Work

Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ -Laplace transform

Year: 2024

Type: article

Abstract: Rotavirus infection is a significant cause of severe diarrhea in infants and young children, contributing significantly to mortality rates worldwide. This research investigates a time fractional-order epidemic model for rotavirus under uncertain conditions, defined using the Katugampola fractional derivative (KFD). We employ a semi-analytic technique known as the Generalized Transform Variational Iterative Method (GTVIM) to solve the model, starting with specific initial conditions. This approach combines the ρ -Laplace Transform and the Variational Iterative Method. The Banach space fixed point theorem establishes the model’s existence and uniqueness. Furthermore, numerical analyses are performed for various fractional orders of two parameters to explore the dynamics of the rotavirus epidemic model.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100963

Authors: Rishi Kumar Pandey, Kottakkaran Sooppy Nisar

Institutions: Symbiosis International University, Al-Ahliyya Amman University, Prince Sattam Bin Abdulaziz University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

Funder: Prince Sattam bin Abdulaziz University