Assessing vaccine efficacy for infectious diseases with variable immunity using a mathematical model.

ABSTRACT: This study introduces an SIRS compartmental mathematical model encompassing vaccination and variable immunity periods for infectious diseases. I derive a basic reproduction number formula and assess the local and global stability of disease-free and the local stability of the endemic equilibria. I demonstrate that the basic reproduction number in the presence of a vaccine is highly sensitive to the rate of immunity loss, and even a slight reduction in this rate can significantly contribute to disease control. Additionally, I have derived a formula to calculate the critical efficacy period required for a vaccine to effectively manage and control the disease.The analysis conducted for the model suggests that increasing the vaccine's immunity duration (efficacy) decelerates disease dynamics,

SUBMITTER: Al-Arydah M 

PROVIDER: S-EPMC11316787 | biostudies-literature | 2024 Aug

REPOSITORIES: biostudies-literature