24 citations · 47 across the 6 of their papers we have counts for
6 papers
Analysis of instabilities and pattern formation in time fractional reaction-diffusion systems
B. Y. Datsko, V. V. Gafiychuk
We analyzed conditions for Hopf and Turing instabilities to occur in two-component fractional reaction-diffusion systems. We showed that the eigenvalue spectrum and fractional deri…
Nonlinear oscillations and stability domains in fractional reaction-diffusion systems
V. Gafiychuk, B. Datsko, V. Meleshko
We study a fractional reaction-diffusion system with two types of variables: activator and inhibitor. The interactions between components are modeled by cubical nonlinearity. Linea…
Mathematical modeling of pattern formation in sub- and supperdiffusive reaction-diffusion systems
Vasyl Gafiychuk, Bohdan Datsko, Vitaliy Meleshko
This paper is concerned with analysis of coupled fractional reaction-diffusion equations. It provides analytical comparison for the fractional and regular reaction-diffusion system…
Analysis of Data Clusters Obtained by Self-Organizing Methods
V. V. Gafiychuk, B. Yo. Datsko, J. Izmaylova
The self-organizing methods were used for the investigation of financial market. As an example we consider data time-series of Dow Jones index for the years 2002-2003 (R. Mantegna,…
Anomalous properties of heat diffusion in living tissue caused by branching artery network. Qualitative description
I. A. Lubashevsky, V. V. Gafiychuk, B. Y. Datsko
We analyze the effect of blood flow through large arteries of peripheral circulation on heat transfer in living tissue. Blood flow in such arteries gives rise to fast heat propagat…
Self-localization of laser induced tumor coagulation limited by heat diffusion through active tissue
B. Y. Datsko, V. V. Gafiychuk, I. A. Lubashevsky +1
We analyze the necrosis growth due to thermal coagulation induced by laser light absorption and limited by heat diffusion into the surrounding live tissue. The tissue is assumed to…