Descriptive models of system dynamics

Abstract

Nowadays, while performing their investigations, researchers often face large datasets requiring fast processing for analysis and drawing adequate conclusions. Data mining, statistical methods and big data analytics provide an impressive arsenal of tools allowing scientists to address those tasks. However, in some cases investigators need techniques enabling on the base of relatively simple and cheap measurements of easily accessible parameters to build useful and meaningful concepts of an area of research. In our paper two classes of dynamical models aimed at revealing between-component relationships in natural systems with feedback are presented. The idea of the both models follows from the frameworks of theoretical biology and ecology, where pairwise interactions between the parts of a system are regarded as background of the system’s behavior. Both deterministic and stochastic cases are considered, that allow us to determine the direction of pairwise relationships in deterministic case and the direction and strength of relationships in stochastic one.