Abstract
We present a mathematical model employing nonlinear fractional differential equations to investigate the transmission of disease from rodents to humans. The existence and uniqueness of the model’s solutions are established through Banach contraction maps, and the local asymptotic stability of equilibrium solutions is confirmed. We calculate a critical parameter, the basic reproduction number, which reflects secondary infection rates. Numerical simulations illustrate dynamic changes over time, showcasing that our model provides a more comprehensive representation of the biological system compared to classical models.
| Original language | English |
|---|---|
| Pages (from-to) | 32-44 |
| Number of pages | 13 |
| Journal | Journal of Applied Mathematics and Computational Mechanics |
| Volume | 23 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- Banach contraction mapping
- basic reproduction number
- disease transmission
- fractional differential equations
- numerical simulations
- rodents
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Mechanical Engineering
- Computational Mathematics
- Applied Mathematics