This paper reformulates the classical Uzawa-Lucas model of economic growth and human capital accumulation by representing time as a discrete variable and using a non-constant population growth rate. In addition, the model is developed with a more general utility function. The study examines the...

This paper studies an extension of the Mankiw-Romer-Weil growth model by departing from the standard assumption of constant population growth rate. More concretely, this rate is assumed to be decreasing over time and a general population growth law verifying this characteristic is introduced. In...

In this paper we present an endogenous growth model with productive public capital and pollution. As to pollution we assume that it is a by-product of aggregate production and that it negatively affects utility of the household but not production possibilities directly. The paper studies the...

The stability of cyclical growth within the context of a model in Matsuyama (1999) is examined. It is shown that but for an extreme situation, the two-cycles are unique and a range of parameter values which imply the stability of such cyclical growth is derived. The growth enhancing property of...

Under the condition that education sector uses human capital as the only input of production, human capital could flow out from final goods sector to education sector eternally, which is defined to be perpetual structural change in the present paper. The emergence of perpetual structural change...

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...