Poisson integral type quarantine in a stochastic SIR system

DOI10.3934/MBE.2020297zbMath1470.92359OpenAlexW3049647926WikidataQ101116899 ScholiaQ101116899MaRDI QIDQ2047826

Andrew Vlasic, Troy Day

Publication date: 4 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020297

zbMATH Keywords

Lyapunov functionstochastic processstochastic stabilitynumerical simulationSIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic stability in control theory (93E15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• Stability analysis of an epidemic model with diffusion and stochastic perturbation
• Global stability of two-group SIR model with random perturbation
• Threshold of a stochastic SIR epidemic model with Lévy jumps
• Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps
• Exponential and uniform ergodicity of Markov processes
• Lyapunov exponent of a stochastic SIRS model
• Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model
• Sustained oscillations via coherence resonance in SIR
• Stochastic SIR model with jumps
• The Mathematics of Infectious Diseases
• Modeling stochastic anomalies in an SIS system
• A Stochastic Differential Equation SIS Epidemic Model
• The Behavior of an SIR Epidemic Model with Stochastic Perturbation
• Lévy Processes and Stochastic Calculus
• A comprehensive probabilistic analysis of approximate SIR‐type epidemiological models via full randomized discrete‐time Markov chain formulation with applications
• On a stochastic SIR model

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