Essam Abdel-Rahman

• PhD
• Professor (Assistant) at Minia University

In this paper, we shall study the asymptotic stability analysis of a special kind of semigroup on D × D, namely, the uniformly Lipschitzian semigroups.

The coefficient of variation (CV) of a population is defined as the ratio of the population standard deviation to the population mean. In applied statistics, the CV is widely used. However, inference concerning the coefficient of variation of non-normal distributions are rarely reported. So in this paper, Bayesian and non-Bayesian approach is adopt...

In this paper we introduced the proposed algorithm for computing the algebraic first integrals of chemical reactions, which convertible to a system of parametric ordinary differential equations. Generalization of the Bendixson-Dulac criterion for 2d-vector-fields to arbitrary dimensions is proved. Flowchart for this algorithm is given. Numerical re...

In this paper, the scene parameters are setup for scene reconstruction; camera position and orientation are considered. Consecutive images are used to create the depth map of the scene. After reconstructing the scene, we apply a new methodology to augment the scene by using LAB color space and K-means clustering. A general scheme for scene manipula...

Despite the vast amount of research on the analysis of existing and ongoing human activity, there are still significant challenges worthy of address. In this paper, an innovative approach for human action recognition based on discriminative models like CRFs, HCRFs and LDCRFs is proposed. To handle human action recognition, different number of windo...

Realistic quantum systems are still an open area for more studies in the field of quantum information and its applications. Therefore, the interaction between the external environment and quantum systems, understanding the dynamics of different information quantifiers, and finding the correlation between different phenomena may stimulate great inte...

We investigate algorithmic methods to tackle the following problem: Given a system of parametric ordinary differential equations built by a biological model, does there exist ranges of values for the model parameters and variables which are both meaningful from a biological point of view and where oscillating trajectories, can be found? We show tha...

Investigating oscillations for parametric ordinary differential equations (ODEs) has many applications in science and engineering but is a very hard problem. Already for two dimensional polynomial systems this question is related to Hilbert’s 16th problem, which is still unsolved [1]. Using the theory of Hopf-bifurcations some non-numeric algorith...

Symbolic methods to investigate Hopf bifurcation problems of vector fields arising in the context of algebraic biology have recently obtained renewed attention. However, the symbolic investigations have not been fully algorithmic but required a sequence of symbolic computations intervened with ad hoc insights and decisions made by a human. In this...

In this paper we present a mixed spectral/spline approach to solve the generalized Burger’s equation (GBE). The method is based on a Chebyshev spectral approximation in combination with 3-point spline collocation methods. The proposed method is accomplished by starting with Chebyshev spectral approximation for the highest-order derivative in the x-...