Dergiler / Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi / 2023 / Cilt: 39 Sayı: 2
Fractional Mathematical Modelling of The Spread of Rotavirus Disease
- Sayfa
- 253–270
- DOI
- —
Özet
In this study, rotavirus disease is examined from a different perspective. In this situation, many variables are used to construct a fractional mathematical model. The model is employed to determine how the disease's transmission will affect susceptible, infected, and recovered individuals. The implications of the fractional derivative on the stability and dynamic behaviour of solutions are examined using the formulation of the Caputo fractional operator. The existence and uniqueness, positivity and boundedness of the solution are next examined. Findings include equilibrium points and stability requirements. Numerical simulations are used to examine the system's dynamic behaviour. With the use of these simulations, it is possible to study how susceptible, infected, and recovered people change over time by giving fractional values to ϑ. This highlights the advantages of using fractional differential equations. Then it is seen how changing some parameters causes changes in susceptible, infected and recovered individuals.
Abstract
In this study, rotavirus disease is examined from a different perspective. In this situation, many variables are used to construct a fractional mathematical model. The model is employed to determine how the disease's transmission will affect susceptible, infected, and recovered individuals. The implications of the fractional derivative on the stability and dynamic behaviour of solutions are examined using the formulation of the Caputo fractional operator. The existence and uniqueness, positivity and boundedness of the solution are next examined. Findings include equilibrium points and stability requirements. Numerical simulations are used to examine the system's dynamic behaviour. With the use of these simulations, it is possible to study how susceptible, infected, and recovered people change over time by giving fractional values to ϑ. This highlights the advantages of using fractional differential equations. Then it is seen how changing some parameters causes changes in susceptible, infected and recovered individuals.