A Mathematical Model of the Dynamics of the Transmission of Monkeypox Disease Using Fractional Differential Equations

• Published in: Advanced theory and simulations 2024-09, Vol.7 (9), p.n/a
• Main Authors: Manivel, M., Venkatesh, A., Arunkumar, K., Prakash Raj, M., Shyamsunder
• Format: Article
• Language: English
• Subjects: Caputo's fractional derivative; epidemics; Euler method; monkeypox virus; sensitivity analysis
• ISSN: 2513-0390; 2513-0390
• DOI: 10.1002/adts.202400330

This study presents a comprehensive analysis of the dynamics of Mpox viral transmission using a compartmental mathematical model. The model incorporates the impact of immunization, isolation, and hospitalization on disease management, as well as the interaction between humans and rodents. Through numerical simulations, the study highlights the effectiveness of isolation in mitigating disease transmission and emphasizes the significance of mathematical modeling and simulation techniques in understanding disease dynamics. The utilization of Caputo's fractional differential equation in the human dynamical model is shown to be effective in regulating disease in all compartments. Sensitivity analysis is conducted to identify the most influential parameters in virus transmission. The findings contribute valuable insights for public health strategies and provide a foundation for further research in disease control and management. The study presents a mathematical model analyzing Monkeypox virus transmission using fractional differential equations. It examines the effects of immunization, isolation, and hospitalization, emphasizing the role of isolation in controlling the disease. Numerical simulations demonstrate the model's effectiveness, offering insights for public health strategies and further research on disease control.