arXiv Open Access 2024

Stability Analysis of a Diffusive SVIR Epidemic Model with Distributed Delay, Imperfect Vaccine and General Incidence Rate

Achraf Zinihi Mostafa Tahiri Moulay Rchid Sidi Ammi

Lihat Sumber

Abstrak

In this chapter, we consider a reaction-diffusion SVIR infection model with dis-tributed delay and nonlinear incidence rate. The wellposedness of the proposed model is proved. By means of Lyapunov functionals, we show that the disease-free equilibrium state is globally asymptotically stable when the basic reproduction number is less or equal than one, and that the disease endemic equilibrium is globally asymptotically stable when the basic reproduction number is greater than one. Numerical simulations are provided to illustrate the obtained theoretical results.

Topik & Kata Kunci

math.DS

Penulis (3)

Achraf Zinihi

Mostafa Tahiri

Moulay Rchid Sidi Ammi

Format Sitasi

APA MLA BibTeX

Zinihi, A., Tahiri, M., Ammi, M.R.S. (2024). Stability Analysis of a Diffusive SVIR Epidemic Model with Distributed Delay, Imperfect Vaccine and General Incidence Rate. https://arxiv.org/abs/2405.15478

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓