Suppression of self-oscillations and formation of heterogeneous structures by diffusion in the non-linear glycolytic model
Ural Mathematical Center, Ural Federal University,
Lenina avenue, 51,
a e-mail: email@example.com
Accepted: 9 September 2020
Published online: 19 November 2020
A dynamical distributed model of glycolysis with the diffusion is considered in the parametric zone of self-oscillations. A phenomenon of the diffusion-induced suppression of self-oscillations is found and studied by technique of harmonic coefficients. We show how, under increase of diffusion, temporal oscillations of homogeneous solutions transform into stationary non-homogeneous structures in the form of patterns-attractors. A phenomenon of multistability in this spatially distributed glycolytic model is discussed and a variety of coexisting patterns and their amplitude characteristics is quantified.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020