There is an increased interest in the use of spatial explicit modelling techniques in ecological research. One of the strength of this technique is the possibility to explicitly study the effect of environmental heterogeneity on the dynamics of populations or whole communities. Most of these studies focused on aspects of spatial heterogeneity, and studies focusing on environmental change employ...

Recently, individual-based models originally used for biological purposes revealed interesting insights into processes of the competition of languages. Within this new field of population dynamics a model considering sexual populations with ageing is presented. The agents are situated on a lattice and each one speaks one of two languages or both. The stability and quantitative structure of an i...

Abstract In order to better understand the interplay of partnership and competition in population dynamics we study a family of generalized May-Leonard models with N species. These models have a very rich structure, characterized by different types of space-time patterns. Interesting partnership formations emerge following the maxim that ”the enemy of my enemy is my friend.” In specific cases c...

Common Kingsnakes (formerly known collectively as Lampropeltis getula) are experiencing localized declines throughout the southeastern United States. Because there have been limited studies to determine how snakes regulate prey populations, and because Kingsnake declines may result in ecosystem impacts, we evaluated the hypothesis that Kingsnakes regulate the abundance of one of their prey, the...

The South Georgia region supports a large biomass of krill that is subject to high interannual variability. The apparent lack of a locally self-maintaining krill population at South Georgia means that understanding the mechanism underlying these observed population characteristics is essential to successful ecosystem-based management of krill fishery in the region. Krill acoustic-density data f...

We investigate the emergent population dynamics of an iterated game in which members of two antagonistic populations are randomly paired in each round. The basic setting is symmetric between these two populations, but this symmetry can be broken by giving the members of the two populations access to different strategy spaces or by assigning different values to parameters determining the composi...

The fluid dimensions of demographic status—age, career progression over time, geographic redistribution, and growing duration of residence—have not been sufficiently recognized in urban theory and policy. Demographic dynamism deserves special attention because it is through the presumed consequences for people that we judge the desirability of economic, political, and physical changes in a city...

In this work we suggest and consider an original, simple mathematical model of a ”quasirapid” extinction population dynamics. It describes a decrease and final extinction of the population of one prey species by a ”quasi-rapid” interaction with one predator species with increasing population. This ”quasi-rapid” interaction means ecologically that prey species behaves practically quite passively...

In this work we suggest a simple mathematical model for the dynamics of the population of children and adolescents without problematic behavior (criminal activities etc.). This model represents a typical population growth equation but with time dependent (linearly decreasing) population growth coefficient. Given equation admits definition of the half-life time of the non-problematic children be...

The purpose of this project is to model multi-species interactions using Volterra-Lotka equations in both two and three dimensions. Changes in population dynamics that arise as a result of modifying parameters are examined. The population dynamics of the resulting systems are analyzed in terms of stability around equilibrium points and within invariant surfaces. Of particular interest is period...