The purpose of this work is to analyze the dynamics of a model describing the interaction between tourists (T) and environmental resource (E) in the presence or absence of a tourist tax , used to protect the environmental resource. The model highlights how the introduction of tourist tax...

This paper studies the intertemporal equilibrium of a barter economy populated with a continuum of …finitely-lived overlapping generations. Assuming isoelastic preferences and zero endowments at the beginning and the end of the individual's life-span, it proves the existence of an Hopf...

Based on the theory of power proposed by John Galbraith, Bertrand Russell and other social scientists, this paper offers two positive intertemporal general equilibrium models to understand: i.) How do rational people decide their optimal consumption, property accumulation, and power? ii.)What...

In this paper a three-dimensional environmental defensive expenditures model with delay is considered. The model is based on the interactions among visitors V, quality of ecosystem goods E, and capital K, intended as accommodation and entertainment facilities, in Protected Areas (PAs). The...

In a recent contribution, Empora and Mamuneas (2011) find a positive relation between pollution emissions and the total factor productivity (TFP). In the present paper, we show that this positive effect reduces the effect of pollution on the marginal utility of consumption for which a limit...

This paper discusses the delay dynamics of monopoly with discrete timescales. It is assumed that a monopoly has delayed and limited information on demand. It is also assumed that the firm wants to react to an average of past data instead of reacting to sudden market changes and this average is...

This paper describes a prey–predator model with Holling type II functional response incorporating prey refuge. The equilibria of the proposed system are determined and the behavior of the system is investigated around equilibria. Density-dependent mortality rate for the predator is considered...

This paper presents a disequilibrium macrodynamic model that incorporates certain elements from Goodwin (the dynamics of the rate of employment and income distribution), Kalecki (an investment function independent of savings, and mark-up pricing in oligopolistic goods markets), and Marx (the...

In this paper, the Allee effect is incorporated into a predator–prey model with linear functional response. Compared with the predator–prey model without the Allee effect, it is found that the Allee effect of the prey species increases the extinction risk of both the prey and predator. If...

We prove a Hopf bifurcation result for singular differential–algebraic equations (DAE) under the assumption that a trivial locus of equilibria is situated on the singularity as the bifurcation occurs. The structure that we need to obtain this result is that the linearisation of the DAE has a...