Modeling the Impact of Combined Effect of Vaccination, Testing, and Treatment on Epidemic Dynamics

Abstract

This study introduces SVEIATRD compartmental model, exploring the interplay of vaccination, testing, treatment, in the context of individual decision-making in epidemic control. The model is comprehensively analyzed to derive reproduction numbers and maximum infections and deaths. The results of comprehensive simulations illustrate the intricate compromises associated with managing resource allocation regarding vaccine coverage, testing availability, and treatment capacity. Vaccination plays a crucial role in achieving herd immunity; however, the advantages diminish after certain coverage thresholds. Implementing widespread testing is crucial for early diagnosis and transmission control. Adopting treatment measures plays a crucial role in further limiting the spread of a particular disease or condition. However, the effectiveness of treatment adoption is hindered by the restrictions imposed by available resources.