Model Evolution of Voltage over Time Consider a group of interacting populations of neurons. Equation 1 describes the evolution over time of the membrane voltages for the ith ensemble. Table 1 explains the remaining variables.

A model of the dynamics of natural rotifer populations is described as a discrete nonlinear map depending on three parameters, which reflect characteristics of the population and environment. Model dynamics and their change by variation of these parameters were investigated by methods of bifurcation theory. A phase–parametric portrait of the model was constructed and domains of population persi...

In this paper a mathematical model was developed to study the dynamics of visceral leishmaniasis (VL) the in Sudan. To develop this model, the dynamics of the disease between three different populations, human, reservoir and vector populations was considered. The model analysis is done and the equilibrium points are analyzed to establish their stability. The threshold of the disease, the basic ...

Evolutionary game theory is an increasingly important way to model the evolution of biological populations. Many early models were in the form of matrix games, or bimatrix games in asymmetric situations when individuals occupy distinct roles within the contest, where rewards are accrued through independent contests against random members of the population. More recent models have not had the si...

Regional dimensions and trends in population aging: Russia/Eastern Europe Population aging is a global phenomenon and countries of Eastern European also experience rapid increase in the proportion of older people. The proportion of elderly people in the Eastern Europe is currently lower than in the European region as a whole. However this population aging is expected to continue over the next f...

The mechanism behind the growth and development of tumors is intensively studied using several mathematical approaches that rely on linear and non-linear techniques to model the cell population dynamics to better understand the development and progression of cancer. In this paper, we study the progression of a type of malignant tumors characterized by the stem-differentiation hierarchy. Two mai...

The study examined the influence of population as proximate cause of wetland dynamics in the lower Ogun river basin of southwestern, Nigeria. Both primary and secondary data were used for the study. The primary data included 100 questionnaires administered and distributed among the fadama users group representing 10% of the estimated population of the group. Satellite images of years 1972, 1984...

The population dynamics of predator-prey systems in the presence of patch-specific predators are explored in a setting where the prey population has access to both habitats. The emphasis is in situations where patch-prey abundance drives prey-dispersal between patches, with the fragile prey populations, that is, populations subject to the Alee effect. The resulting four-dimensional model’s math...

UNLABELLED Various mathematical models have been used to explore the dynamics of transposable elements (TEs) within their host genomes. However, numerous factors can influence their dynamics, and we know only little about the dynamics of TEs when they first began to invade populations. In addition, the influence of population structuring has only recently been investigated. Transposable Element...