Selkov glycolytic model with diffusion: Patterns, multistability, and stochastic transitions. (18th January 2022)

• Record Type: Journal Article
• Authors: Bashkirtseva, Irina; Pankratov, Alexander
• Other Names: Nizovtseva Irina guestEditor.; Alexandrov Dmitri guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 13(2022)
• Page Start: 8142
• Page End: 8150
• Publication Date: 2022-01-18
• Subjects: diffusion -- glycolysis -- mathematical modeling -- patterns -- random disturbances; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8083
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We consider a distributed variant of the Selkov mathematical model of glycolysis with diffusion and stochastic disturbances. The Turing instability zone, in which nonhomogeneous patterns are formed, is determined parametrically. Diversity of waveform spatial structures with different number of peaks is described and studied depending on the diffusion coefficients. The coexistence of various patterns of different waveforms and amplitudes is demonstrated. The quantitative analysis of the pattern formation from the random initial states is carried out using statistics and harmonic coefficients. Multistage noise‐induced transitions between coexisting spatial structures are discussed.