Discrete Euler-Poincaré and Euler Poincaré-Poisson equations for semidirect products and principal bundles.
Mathematical model for diamond-type crystals with impurities or defects.
A Hamiltonian approach to the discrete-continuous dynamical systems in diamond-type crystals.
A dynamic economic model with discrete time and consumer sentiment.
Geometrical aspects of the covariant dynamics of higher order
We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.
Hopf Bifurcation Analysis of Pathogen-Immune Interaction Dynamics With Delay Kernel
The aim of this paper is to study the steady states of the mathematical models with delay kernels which describe pathogen-immune dynamics of infectious diseases. In the study of mathematical models of infectious diseases it is important to predict whether the infection disappears or the pathogens persist. The delay kernel is described by the memory function that reflects the influence of the past density of pathogen in the blood and it is given by a nonnegative bounded and normated function defined...
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