This article develops a dynamic optimising macro model of a open economy specialised in tourism based on natural resources. Environmental externalities are explicitly introduced in the production function. Global dynamic analysis shows that, under some conditions on the parameters, if the...

The transient characteristics of a nonequilibrium phase transition is investigated in a model of abiased van der Pol oscillator. The state-independent driving term which triggers the bifurcation from limit cycle to fixed point is treated as a randomly fluctuating quantity. The advancement of the...

Grandmont [J.M. Grandmont, On endogenous competitive business cycles, Econometrica 53 (1985) 995–1045] found that the parameter space of the most classical dynamic models is stratified into an infinite number of subsets supporting an infinite number of different kinds of dynamics, from...

More and more experiments show that small RNAs regulate gene expression by repressing translation of messenger RNAs (mRNAs) or degrading mRNAs. In this paper, we incorporate the small RNAs into a simple gene regulatory network and investigate its dynamical behaviors. In addition, we also derive...

We consider a one-sector Ramsey-type growth model with inelastic labor and learning-by-doing externalities based on cumulative gross investment (cumulative production of capital goods), which is assumed, in accordance with Arrow (1962), to be a better index of experience than the average capital...

In this paper, a discrete predator–prey system is proposed and analyzed. It is assumed that the prey population has a lower critical point, which is also referred to as extinction threshold. Such behavior has been reported for many flowering plants, many fishes, epidemiology, and so on. The...

A continuous-time predator–prey model without spatial variation is proposed to study the impact of Allee effects upon the predator–prey interaction when the prey population is subject to Allee effects. The system exhibits a threshold below which both populations become extinct. The model...

A two dimensional two-delays differential system modeling the dynamics of stem-like cells and white-blood cells in Chronic Myelogenous Leukemia under treatment is considered. Stability of equilibria is investigated and emergence of periodic solutions of limit cycle type, as a result of a Hopf...

In mammals, the circadian clock is driven by multiple integrated transcriptional feedback loops involving three kinds of central clock-controlled elements (CCEs): E-boxes, D-boxes and ROR-elements. With the aid of CCEs, the concentrations of the active proteins are approximated by the delayed...

This paper studies the dynamical properties of an extension of the well—known Romer model of endogenous growth introduced by Benhabib, Perli, and Xie (1994). This model differs from the Romer model by introducing complementarity of intermediate capital goods. It allows an indeterminate steady...