Motivated by the complicated control issues of COVID-19, this article aims at investigating the optimal control of an epidemic of a Susceptible-Infective-Removed-Susceptible (SIRS) infection, where social distancing is the only control action in a first stage, whereas a combination of social...

Innovation diffusion processes have attracted considerable research attention for their interdisciplinary character, which combines theories and concepts from disciplines such as mathematics, physics, statistics, social sciences, marketing, economics, and technological forecasting. The formal...

We evaluate the effects of several discretization schemes on alternative estimators of the drift parameters of stochastic differential equations, namely the continuous time MLE, a so-called naive estimator and an indirect estimator obtained through calibration. Two main results are evidenced:...

We exploit a multistate generalisation of a classical, one-sex, stable population model to evaluate structural and long-term effects of changes in the attainment of adulthood. The demographic framework that inspired this paper is provided by Italy, where a strong delay in the transition to...

Despite the increasing rate of diffusion of effective therapies, the battle against HIV/AIDS in Sub-Saharan Africa (SSA) is far from being over. Three main challenges are that the epidemics might paralyse or reverse the fertility transition, the expansion of the resources needed to finance the...