Günter Schneckenreither

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Cellular Automata are being applied as a method for mathematical modelling and simulation in a variety of scientific areas. Usually a cellular automaton constitutes a microscopic description or abstraction of a natural system. The tools used for a mathematical derivation and validation of the cellular automaton modelling approach are however often optimised(More)
In this work we compare two structurally different modeling approaches for the simulation of an age-dependent SIR (susceptible, infected, recovered) type epidemic spread: a microscopic agent-based model and a macroscopic integro-partial differential equation model. Doing so we put a newly derived Mean-Field Theorem for mixed state-spaces (continuous and(More)
Cellular automata provide an interesting concept for modelling and simulation. Besides advanced modelling approaches like the Lattice Boltzmann Method cellular automata are also used for simulation in population dynamics, reaction diffusion systems or bio-medicine. While the basic concepts of cellular automata are rather clear and unambiguous, there exists(More)
This Comparison investigates a classical population model for the spread of infection diseases (SIR ordinary differential equations model by Kermack and McKendrick) and an inhomogeneous spatial approach using cellular automata. An identification of parameters based on an abstract time discrete conceptual model is presented. The tasks of this comparison(More)
Running through the modeling process, the choice of an appropriate modeling technique is one of the first and most fundamental questions. This crucial point might be responsible for success or failure. The right choice is almost never unique and depends strongly on the questions one wants to answer. This paper compares two modeling techniques coming from(More)
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