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

DOI10.1016/j.jtbi.2010.06.030zbMath1407.92123OpenAlexW2140255713WikidataQ51682989 ScholiaQ51682989MaRDI QIDQ1722840

Maria Jesus Lopez-Herrero, Jesus R. Artalejo

Publication date: 18 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.06.030

zbMATH Keywords

quasi-stationaritypopulation modelsratio of expectations

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85) Population dynamics (general) (92D25) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (8)

Stochastic epidemic models: new behavioral indicators of the disease spreading ⋮ On SIR-models with Markov-modulated events: length of an outbreak, total size of the epidemic and number of secondary infections ⋮ The stochastic SEIR model before extinction: computational approaches ⋮ Hamiltonian analysis of subcritical stochastic epidemic dynamics ⋮ Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size ⋮ Stochastic modeling of computer virus spreading with warning signals ⋮ The SIS and SIR stochastic epidemic models: a maximum entropy approach ⋮ Quasi-stationary distributions for discrete-state models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-stationary distributions for a class of discrete-time Markov chains
• Survival in a quasi-death process
• Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes
• Non-negative matrices and Markov chains. 2nd ed
• The density of the extinction probability of a time homogeneous linear birth and death process under the influence of randomly occurring disasters
• Stochastic epidemic models and their statistical analysis
• Approximations of quasi-stationary distributions for Markov chains.
• Stochastic models of some endemic infections
• Impact of myxomatosis in relation to local persistence in wild rabbit populations: the role of waning immunity and the reproductive period
• Stochastic niche structure and diversity maintenance in the T cell repertoire
• On the quasi-stationary distribution of the stochastic logistic epidemic
• Stochastic epidemics: Major outbreaks and the duration of the endemic period
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• The intermediate dispersal principle in spatially explicit metapopulations
• Stochastic model of an influenza epidemic with drug resistance
• On the time to extinction for a two-type version of Bartlett's epidemic model
• Bayesian estimation of the basic reproduction number in stochastic epidemic models
• Numerical methods for Laplace transform inversion
• A stochastic SIS infection model incorporating indirect transmission
• An Introduction to Stochastic Epidemic Models
• On the distribution of the time to extinction in the stochastic logistic population model
• Quasi-stationary distributions of birth-and-death processes
• On the Extinction of theS–I–Sstochastic logistic epidemic
• On the Time to Extinction in Recurrent Epidemics
• A note on quasi-stationary distributions of birth–death processes and the SIS logistic epidemic
• The quasi-stationary distribution of the closed endemic sis model
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains

This page was built for publication: Quasi-stationary and ratio of expectations distributions: a comparative study