Analysis of Vaccination Strategies and Epidemic Therapy in Heterogeneous Networks: The Monkey Pox Case

Abstract

In this publication, we present a model that simulates the spread of monkeypox virus. The model takes into account the effect of interactions between human and rodent populations, as well as certain realistic factors such as the complex network with a heterogeneous mean field and certain disease control measures such as vaccination and disease therapy. Although vaccines do not offer total protection against the disease, they can reduce the transmission of monkeypox, which could help reduce the spread of the virus in a population, as our results show. So to develop efficient strategies for epidemic control and prevention, we studied global sensitivity analysis to determine the parameters most influential on disease spread. The existence and overall stability of the disease-free equilibrium are also discussed. The basic reproduction number R₀ of the model is calculated. The results show that if R₀ < 1, the disease-free equilibrium of the model is globally asymptotically stable. In addition, the model’s key parameters are calculated using a least-mean-squares curve fit to the real data.