In this paper, a Kolmogorov-type model, which includes the Gause-type model (Kuang and Freedman, 1988), the general predator-prey model (Huang 1988, Huang and Merrill 1989), and many other specialized models, is studied. The stability of equilibrium points, the existence and uniqueness of limit cycles in the model are proved.

A non-smooth Gause predator–prey model with a constant refuge is proposed and analyzed. Firstly, the existence and stability of regular, virtual, pseudo-equilibria and tangent points are addressed. Then the relations between the existence of a regular equilibrium and a pseudo-equilibrium are studied, and the results indicate that the two types of equilibria cannot coexist. The sufficient and ne...

In the qualitative study of systems ordinary differential equations, we can analyze dynamics solutions by observing whether small variations or modifications in initial conditions produce changes future, this intuitive idea was formalized and studied Lyapunov reflects concept stability. For both linear nonlinear stability using criteria to obtain Hurwitz type polynomials. paper, a prey-predator...

The goal of this research is to test the Heckscher-Ohlin’ theorem of comparative advantages on the sample of the Republic of Croatia and other European Union member countries. Heckscher-Ohlin theorem of comparative advantages can largely explain international trade in cases where the sample of countries is heterogeneous, in terms of the achieved level of development and the production factors a...

In a two-cone Heckscher–Ohlin model with CES preferences and a continuum of goods, new northern goods increase the northern skill premium if they are skilled-labor intensive, and may increase the premium if they are unskilled-labor intensive. Thus, the introduction of new goods into US technology could have done more to increase the US skill premium than a closed-economy model would predict. I ...

This paper introduces sector-specific externalities in the Heckscher–Ohlin twocountry dynamic general equilibrium model to show that indeterminacy of the equilibrium path in the world market can occur. Under certain conditions in terms of factor intensities, there are multiple equilibrium paths from the same initial distribution of capital in the world market, and the distribution of capital in...

The aim of this paper is to present results concerning a three-dimensional model including a prey, a predator and top-predator, which we have named the Volterra–Gause model because it combines the original model of V. Volterra incorporating a logisitic limitation of the P. F. Verhulst type on growth of the prey and a limitation of the G. F. Gause type on the intensity of predation of the predat...