We studied the population dynamics of producers and parasites in a developing economy through the Lotka–Volterra model. Our baseline model found a cyclical equilibrium between these two groups of agents. When the equilibrium output is low, we propose that economy is in a poverty trap, such...

We studied the population dynamics of producers and parasites in a developing economy through the Lotka-Volterra model. Our baseline model found a cyclical equilibrium between these two groups of agents. When the equilibrium output is low, we propose that economy is in a poverty trap, such that...

In view of limited natural resources on Earth, linkage among environment, energy, and economy (3Es) becomes important perspectives for sustainable development. This paper proposes to use Lotka–Volterra model for SUstainable Development (LV-SUD) to analyse the interspecific interactions,...

We consider the population dynamics of two species described by the mutualistic Lotka–Volterra model with a +/+ interaction in the presence of spatial diffusions. The results demonstrate that diffusion does not affect the system’s stability but it brings two situations: one is a win–win...

The paper aims to explore what it means for something to be a social cycle, for a theory to be a social cycle theory, and to offer a suggestion for a simple, yet, we believe, fundamentally grounded schema for categorizing them. We show that a broad range of cycle theories can be described within...

In this paper, we consider the stationary distribution of the facultative population model with a degenerate noise. The contributions of this paper lie in: (a) providing sufficient conditions which allow the noise intensity matrix to be degenerate, and, in particular, guarantee the existence and...

Aggregate advertising models are functions reflecting the relationship between product sales and advertising expenditure for a market as a whole. In this paper, we proposed a new advertising response model based on consumer population dynamics. Considering that the population dynamics is one of...

Taiwan experienced the rapid growth of mobile cellular broadband from 2005 by introducing 3G operations and had higher penetration than the average of the developing countries, the world, and even the developed countries. There are many forecasting models which were developed and successfully...

In Penna's single-species asexual bit-string model of biological ageing, the Verhulst factor has too strong a restraining effect on the development of the population. Danuta Makowiec gave an improved model based on the lattice, where the restraining factor of the four neighbours take the place...