The price model for a single commodity market is a very important economic model that describes the basic rules for price fluctuations in a single commodity market. In this paper, we investigated the general case for ...The price model for a single commodity market is a very important economic model that describes the basic rules for price fluctuations in a single commodity market. In this paper, we investigated the general case for the model, and proved that every positive solution is bounded and we obtained a necessary and sufficient condition for oscillation of every positive solution concerning positive state solution.展开更多
Previous multifractal spectrum theories can only reflect that an object is multifractal and few explicit expressions of f(α) can be obtained for the practical application of nonlinearity measure. In this paper, an an...Previous multifractal spectrum theories can only reflect that an object is multifractal and few explicit expressions of f(α) can be obtained for the practical application of nonlinearity measure. In this paper, an analytical model for multifractal systems is developed by combining and improving the Jake model, Tyler fractal model and Gompertz curve, which allows one to obtain explicit expressions of a multifractal spectrum. The results show that the model can deal with many classical multifractal examples well, such as soil particle-size distributions, non-standard Sierpinski carpet and three-piece-fractal market price oscillations. Applied to the soil physics, the model can effectively predict the cumulative mass of particles across the entire range of soil textural classes.展开更多
文摘The price model for a single commodity market is a very important economic model that describes the basic rules for price fluctuations in a single commodity market. In this paper, we investigated the general case for the model, and proved that every positive solution is bounded and we obtained a necessary and sufficient condition for oscillation of every positive solution concerning positive state solution.
文摘Previous multifractal spectrum theories can only reflect that an object is multifractal and few explicit expressions of f(α) can be obtained for the practical application of nonlinearity measure. In this paper, an analytical model for multifractal systems is developed by combining and improving the Jake model, Tyler fractal model and Gompertz curve, which allows one to obtain explicit expressions of a multifractal spectrum. The results show that the model can deal with many classical multifractal examples well, such as soil particle-size distributions, non-standard Sierpinski carpet and three-piece-fractal market price oscillations. Applied to the soil physics, the model can effectively predict the cumulative mass of particles across the entire range of soil textural classes.
