Oscillations in a System Modelling Somite Formation

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

A chapter in Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, 2022, pp 237-248 from Springer

Abstract: Abstract A minimal models of vertebrae formation were studied in concerning periodic structures formation. The authors proposed two kinds of reaction-diffusion models, from which one is of clock-and-wavefront type and the other one is of Turing type. Our goal is to show that in case of the Turing type model the kinetic system as well the reaction-diffusion system exhibit oscillating solutions. The chapter is organised as follows. In the next section we introduce the model. In the section that follows we examine the existence and stability of some equilibria. In the third section we show the occurence of Hopf bifurcation in the kinetic system as well as in the parabolic system.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-12515-7_13

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DOI: 10.1007/978-3-031-12515-7_13

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