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2 International Journal of Applied Mathematics and Computer Science

2 2002

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Dynamics of Social Networks: a Deterministic Approach

Pearson D., McCartney M.

International Journal of Applied Mathematics and Computer Science

2002

Vol. 12, no 4

545-551

Our aim is to model the dynamics of social networks, which comprises the problem of how people get to know each other, like each other, detest each other, etc. Most existing models are stochastic in nature and, obviously, based on random events. Our approach is deterministic and based on ordinary differential equations. This should not be seen as a challenge to stochastic models, but rather as a complement.

Confidence and Self-Confidence: Perceived and Real

Pearson D.

International Journal of Applied Mathematics and Computer Science

2002

Vol. 12, no 2

277-283

The problem of modelling the dynamics of confidence levels between two individuals is investigated. A model, based on a master equation approach, is developed and presented. An important feature of the model is that self-confidence is modelled along with its interaction with confidence towards others. Simulation results are presented.