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Optimum study of fractional polio model with exponential decay kernel
Muhammad Sajid Iqbal1,2,3, Muhammad Shahzad4, Nauman Ahmed5,6
1School of Foundation Studies and Mathematics, OUC with Liverpool John Moores University (UK), Qatar Campus, 12253, Doha, Qatar.
Scientific Reports
|July 26, 2024
Summary
This study models polio transmission using a novel fractional order approach. The research identifies disease-free and endemic equilibria, offering insights into polio
Area of Science:
- Epidemiology
- Mathematical Biology
- Fractional Calculus
Background:
- Understanding polio transmission dynamics is crucial for effective disease control.
- Traditional epidemiological models may not fully capture the complexities of disease spread.
Purpose of the Study:
- To introduce and analyze a novel fractional order model for polio transmission dynamics.
- To investigate the existence and stability of disease equilibria using the Caputo Fabrizio fractional operator.
- To provide numerical simulations for enhanced understanding of polio spread.
Main Methods:
- Development of a fractional order model with an exponential decay kernel.
- Application of the Caputo Fabrizio fractional operator for analysis.
- Mathematical assessment of disease-free equilibrium (DFE) and endemic equilibrium (EE) points.
- Numerical simulations and graphical representations to illustrate disease behavior.
Main Results:
- The study successfully formulated a fractional order model for polio dynamics.
- Analysis confirmed the existence and stability of both DFE and EE points.
- Numerical simulations visualized the impact of various parameters on disease spread.
Conclusions:
- The fractional order model provides valuable insights into polio transmission.
- This approach enhances the understanding of infectious disease dynamics.
- The findings contribute to the broader field of epidemiological modeling.
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