The dynamical behavior of a two-dimensional continuous time dynamical system describing by a prey predator model is investigated. By means of constructing suitable Lyapunov functional, sufficient condition is derived for the global asymptotic stability of the positive equilibrium of the system. The Hopf bifurcation analysis is carried out. The numerical simulations are used to study the effect of periodic forcing in two different parameters. The results of simulations show that the model under the effects of periodic forcing in two different parameters, with or without phase difference, could exhibit chaotic dynamics for realistic and biologically feasible parametric values.

          In this paper, magnesium oxide nanoparticles (MgO NPS) have been prepared and characterized and its concentration effect has been studied on polymers surface (MgO NPS). The results showed that the degradation of poly methyl methacrylate increased when using such metal oxide. The results also showed that the metal oxide increased the degradation of poly methyl methacrylate. X-ray diffraction, scanning electron microscopy, atomic force microscopy were used to study the morphological characteristics and size of nano MgO particles analysis.  Films were prepared by mixing the different masses of MgO NPS (0.025, 0.05, 0.1, 0.2 and 0.4) % with a polymer solution ratio (W/V) 7 %. Photo-

Abstract:

    Federico Garcia Lorca is considered in european and american literary circles as revolutionary symbol of contemporary literature writer through close association with the concerns of his country and the world, and also through the violent propensity to freedom, emancipation and innovation. This personal multi-talent has a significant impact in the spanish literary movement, in particularly, and in world, in general. If Lorca has andalusia blood, is no stranger to contemporary arab man to read to him, and contemplates his experience analyst and literary critic. This research is serious study of this character. There is no doubt the reader will put in front of many facts about personali

Our research which is under the name "Polarization and Communication mechanism in the formation of green industrial products " The problem of the research focuses in identifying what is polarization and its function mechanisms , by displaying the inventive and creative cases of the designer in how to exploit the industrial products and its recycling process to attract the user and recipient by asserting on the values of beauty of the appearance of the industrial product with the attraction Of the user and the recipient with the new function of that product and how its different from the function achieved by the old product , with consideration of nature and its preservation . The results of the research were as following : The designer e

Construction is the opening of the important pillars of the construction of the film as a whole for this, we find that the first of any narrative of my film begin at the borders of this construction is the window that we look through the contents tale and puzzle narrative is of significance that degrade traveler when reservoirs expression later in reasoning and find justifications ills that came by those initiation, this initiation may be the window that lead us to the core, understanding the story through signals received to the recipient to sail because of the paths of pickling what is which is encoded, but this initiation may serve as keys that understanding the be puppies and signals that beset and surrounded to what He holds inevita

Background: Ceramic veneers represent the treatment of choice in minimally invasive esthetic dentistry; one of the critical factors in their long term success is marginal adaptation. The aim of the present study is to evaluate the marginal gap of ceramic veneers by using two different fabrication techniques and two different designs of preparation. Material and methods: A typodont maxillary central incisor used in the preparation from which metal dies were fabricated, which were in turn used to make forty stone dies. The dies divided into four experimental groups, each group had ten samples: A1: prepared with butt-joint incisal reduction and restored with IPS e.max CAD, A2: prepared with overlapped incisal reduction and restored with IPS e.