ArticleComputational and mathematical methods in medicine2018
Analysis and Numerical Simulations of a Stochastic SEIQR Epidemic System with Quarantine-Adjusted Incidence and Imperfect Vaccination.
Article in Computational and mathematical methods in medicine, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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11 citing papers in PubMed.
- Discussing the epidemiology of COVID-19 model with the effective numerical scheme.Scientific reports · 2025Article
- Exploring local and global stability of COVID-19 through numerical schemes.Scientific reports · 2024Article
- Article
- The stochasticCommunications in nonlinear science & numerical simulation · 2022Article
- Predictive approach of COVID-19 propagation via multiple-terms sigmoidal transition model.Infectious Disease Modelling · 2022Article
- Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic.Results in physics · 2021Article
- Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases.Computer methods and programs in biomedicine · 2021Article
- Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation.Applied mathematical modelling · 2021Article
- Ergodic Stationary Distribution of a Stochastic Hepatitis B Epidemic Model with Interval-Valued Parameters and Compensated Poisson Process.Computational and mathematical methods in medicine · 2020Article
- State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate.Computational and mathematical methods in medicine · 2019Article
- Dynamics Analysis of a Nonlinear Stochastic SEIR Epidemic System with Varying Population Size.Entropy (Basel, Switzerland) · 2018Article
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3 authors.
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Abstract
This paper considers a high-dimensional stochastic SEIQR (susceptible-exposed-infected-quarantined-recovered) epidemic model with quarantine-adjusted incidence and the imperfect vaccination. The main aim of this study is to investigate stochastic effects on the SEIQR epidemic model and obtain its thresholds. We first obtain the sufficient condition for extinction of the disease of the stochastic system. Then, by using the theory of Hasminskii and the Lyapunov analysis methods, we show there is a unique stationary distribution of the stochastic system and it has an ergodic property, which means the infectious disease is prevalent. This implies that the stochastic disturbance is conducive to epidemic diseases control. At last, computer numerical simulations are carried out to illustrate our theoretical results.
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