24 citations · 51 across the 14 of their papers we have counts for
14 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…
A new model for the immune clonal networks
V. V. Gafiychuk, A. K. Prykarpatsky
This paper deals with a new model for clonal network dynamics. We describe in detail this model and derive special equations governing immune system dynamics based on the general g…
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,…
The properties of quasispecies dynamics in molecular evolution
V. V. Gafiychuk, A. K. Prykarpatsky
We consider the general properties of the quasispecies dynamical system from the standpoint of its evolution and stability. Vector field analysis as well as spectral properties of…