Stability analysis helps answer several key questions regarding the dynamics of an infectious disease:
Will the disease die out or persist? The analysis helps determine whether an infection will fade away or become endemic. What are the conditions for disease eradication? It helps identify the threshold conditions, such as the basic reproduction number (R0), under which the disease can be eradicated. How do changes in parameters affect disease dynamics? It provides insights into how variations in parameters like transmission rates, recovery rates, and vaccination rates influence the stability of disease-free and endemic states.
