About the book ...
Agent-based modelling and simulation versus ODE/PDE modelling – an unbridgeable antago-nism in modelling and simulation? This thesis proofs existence and efficient use of a bridge – the mean field theory, in theory and application. The author presents a very well written mix-ture of monograph and research work ummary. Using a valid mean-field model, i.e. a macro-scopic equation-based model that approximates microscopic model results, the author utilizes the excellent analysis features of equation based approaches to analyse the microscopic model. He uses case studies from population dynamics, epidemiology, physics (surprising: an agent-based model for the pendulum), and game theory. And additionally he shows how mean-field models can be applied directly for sensitivity analysis and parameter calibration. As final result, the author proposes a new classification concept for microscopic models: a series of attributive adjectives according to the model’s time-update, state-space, randomness and interaction do not only convey a unique picture of specific parts of the model, but also give ideas on possible challenges involved with model, simulation, parametrisation, sensitivity, and finally its mean-field behaviour.
About the author ...
Martin Bicher studied Technical Mathematics at the Vienna University of Technology (TU Wien). His interests led him to specializing in Modelling and Simulation with focus on microscopic modelling. In his Diploma Thesis ‘Agent-based Modelling and Simulation on Basis of the Fokker-Planck – Equation’ (in German) he already dealt with the upcoming demand for a solid foundation of microscopic modelling. This experience offered him a position as a researcher at TU Vienna and at dwh Simulation Services, where he started to work on population dynamic models, in conjunction with comparative modelling techniques on macroscopic, microscopic, and mesoscopic approaches. Within several projects he developed the mean field theory as common denominator for microscopic and macroscopic modelling, in theory and in application - resulting in this thesis and in several scientific publications. As the head of the COVID-19 simulation model development team of dwh GmbH, he currently applies the theory for analysis of epidemiological models. Hereby he and his team play a leading role in councelling the Austrian ministry of health in the time of the 2020/21 SARS-CoV-2 pandemic.
