| Autors: Lazarova, M. D., S. Markov., A. Vassilev. Title: Dynamical Systems Induced by Reaction Networks with Application to Epidemiological Outbreaks Keywords: dynamical systems, epidemiological outbreaks Abstract: We discuss several familiar dynamical systems induced by reaction networks used for the modeling and simulation of epidemiological outbreaks. We are especially interested in dynamical systems that are generated by reaction networks including specific basic reactions such as exponential radioactive decay, logistic or Gompertz growth, etc. We explain how reaction networks are “translated” into systems of ODEs. We then formulate certain mathematical properties of the solutions to these dynamical systems and visualize these solutions. We finally present a computational framework for estimating systems of ODEs induced by reaction networks. The main purpose of our work is to demonstrate the practical use of reaction networks in construction of mathematical models describing the time evolution of epidemiological processes. References Issue
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Вид: публикация в международен форум, публикация в реферирано издание, индексирана в Scopus
