Respiratory Illness clinical trial modeling

Respiratory illnesses pose a significant burden on public health, causing numerous fatalities annually. Using the classical SEIR framework, we model a general respiratory infection to investigate the interaction between the disease's epidemiological dynamics and the dynamics of a vaccine clinical trial. We develop a system to describe clinical trials for a vaccine targeting a new respiratory infection. We model the interplay between epidemiological dynamics and clinical trials, establishing the relationship between these two systems. We also explore the impact of vaccines becoming available to adults and children at different times by dividing each epidemiological compartment into two age-based categories: adults and children. We calculate the basic reproductive number for the epidemiological model for each transmission category (adults and children) and then determine an overall reproductive number for the entire population. Additionally, we conduct numerical simulations under various assumptions and present our findings. For more information see https://ejde.math.txstate.edu/conf-proc/27/g1/abstr.html