Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination

الملخص EN

In this paper, we are interested in finding the periodic oscillation of seasonally forced SEIR models with pulse vaccination.

Many infectious diseases show seasonal patterns of incidence.

Pulse vaccination strategy is an effective tool to control the spread of these infectious diseases.

Assuming that the seasonally dependent transmission rate is a T-periodic forcing, we obtain the existence of positive T-periodic solutions of seasonally forced SEIR models with pulse vaccination by Mawhin’s coincidence degree method.

Some relevant numerical simulations are presented to illustrate the effectiveness of such pulse vaccination strategy.