A stochastic epidemic model with two quarantine states and limited carrying capacity for quarantine

DOI10.1016/j.physa.2019.121899zbMath1490.92069OpenAlexW2955107703MaRDI QIDQ2137699

Yanyan Li

Publication date: 16 May 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.121899

zbMATH Keywords

extreme valuesepidemicsquarantinefirst-passage times

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (5)

A Markovian epidemic model in a resource-limited environment ⋮ A Markov chain model to investigate the spread of antibiotic‐resistant bacteria in hospitals ⋮ A novel epidemiologically informed particle filter for assessing epidemic phenomena. Application to the monkeypox outbreak of 2022 ⋮ A structured Markov chain model to investigate the effects of pre-exposure vaccines in tuberculosis control ⋮ Modelling the effects of media coverage and quarantine on the COVID-19 infections in the UK

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
• Stochastic descriptors to study the fate and potential of naive T cell clonotypes in the periphery
• Extinction times and size of the surviving species in a two-species competition process
• Dynamics of an SEQIHRS epidemic model with media coverage, quarantine and isolation in a community with pre-existing immunity
• Stochastic epidemic models: a survey
• Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations
• On SIR-models with Markov-modulated events: length of an outbreak, total size of the epidemic and number of secondary infections
• Analysis and numerical simulations of a stochastic SEIQR epidemic system with quarantine-adjusted incidence and imperfect vaccination
• Cumulative and maximum epidemic sizes for a nonlinear SEIR stochastic model with limited resources
• A stochastic SIS epidemic model with heterogeneous contacts
• Effects of quarantine in six endemic models for infectious diseases
• Recurrent outbreaks of childhood diseases revisited: The impact of isolation
• Dynamics of a model with quarantine-adjusted incidence and quarantine of susceptible individuals
• Renaissance model of an epidemic with quarantine
• Extreme values in SIR epidemic models with two strains and cross-immunity
• The global dynamics for a stochastic SIS epidemic model with isolation
• The SEIQS stochastic epidemic model with external source of infection
• Mathematical analysis of an SIQR influenza model with imperfect quarantine
• SIR epidemic models with general infectious period distribution
• Numerical methods for Laplace transform inversion
• A Unified Framework for Numerically Inverting Laplace Transforms
• On SIR epidemic models with generally distributed infectious periods: Number of secondary cases and probability of infection
• An Introduction to Stochastic Epidemic Models
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Perturbation analysis in finite LD‐QBD processes and applications to epidemic models
• The threshold of a stochastic SIQS epidemic model
• The threshold of a stochastic SIQS epidemic model

This page was built for publication: A stochastic epidemic model with two quarantine states and limited carrying capacity for quarantine