An Investigation on the Monkeypox Virus Dynamics in Human and Rodent Populations for a Deterministic Mathematical Model

Abstract A mathematical deterministic model for the dynamics of Monkeypox disease is developed. Monkeypox is a viral zoonotic disease that can be transmitted to humans, through contact with infected rodents. The model captures both the human and rodent populations and incorporates control strategies such as vaccines and quarantine for the human population. The model is analysed for local and global stability of the equilibrium solutions. In addition, numerical simulations of the model equations and sensitivity analysis of the parameters are carried out. The solutions obtained show that an increase in vaccination and quarantine measures could reduce the number of reproductions and ultimately eradicate the virus.