The aim of this paper is to extend the study done by [5]. Here, we will analyze two mathematical models associated to some economic growth processes with endogenous population depending on the current fertility. The first model is a version of the Ramsey model in continuous and infinite time with the Cobb-Douglas production function. In the second model we consider the AK production function. T...

Human well-being highly depends on ecosystem services and this dependence is expected to increase in the future with increasing population and economic growth. Studies that investigate trade-offs between ecosystem services are urgently needed for informing policy-makers. We examine the trade-offs between a provisioning (revenues from timber selling) and regulating (carbon storage and sequestrat...

We consider a production-inventory system where the production and demand follow Poisson processes whose rates are modulated by an external stochastic environment process. We study two such systems: with and without an external supplier, and show an interesting stochastic decomposition relationship between the steady state distribution of inventory levels in these two systems. We consider the o...

We summarize some basic result in dynamic optimization and optimal control theory, focusing on some economic applications.

The interbasin water transfer project is an alternative to balance the nonuniform temporal and spatial distribution of water resources and water demands, especially in arid and semi arid regions. A water transfer project can be executed if it is environmentally and economically justified. In this study, the feasibility of two interbasin water transfer projects from Karoon River in the western p...

We study a perishable inventory system that requires to maintain a minimum inventory volume at all times, where the minimum amount in the constraint is significant with respect to regular market demand and the traditional Economic Manufacturing Quantity (EMQ) models do not suffice. The problem is motivated by applications in homeland security, which are related to the management of pharmaceutic...