Critical scaling for the SIS stochastic epidemic

DOI10.1239/jap/1158784956zbMath1119.92056arXivmath/0512252OpenAlexW2057405727MaRDI QIDQ5754700

R. G. Dolgoarshinnykh, Steven P. Lalley

Publication date: 23 August 2007

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512252

zbMATH Keywords

Ornstein-Uhlenbeck processSIRFeller diffusion

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (9)

Exchangeable Markov processes on \([k^{\mathbb N}\) with càdlàg sample paths] ⋮ Spatial epidemics: Critical behavior in one dimension ⋮ Extinction times in the subcritical stochastic SIS logistic epidemic ⋮ Analytical survival analysis of the Ornstein-Uhlenbeck process ⋮ A phase transition for measure-valued SIR epidemic processes ⋮ Epidemic Size in the SIS Model of Endemic Infections ⋮ Extinction time of the logistic process ⋮ Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3 ⋮ Stochastic Epidemic Modeling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Brownian excursions, critical random graphs and the multiplicative coalescent
• On the asymptotic behavior of the stochastic and deterministic models of an epidemic
• On the distribution of the time to extinction in the stochastic logistic population model
• On the Extinction of theS–I–Sstochastic logistic epidemic
• The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier
• On the Time to Extinction in Recurrent Epidemics
• The quasi-stationary distribution of the closed endemic sis model
• Limit theorems for some functionals of certain Galton-Watson branching processes
• On Feller's branching diffusion processes
• The First Passage Problem for a Continuous Markov Process

This page was built for publication: Critical scaling for the SIS stochastic epidemic