Stochastic analysis of a two delayed epidemic model incorporating Lévy processes with a general non-linear transmission

DOI10.1080/07362994.2019.1680295zbMath1444.92111OpenAlexW2981593543MaRDI QIDQ5113861

Mohamed El Fatini, Brahim Boukanjime

Publication date: 18 June 2020

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2019.1680295

zbMATH Keywords

Lévy processepidemic modeltwo delaysgeneral nonlinear transmission

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Related Items (9)

A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate ⋮ Stochastic SIS epidemic model on network with Lévy noise ⋮ On the threshold dynamics of the stochastic SIRS epidemic model using adequate stopping times ⋮ Global stability of an SAIRS epidemic model with vaccinations, transient immunity and treatment ⋮ Analysis of a stochastic SVIR model with time‐delayed stages of vaccination and Lévy jumps ⋮ Effect of mutations on stochastic dynamics of infectious diseases, a probability approach ⋮ A control treatment for a stochastic epidemic model with relapse and Crowly-Martin incidence ⋮ A Markovian regime-switching stochastic hybrid time-delayed epidemic model with vaccination ⋮ A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination

Cites Work

• Unnamed Item
• Stochastic model for spread of AIDS driven by Lévy noise
• Applied stochastic control of jump diffusions.
• The threshold of a stochastic delayed SIRS epidemic model with temporary immunity and vaccination
• The Euler scheme for Lévy driven stochastic differential equations
• The threshold of a stochastic delayed SIR epidemic model with temporary immunity
• A stochastic SIRI epidemic model with Lévy noise
• Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps
• Asymptotic behavior of global positive solution to a stochastic SIR model incorporating media coverage
• Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching
• Stochastic stability and instability of an epidemic model with relapse
• A stochastic viral infection model driven by Lévy noise
• A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity
• Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps
• A stochastic threshold for an epidemic model with Beddington-DeAngelis incidence, delayed loss of immunity and Lévy noise perturbation
• A stochastic SIRS epidemic model with a general awareness-induced incidence
• A threshold of a delayed stochastic epidemic model with Crowly-Martin functional response and vaccination
• A stochastic hepatitis B epidemic model driven by Lévy noise
• Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation
• Study on the threshold of a stochastic SIR epidemic model and its extensions
• A Stochastic Differential Equation SIS Epidemic Model
• Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence
• Lévy Processes and Stochastic Calculus
• A strong law of large numbers for local martingales
• Lévy noise perturbation for an epidemic model with impact of media coverage

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