Dynamical Analysis of a Discretized System Modelling Somitogenesis

Sándor Kovács () and Noémi Gyúró-Magyar
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Sándor Kovács: Eötvös Loránd University, Department of Numerical Analysis
Noémi Gyúró-Magyar: Eötvös Loránd University

A chapter in Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells, 2025, pp 179-198 from Springer

Abstract: Abstract In this work, we analyse the dynamics of a discretized version of a continuous system modelling somitogenesis examined by Kovács et al. (Oscillations in a System Modelling Somite Formation. In: Mondaini, R.P. (ed.) Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, pp. 237–248. Springer International Publishing (2022)). The explicit Euler scheme and a nonstandard finite difference scheme is constructed to transform the continuous-time system into the discrete-time model. Firstly, we discuss basic properties of the discrete system, such as boundedness of variables and positivity of solutions. We investigate whether the new discrete-time model shows dynamic consistency with its continuous counterpart.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-97461-8_10

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DOI: 10.1007/978-3-031-97461-8_10

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