GLOBAL STABILITY OF EQUILIBRIA AND LYAPUNOV FUNCTIONS IN A VACCINATING BEHAVIOURAL SIR MODEL WITH LAGGED INFORMATION

In this work, we prove two global asymptotic stability (GAS) results for the endemic equilibrium (EE) of an SIR model with information-dependent vaccinating behaviour and information delay, introduced in [7]. Differently from [3], we obtain our results by the direct method based on Lyapunov functions: the first one in a general context, the second one for a piecewise linear coverage function. For this last case, we compare our results and the one in [3] both analytically and numerically, thus enriching the range of exploration of the model parameters.