This paper aims to introduce a concept of an equilibrium point of a dynamical system which will call it almost global asymptotically stable. We also propose and analyze a prey-predator model with a suggested function growth in prey species. Firstly the existence and local stability of all its equilibria are studied. After that the model is extended to an optimal control problem to obtain an optimal harvesting strategy. The discrete time version of Pontryagin's maximum principle is applied to solve the optimality problem. The characterization of the optimal harvesting variable and the adjoint variables are derived. Finally these theoretical results are demonstrated with numerical simulations.
در قرآن کريم آياتي وجود دارد که يک يا چند بار به صورت کاملا مشابه در يک سوره و يا چند سوره، تکرار شده است. يکي از مسائل مهم در ترجمه قرآن کريم، ترجمه اينگونه آيات است، از آنجا که مشابه بودن اين آيات از روي حکمت الهي است، مترجمان نيز بايد در ترجمه خود اين مسأله را رعايت کرده و براي آيات مشابه ترجمهاييکسان ارائه کنند. از طرفي ممکن است تفاوت در ترجمه، مفهوم آيه را نيز تحت تأثير قرار دهد و براييک آيه مشابه دو مفهوم
... Show MoreBackground: 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.
... Show MoreThe research represents an applied study to the urban scene of Baghdad city center within the area of (Al Bab Al Sharqi – Al Tahrir Square) through studying and identifying the levels of the reciprocal correlation of advertising signs impact on urban scene , then finding out the indicators and potential values which have made advertising signs as positive value by achieving the mechanisms of visual quality or a negative value by achieving mechanisms of visual pollution. And then examining the resulted visual perception defect reforming mechanism from it and identify the basic elements represented of the laws and legislation known worldwide. When presenting the problem, The research depends on: (Lack of clear perception
... Show MoreThe impact of applying the K-W-L self-scheduling technique on first-year intermediate students' learning of basic volleyball skills, Ayad Ali Hussein*, Israa Fouad Salih
Objectives: The research aims to highlight the semiotic approach and apply it to a photograph of the Pope's reception at Baghdad International Airport, published on the page of the Media Office of Iraqi Prime Minister Mustafa Al-Kazemi in the Twitter application, in order to study its components, analyze its contents and clarify its implications, as well as approach the image as a political and media act. Methods: The stages of research were accomplished by "investigation, observation, and analysis", and the dismantling of the composition of the photograph, thus revealing the hidden and hidden aspects, relying on the semiotic approach to analysis. Results: The study showed that the ideas and meanings included in the image in form
... Show MoreThe aim of this paper is prove a theorem on the Riesz mean of expansions with respect to Riesz bases, which extends the previous results of Loi and Tahir on the Schrodinger operator to the operator of 4-th order.
The present research deals with the spatial variance analysis in Jwartadistrict and conducting a comparison on the spatial and seasonal changes of the vegetation cover between (2007-2013) in order to deduce the relationship between the vegetation density and the areas which are exposed to the risk of water erosion by using Plant Variation Index NDVI) C (coefficient and by using Satellite images of Landsat satellite which are taken in 2/7/2007 and Satellite images of Landsat satellite taken in 11/1/ 2013, the programs of remote sensitivity and the Geographic Information Systems.
The study reveals that there is a variance in the density of vegetation cover of the area under study betwee 2007 and 2013. Howev
... Show MoreBackground: The marginal adaptation has a key role in the success and longevity of the fixed dental restoration, which is affected by the impression and the fabrication techniques .The objective of this in vitro study was to evaluate and compare the marginal fitness of lithium disilicate crowns using two different digital impression techniques (direct and indirect techniques) and two different fabrication techniques (CAD/CAM and Press techniques). Materials and Methods: Thirty two sound upper first premolar teeth of comparable size extracted for orthodontic reason were selected in this study .Standardized preparation of all teeth samples were carried out with modified dental surveyor to receive all ceramic crown restoration with 1 mm deep
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