Comparison of deterministic and stochastic SIRS epidemic model with saturating incidence and immigration

DOI10.1007/s40065-014-0119-0zbMath1337.60154OpenAlexW2104740335WikidataQ59431682 ScholiaQ59431682MaRDI QIDQ889499

Aadil Lahrouz, Adel Settati, Lahcen Omari, Aziza Belmaâti

Publication date: 6 November 2015

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-014-0119-0

zbMATH Keywords

immigrationnumerical simulationsaturation incidence ratedeterministic SIRS modelstochastic SIRS epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stability of solutions to ordinary differential equations (34D20) White noise theory (60H40) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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Comparison of stochastic and random models for bacterial resistance ⋮ Lévy noise impact on a stochastic delayed epidemic model with Crowly-Martin incidence and crowding effect ⋮ Threshold dynamics of an SIRS model with nonlinear incidence rate and transfer from infectious to susceptible ⋮ Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity ⋮ Stochastic contagion models without immunity: their long term behaviour and the optimal level of treatment ⋮ Stochastic dynamics of an HIV/AIDS epidemic model with treatment

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