We determine conditions allowing for simplification of the description impact a short and arbitrarily intense laser pulse onto cold plasma at rest. If both initial density profile have plane symmetry, then suitable matched upper bounds on maximum relative variations density, as well intensity duration pulse, ensure strictly hydrodynamic evolution electron fluid without wave-breaking or vacuum-h...

In this paper, we explore a nonlinear mathematical model to study the spread of asthma due to inhaled pollutants from industry as well as tobacco smoke from smokers in a variable size population. The model is analyzed using stability theory of differential equations and computer simulation. It is shown that with an increase in the level of air pollutants concentration, the asthmatic (diseased) ...

Prostate cancer represents the second most common diagnosed in men and fifth cause of death from worldwide. In this paper, we consider a nonlinear mathematical model exploring role neuroendocrine transdifferentiation human prostate cell dynamics. Sufficient conditions are given for both biological relevance model’s solutions existence its equilibria. By means suitable Liapunov functional global...

In this paper, a nonlinear dynamical model is proposed and analyzed to study the survival of biological species in a polluted environment considering the effect of environmental tax which can be used further to improve environmental quality. The environmental tax is imposed to control the emission of pollutants/toxicants only when the equilibrium concentration of pollutants go beyond its thresh...

Energy supply from renewable sources is one of the most attractive fields study in recent years. Ensuring efficient operation microbial fuel cell (MFC) due to its capabilities requires development appropriate control strategies. This paper presents a combination fuzzy and adaptive methods single-chamber single-population MFC. For estimating nonlinear terms as well parametric uncertainty model, ...

In 1 , the general nonautonomous n-species Lotka-Volterra competitive systems with impulsive effects are investigated. By using the methods of inequalities estimate and constructing the suitable Liapunov functions, the sufficient conditions on the permanence of whole species and global attractivity of systems are established. In 2 , the authors studied the following general nonautonomous n-spec...

In this paper, a class of nonautonomous cellular neural networks is studied. By constructing a suitable Liapunov functional, applying the boundedness theorem for general functional-differential equations and the Banach fixed point theorem, a series of new criteria are obtained on the boundedness, global exponential stability, and existence of periodic solutions.

The standard conjugate gradient (CG) method uses orthogonality of the residues to simplify the formulas for the parameters necessary for convergence. In adaptive filtering, the sample-by-sample update of the correlation matrix and the cross-correlation vector causes a loss of the residue orthogonality in a modified online algorithm, which, in turn, results in loss of convergence and an increase...