Mathematical analysis of a triple age dependent epidemiological model with including a protection strategy

<p style='text-indent:20px;'>In this research, we consider the influence of protection measures on the spread of infectious diseases in an age-structured population. Protection strategy can take different forms as isolation, treatment, or renewable vaccine; to mathematically represent it, we include a new compartment <i>p</i> standing for protected individuals, in a classical age structured <i>si</i> model. Global analysis of the proposed model is made by the introduction of total trajectories and a suitable Lyapunov functional. We give a particular importance to the protection strategy and many numerical simulations are provided to illustrate our theoretical results.</p>