Assessing Vaccination Efficacy in Hightreatment Saturation for Meningitis Control

Abstract

The study investigates the effectiveness of vaccination to keep meningitis in check, especially in conditions of high treatment saturation and limited resources. The numerical solution of this model is obtained through the homotopy perturbation method. In this work, we examine how vaccination and treatment are interrelated, but above all, with the basic reproduction number R₀, an important tool that identifies the size of the spread of meningitis. The study performs analyses of local and global stability for disease-free and endemic equilibrium points, providing insight into when and how meningitis can be eradicated or persist within a population. Furthermore, sensitivity analysis provides further light on which parameters have more influence on the disease transmission, thus providing an understanding of what factors would most ensure the control measures are successfully executed. In this paper, we have incorporated vaccination and treatment strategies into the model in order to assess the combined effect of the two methods in reducing the spread of meningitis and the best approaches towards disease control. In this dynamics, we apply the homotopy perturbation method for a comprehensive view of how vaccination and treatment can mitigate the burden of meningitis. These findings realize key lessons for the improvement of meningitis control strategies, particularly in remote settings, and hence contribute to the wider debate on infectious disease control. This in turn shows a way toward better control by demonstrating how a vaccination and treatment strategy that is strategically balanced can reduce the overall burden of the disease over time.