This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed. Subsequently a logistic equation on percentage urban is derived from the urbanization model so that spatial interaction can be connected mathematically with...

the purpose of this study is presenting a model forecasting financial crisis in tehran stock exchange listed companies. to do this, productive firms that had been accepted in tehran stock exchange between 2002 and 2009, were selected as the study sample. first the independent variables were obtained based on financial ratios and then based on article 141 of the law of commerce, the insolvent an...

the logistic regression (lr) method, as an empirical estimation method, was used to model urban growth in gorgan city between the years 1987-2001. three groups of variables including social-economic, land use and biophysical variables were used. similarity among variables is probable. to remove the correlated variables, covariance was calculated and distance to administrative, sporting centers ...

in this paper we investigate the effects of broadband infrastructure providing high speed internet, on economic growth in developing countries. we have used two different broadband measures to classify developing countries into two groups for the period 1999-2008. by using logistic diffusion model and iv approach, a nonlinear diffusion model is specified. differences in ceiling of diffusion cur...

This paper offers an alternative way, based on the logistic population growth hypothesis, to yield transitional dynamics in the standard AK model with exogenous savings rate. Within this framework, we show that the dynamics of the capital stock per person and its growth rate can be non-monotonic over time. Moreover, even in the presence of negative growth, the capital stock per-capita can conve...

Software reliability growth model is one of the basic techniques to assess software reliability quantitatively and it provides the essential information for software development activities. In this paper we compare the predictive capability of popular software reliability growth models (SRGM), such as exponential growth, delayed S-shaped growth and inflection S-shaped growth models. We first re...

In this paper, using sub-supersolution argument, we prove an existence result on positive solution for an ecological model under certain conditions. It also describes the dynamics of the fish population with natural predation and constant yield harvesting. The assumptions are that the ecosystem is spatially homogeneous and the herbivore density is a constant which are valid assumptions for mana...