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

Author:

Manivel M.1ORCID,Venkatesh A.1ORCID,Arunkumar K.1,Prakash Raj M.1,Shyamsunder 2

Affiliation:

1. Department of Mathematics, AVVM Sri Pushpam College Affiliated to Bharathidasan University Tiruchirapalli, Poondi Thanjavur(Dt) Tamilnadu 613 503 India

2. Department of Mathematics Malaviya National Institute of Technology Jaipur 302017 India

Abstract

AbstractThis 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.

Publisher

Wiley

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