Analyzing Stochastic SIRS Dynamics Under Jump Perturbation

This study focuses on the complex area of epidemic modeling in the presence of unpredictable environmental factors. By incorporating white noise and Lévy noise, we establish a robust framework to capture the behavioral characteristics of the SIRS epidemic model within the erratic variations of the e...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2024-02, Vol.10 (1), Article 3
Main Authors: Boutouil, S., Harchaoui, B., Settati, A., Lahrouz, A., Nait, A., El Jarroudi, M., Erriani, M.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Epidemics
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
White noise
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Summary:This study focuses on the complex area of epidemic modeling in the presence of unpredictable environmental factors. By incorporating white noise and Lévy noise, we establish a robust framework to capture the behavioral characteristics of the SIRS epidemic model within the erratic variations of the external environment. Therefore, our research shows that the dynamics of our model are controlled by two thresholds, namely R and R ′ . Our studies show that the conditions for extinction in the presence of jump noise are almost necessary, whilst, in the absence of jump effect, these conditions are necessary and sufficient. Finally, we present several computer simulations to illustrate the results presented in this article.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-023-01646-9