Abstract:

A SIQRS epidemic model with saturating contact rate, isolation term and impulsive vaccination was established and analyzed. By means of Floquet theorem, impulsive differential inequality and limit system theory, the global asymptotic stable threshold conditions of diseasefree periodic solution in the SIQRS epidemic model were obtained. Comparing the effectiveness of the two control strategies of impulsive vaccination and isolation shows that using the two strategies concurrently is superior to only one strategy for eradicating the disease.

Key words: SIQRS epidemic model, impulsive vaccination, isolation, diseasefree periodic solution, basic reproduction number