Mathematical Modeling and Analysis of Monkeypox Transmission Dynamics with Treatment and Quarantine Interventions

Abstract

This study presents a comprehensive mathematical model to understand the transmission dynamics of monkeypox, incorporating  multiple compartments for both human and rodent populations, which are essential in the spread of the virus. The model captures  zoonotic transmission (from rodents to humans) and human-to-human transmission, including compartments for susceptible, exposed,  infected, quarantined, treated, and recovered humans, as well as susceptible, exposed, and infected rodents. Numerical simulations show  how interventions such as reducing contact rates, quarantining infected individuals, and promoting effective treatment can  significantly control the spread of the virus. Sensitivity analysis reveals that parameters with positive sensitivity indices, such as contact  rates, enhance the spread of monkeypox, whereas parameters with negative sensitivity indices, like the treatment rate of infected  humans, reduce transmission. The results demonstrate that reducing contact rates, especially between susceptible and infected humans  and rodents, plays a crucial role in disease control. This study provides valuable insights for policymakers and public health officials to  effectively manage monkeypox outbreaks.