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Social network evolution and actor oriented models. Applications in the fields of friendship formation, decision making, emergence of cooperation, and coalition formation

Evelien P. H. Zeggelink (1997)

Mathématiques et Sciences Humaines

We present an overview of different actor oriented models of network evolution, that have been developed in the last couple of years. The models are constructed in different fields of application and all have in common that the emergence of network structure is directly or indirectly of interest. Each model is based on a set of actors and a set of behavioral rules of these actors, resulting in interaction mechanisms and the coming into existence of some network pattern of relationships. Actors vary...

Structural analysis of social networks with respect to different levels of aggregation

Hans J. Hummell, Wolfgang Sodeur (1997)

Mathématiques et Sciences Humaines

The article aims at the integration of the two research traditions of multi-level and of network analysis. To this effect, a strategy is presented which can be traced back to P.F. Lazarsfeld and H. Menzel's typology of units and of their properties. After having extended their classification to take account of more network concepts than was needed at their time, the Lazarsfeld-Menzel-Classification is used as a conceptual instrument to translate a research question, which first looks like a specialty...

Structural endogamy and the network “graphe de parenté”

Douglas R. White (1997)

Mathématiques et Sciences Humaines

This article, one of a series, approaches the topics of marriage and kinship through a revitalized kinetic structural approach that shifts the primary focus from abstract models of rules, terminologies, attitudes and norms to exploration of concrete relations in a population, analyzed graph-theoretically in their full complexity as networks. Network representation using the graphe de parenté (see below) serves as the basis for examining marriage alliance theory, population structure (such as endogamy...

Structure of the Earth Natural Geoinfromation System

A. D. Kitov (2009)

Mathematical Modelling of Natural Phenomena

The model of geographical space of the Earth is represented as a multilevel discrete grid structure. This provides a scientific basis for the construction of a natural geoinformation system of the globe with invariant organization of data in the form of a universal grid, i.e. a different-level set of elementary cells with discrete topology. A grid structure is a multilevel system of reference points, with respect to which a spatial analysis of the territory is carried out. Reference points have attributes...

System analysis and mapping of interaction mechanisms of natural processes in mountainous-taiga landscapes

S. Myasnikova (2009)

Mathematical Modelling of Natural Phenomena

A spatial and temporal diversity of processes and phenomena is observed in mountaintaiga landscapes as the object of management. A knowledge of the mechanisms of their interactions makes it possible to effectively manage these processes and phenomena. The methodology of system analysis and mathematical models of interaction mechanisms are used in the analysis of these phenomena. A visualization of modelling results is carried out using geoinformation mapping methods.

The Speed of Epidemic Waves in a One-Dimensional Lattice of SIR Models

Igor Sazonov, Mark Kelbert, Michael B. Gravenor (2008)

Mathematical Modelling of Natural Phenomena

A one-dimensional lattice of SIR (susceptible/infected/removed) epidemic centres is considered numerically and analytically. The limiting solutions describing the behaviour of the standard SIR model with a small number of initially infected individuals are derived, and expressions found for the duration of an outbreak. We study a model for a weakly mixed population distributed between the interacting centres. The centres are modelled as SIR nodes with interaction between sites determined by a diffusion-type...

Vingt analyses multivariées d'une structure connue

H. Le Bras (1974)

Mathématiques et Sciences Humaines

L'usage croissant des analyses multivariées modifie la méthode de plusieurs sciences sociales. Le débat sur leur validité est toutefois assez confus car des questions de pure mathématique se mélangent à des problèmes perceptifs (représentation) et logiques (modélisation). Nous n'avons actuellement ni les moyens ni l'ambition d'aborder théoriquement leur statut, mais nous pensons fournir un document utile au débat en appliquant la majorité des méthodes à un même objet déjà connu et en comparant leur...

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