In this work, we study two species of predator with two species of prey model, where the two species of prey live in two diverse habitats and have the ability to group-defense. Only one of the two predators tends to switch between the habitats. The mathematical model has at most 13 possible equilibrium points, one of which is the point of origin, two are axial, tow are interior points and the others are boundary points. The model with , where n is the switching index, is discussed regarding the boundedness of its solutions and the local stability of its equilibrium points. In addition, a basin of attraction was created for the interior point. Finally, three numerical examples were given to support the theoretical results.

The research dealt with the concepts of the philosophy of values ​​and its epistemological variables according to specific propositions represented in their scientific approaches to value theory in the field of industrial design. As the epistemological propositions of the theory of values ​​were dealt with based on the epistemological fields that dealt with the concept and what values ​​are, starting with the modernist propositions and postmodern, passing through the propositions of sociological and psychological thought, which was a prelude to extracting the concepts of value theory and adopting it in the field of industrial product design. The epistemological approaches to value theory in industrial product design were repr

SUMMARY. – Absorption, flourescence, quantum yield and lifetime of rhodamine B in chloroform, methanol and dimethyl sulfoxide were measured. A comparison was done of these quantities with those for solid solutions, which are obtained by mixing constant volume proportions of dye at a concentration of 1×10–4M/l with different volume proportions from the concentrated solution of polymer in chloroform and dimethyl sulfoxide. The results showed that the addition of polymer to liquid concentrated solutions (1×10–4M/l) of rhodamine B dye from expecting, which leads to development of active medium for laser dye at high concentration, increase the spectra shift toward high energies, and the luminescence quantum yield but decreasing radiative

Maher Harbi's drawings have taken an aesthetic and artistic dimension that leads to creating an approach between what is religious and mundane, between religious and mundane, with the techniques of plastic art, and this is what led the researcher to address this topic and stand on the realistic controversy based on the religious and the secular. Accordingly, the researcher divided the subject of the research into four chapters. The first chapter (the methodological framework) dealt with the research problem, which is summarized in the following question: (What is the dialectic of the reality of Maher Harbi’s drawings between the religious and the secular?) Then the importance of the research manifested in shedding light on the deep str

After more than ten years of successful march of the European single currency and EU countries faced a crisis in one of its debt, which recently joined the monetary union is not Greece . Perhaps mpre than th effects of this crisis, the fact that its consequences were not confined to Greece alone , but expand it to include all EU countries in general and the countries of the European Monetary Union in particular.

Sine the debt crisis that emerged Greek and talk a lot a bout their effects on the global economy and the potential harm done th the situation of the global economy recovers from the global financial crisis (mortgage crisis), or delayed and also the fears of other crises to other member states suf

In Iraq, water shortages and drought, especially during the hot summer months, necessitates that municipal authorities adopt water reuse projects like reusing treated domestic wastewater for crop irrigation. This work gives the conceptual and basic design elements for the necessary steps of filtration, UV irradiation and chlorination to make such a wastewater fit for agricultural use. A typical rural community of 50,000 people is considered as an example case for which functionality and relative simplicity of the proposed designs are prime factors. The objectives are 1) to show what is required and 2) that the presented information may be utilized to embark on the following phases of detailed design and execution of such projects.

Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.

The propaganda discourse is the most widely circulated in the media and communication studies, where the interest of scholars and researchers in this field has become clear in the analysis and interpretation of the content of this discourse, to identify the intentions, purposes and objectives of the communicator activity, which exceeded the borders of states in the heated atmosphere of rivalries and political conflicts that characterize The countries of the world as a whole and for many years.

In particular, the economically and militarily developed countries (the Nordic capitalist countries) have exerted special efforts in the production of information and ideas, using advanced methods and means in all details of communication w

Background: Unilateral sinonasal disease is commonly encountered during the practice of the otolaryngologists, the etiology include a wide variety of diseases ranging from simple
acute inflammation to highly malignant diseases. The clinical, computed tomography and histopathology differs between inflammatory and neoplastic diseases.
Patients and Methods: A prospective study carried out at the Otolaryngology department, Baghdad Medical City, Hospital of specialized surgeries between Jan.2007 to Nov.2008.The study involved 114 patients with symptoms and signs of unilateral sinonasal disease, a careful history, complete clinical examination and radiological investigations were done to all patients as well