Semantic Scholar
Open Access
2023
216 sitasi
Computation of the basic reproduction numbers for reaction-diffusion epidemic models
Chayu Yang
Jin Wang
Abstrak
We consider a class of k-dimensional reaction-diffusion epidemic models (k=1,2,⋯) that are developed from autonomous ODE systems. We present a computational approach for the calculation and analysis of their basic reproduction numbers. Particularly, we apply matrix theory to study the relationship between the basic reproduction numbers of the PDE models and those of their underlying ODE models. We show that the basic reproduction numbers are the same for these PDE models and their associated ODE models in several important scenarios. We additionally provide two numerical examples to verify our analytical results.
Topik & Kata Kunci
Penulis (2)
C
Chayu Yang
J
Jin Wang
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
- Bahasa
- en
- Total Sitasi
- 216×
- Sumber Database
- Semantic Scholar
- DOI
- 10.3934/mbe.2023680
- Akses
- Open Access ✓