Stochastic SIRI Epidemic Model With Global Incidence Rate And Relapse

We present a stochastic SIRI model with non-linear relapse and a global incidence rate g ( S ) I . Some verifiable sufficient conditions are established to ensure extinction and persistence. We also demonstrate the existence of a stationary distribution. Finally, we show some computer simulation exa...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2024, Vol.10 (6), Article 179
Main Authors: Harchaoui, Bilal, Boutouil, Saloua, Settati, Adel, Lahrouz, Aadil, El Idrissi, Mourad, El Jarroudi, Mustapha
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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Summary:We present a stochastic SIRI model with non-linear relapse and a global incidence rate g ( S ) I . Some verifiable sufficient conditions are established to ensure extinction and persistence. We also demonstrate the existence of a stationary distribution. Finally, we show some computer simulation examples to illustrate the theoretical findings.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-024-01791-9