A Mathematical Model of Pneumococcal Infection Dynamics with Optimal Control Approach

Abstract

Pneumococcal infections is a serious threat for human health, which causes chronic and injurious respiratory disease problems. We provide a mathematical model that describes the interactions between three important populations in order to better understand the course of infection and the function of host immunity: the immune cell population (N), the bacterial population in the blood (B), and the pneumococcal bacteria in the lungs (P). Growth of bacteria, immune-mediated clearance, logistic restriction, and natural removal rates are all included in this proposed model. This model proposes insights into immune response efficiency, infection persistence, and probable
treatment approaches by taking these processes. The foundation for future analytical investigation of equilibrium states, stability conditions, and intervention results in pneumococcal illness is laid by this work.