A stochastic SIR epidemic system with a nonlinear relapse

DOI10.1155/2018/5493270zbMath1417.92173OpenAlexW2810041428WikidataQ129611785 ScholiaQ129611785MaRDI QIDQ1727159

Aadil Lahrouz, Ali El Myr, Lahcen Omari, Abdelaziz Assadouq, Adel Settati

Publication date: 20 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/5493270

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of solutions to ordinary differential equations (34D20)

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Asymptotic behavior of multigroup SEIR model with nonlinear incidence rates under stochastic perturbations ⋮ Compartment models for vaccine effectiveness and non-specific effects for tuberculosis

Cites Work

• Effects of stochastic perturbation on the SIS epidemic system
• Modeling relapse in infectious diseases
• Stability of epidemic model with time delays influenced by stochastic perturbations
• Deterministic and stochastic study for an infected computer network model powered by a system of antivirus programs
• Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
• A Lyapunov functional for a SIRI model with nonlinear incidence of infection and relapse
• A Deterministic Model for Herpes Infections in Human and Animal Populations
• A Stochastic Differential Equation SIS Epidemic Model
• Asymptotic Properties of Hybrid Diffusion Systems
• Classroom Note:Global Stability in an $S \to I \to R \to I$ Model
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