In standard economic growth theory it is assumed that labour force follows exponential growth, a not realistic assumption. As described in, for example, Maynard Smith, Ref. 1, the growth of natural populations is more accurately depicted by a logistic growth law. This paper analyzes how...

The complete expectation-of-life for a person and the actuarial present value of continuous life annuities are defined by integrals. In all of them at least one of the factors is a survival function value ratio. If de Moivre’s law of mortality is chosen, such integrals can easily be evaluated;...

In this paper the subject is met of providing a two-fold generalization of the logistic popu- lation dynamics to a nonautonomous context. First it is assumed the carrying capacity alone pulses the population behavior changing logistically on its own. In such a way we get again the model of Meyer...

In this work we deal with the Solow-Swan economic growth model, when the labor force is ruled by the Malthusian law added by a constant migration rate I. Considering a Cobb-Douglas production function, we prove some stability issues and find a closed-form solution for the emigration case,...

This paper presents a Solow Growth Model with the labor force ruled by the logistic equation added by a constant migration rate, I. We prove the global asymptotic stability of the capital and production per capita. Considering a Cobb-Douglas production function, we show this model to have a...