Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size

The SIS epidemic model with Markovian switching

(2012) Alison Gray et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On the time to extinction from quasi-stationarity: A unified approach

(2012) J.R. Artalejo   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Total Variation Approximation for Quasi-Stationary Distributions

(2011) A. D. Barbour et al.   JOURNAL OF APPLIED PROBABILITY

Derivatives of the stochastic growth rate

(2011) David Steinsaltz et al.   THEORETICAL POPULATION BIOLOGY

Stochastic epidemic models revisited: analysis of some continuous performance measures

(2011) J. R. Artalejo et al.   Journal of Biological Dynamics

A stochastic SIS epidemic with demography: initial stages and time to extinction

(2010) Patrik Andersson et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Quasi-stationary and ratio of expectations distributions: A comparative study

(2010) J.R. Artalejo et al.   JOURNAL OF THEORETICAL BIOLOGY

Outbreak properties of epidemic models: The roles of temporal forcing and stochasticity on pathogen invasion dynamics

(2010) Paul E. Parham et al.   JOURNAL OF THEORETICAL BIOLOGY

On the Final Size of Epidemics with Seasonality

(2009) Nicolas Bacaër et al.   BULLETIN OF MATHEMATICAL BIOLOGY

The Early Stage Behaviour of a Stochastic SIR Epidemic with Term-Time Forcing

(2009) Tom Britton et al.   JOURNAL OF APPLIED PROBABILITY

Seasonality and comparative dynamics of six childhood infections in pre-vaccination Copenhagen

(2009) C. J. E. Metcalf et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Survival in a quasi-death process

(2008) Erik A. van Doorn et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

The basic reproduction number in epidemic models with periodic demographics

(2008) Curtis L. Wesley et al.   Journal of Biological Dynamics