quasi-stationary distribution; Asymptotic approximation; SIS model; Time to extinction

An approximation is derived for the quasi-stationary distribution of the stochastic logistic epidemic in the intricate case where the transmission factor R 0 lies in the transition region near the deterministic threshold value 1. An approximation for the expected time to extinction from quasi-statio...