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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2503.17529 |
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| _version_ | 1866909547794268160 |
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| author | Barman, Madhab Mishra, Nachiketa |
| author_facet | Barman, Madhab Mishra, Nachiketa |
| contents | An epidemic Susceptible-Vaccinated-Infected-Removed-Susceptible (SVIRS) model is presented on a weighted-undirected network with graph Laplacian diffusion. Disease-free equilibrium always exists while the existence and uniqueness of endemic equilibrium have been shown. When the basic reproduction number is below unity, the disease-free equilibrium is asymptotically globally stable. The endemic equilibrium is asymptotically globally stable if the basic reproduction number is above unity. Numerical analysis is illustrated with a road graph of the state of Minnesota. The effect of all important model parameters has been discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17529 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Network-Driven Global Stability Analysis: SVIRS Epidemic Model Barman, Madhab Mishra, Nachiketa Numerical Analysis 37N25, 92B05, 37N25 H.1.0; I.6.6 An epidemic Susceptible-Vaccinated-Infected-Removed-Susceptible (SVIRS) model is presented on a weighted-undirected network with graph Laplacian diffusion. Disease-free equilibrium always exists while the existence and uniqueness of endemic equilibrium have been shown. When the basic reproduction number is below unity, the disease-free equilibrium is asymptotically globally stable. The endemic equilibrium is asymptotically globally stable if the basic reproduction number is above unity. Numerical analysis is illustrated with a road graph of the state of Minnesota. The effect of all important model parameters has been discussed. |
| title | Network-Driven Global Stability Analysis: SVIRS Epidemic Model |
| topic | Numerical Analysis 37N25, 92B05, 37N25 H.1.0; I.6.6 |
| url | https://arxiv.org/abs/2503.17529 |