The effect of waning immunity on long-term behaviour of stochastic models for the spread of infection
From MaRDI portal
Publication:604541
DOI10.1007/s00285-009-0313-4zbMath1204.92055OpenAlexW2115490417WikidataQ51773181 ScholiaQ51773181MaRDI QIDQ604541
Damian Clancy, Sang Taphou Mendy
Publication date: 11 November 2010
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-009-0313-4
moment closurediffusion approximationquasi-stationary distributioncumulant equationsstochastic infection model
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
Related Items
The effect of population heterogeneities upon spread of infection ⋮ The influence of immunity loss on persistence and recurrence of endemic infections ⋮ The SIS and SIR stochastic epidemic models: a maximum entropy approach
Cites Work
- Novel moment closure approximations in stochastic epidemics
- Moment closure and the stochastic logistic model
- Estimating variability in models for recurrent epidemics: assessing the use of moment closure techniques
- On the quasi-stationary distribution of the stochastic logistic epidemic
- Novel bivariate moment-closure approximations
- An extension of the moment closure method
- On the asymptotic behavior of the stochastic and deterministic models of an epidemic
- A new look at the critical community size for childhood infections
- On the Extinction of theS–I–Sstochastic logistic epidemic
- On the Time to Extinction in Recurrent Epidemics
- On Approximating the Moments of the Equilibrium Distribution of a Stochastic Logistic Model
- The quasistationary distribution of the stochastic logistic model
- Extinction Times for Birth-Death Processes: Exact Results, Continuum Asymptotics, and the Failure of the Fokker--Planck Approximation
- The quasi-stationary distribution of the closed endemic sis model
- On quasi-stationary distributions in absorbing continuous-time finite Markov chains
