In this paper we investigate the dynamic interaction between economic growth, unemployment, income distribution and population growth. The reference framework combines rational behaviour of agents with endogenous fertility and unemployment, while profits are the determinant of the accumulation...

This paper offers a unified perspective of the analytical detection of Hopf bifurcation, which is a crucial tool in dynamic economic modelling. We clarify the relations between stability theorems and the notions of Simple and General Hopf Bifurcations. A Lienard-Chipart-type theorem for...

Much of the debate on the role played by the age distribution of the population in shaping the growth regimes of the neoclassical growth model of Solow has focused on the notion of capital dilution and the possibility that "optimal" population growth regimes (OPGR) exist. Conversely less has...

It is shown here that the Solow (1956) neo-classical growth paradigm not only explains the "first" stylised fact of economic growth, namely the existence of a globally stable state of balanced growth, but, once endowed with a demographically founded formulation of the labour supply, is also...

The relationship between wage inflation and unemployment has been extensively investigated since the early work of Phillips (1958) and Lipsey (1960), and is still a matter of debate. In this paper we study the dynamics of a standard neoclassical labour market under Walrasian adjustment rules. We...

The paper investigates the role of progressive income taxation in the frame of the basic multiplier-accelerator model in continuous time. It is shown that, while the proportional taxation is, as common wisdom believes, always stabilizing, in the case of non-linear progressive taxation, an...

According to the conventional theory of the demographic transition, mortality decline has represented the major trigger for fertility decline and eventually sustained economic development. In Sub-Saharan Africa (SSA), the HIV/AIDS epidemic has had a devastating impact on mortality, by...

A central policy issue in the battle against HIV in Sub-Saharan Africa (SSA) is whether and when high-prevalence countries might become fully autonomous in designing and implementing their own intervention policies aimed to control the disease. The aim of this research is twofold. First, it...

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...

According to the conventional theory of the demographic transition, mortality decline has represented the major trigger for fertility decline and eventually sustained economic development. In Sub-Saharan Africa (SSA), the HIV/AIDS epidemic has had a devastating impact on mortality, by...