arXiv Open Access 2025

Network-Driven Global Stability Analysis: SVIRS Epidemic Model

Madhab Barman Nachiketa Mishra

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Abstrak

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.

Topik & Kata Kunci

math.NA

Penulis (2)

Madhab Barman

Nachiketa Mishra

Format Sitasi

APA MLA BibTeX

Barman, M., Mishra, N. (2025). Network-Driven Global Stability Analysis: SVIRS Epidemic Model. https://arxiv.org/abs/2503.17529

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓