This study presents a mathematical model describing the interaction of gut bacteria in the participation of probiotics and antibiotics, assuming that some good bacteria become harmful through mutations due to antibiotic exposure. The qualitative analysis exposes twelve equilibrium points, such as a good-bacteria equilibrium, a bad-bacteria equilibrium, and a coexisting endemic equilibrium in which both bacteria exist while being exposed to antibiotics. The theory of the Sotomayor theorem is applied to study the local bifurcation around all possible equilibrium points. It’s noticed that the transcritical and saddle-node bifurcation could occur near some of the system’s equilibrium points, while pitchfork bifurcation cannot be accrued at

يتناول البحث الاخلال المسبق واثره في تنفيذ الالتزام العقدي على حساب المدين ـ دراسة مقارنة في القوانين المدنية والقانون الانكليزي

The study aims to introduce at the difficulties in which delay the using of the internet In the educational process – learning , Study was conducted on a sample of students in the College of Education for Girls and the effects of variables : possession of computer , availability of the internet service , and the level of parents on these difficulties ,  Used for this purpose, a total sample size (400) students, distributed Departments . Results showed that the most important difficulties in which delay using of internet were : Lack of knowledge of internet availability , Lack of knowledge of the aim of using this service , and the students satisfaction that the disadvantages is more than the advantages of

Examination is a form of tax audits which have been done by tax examiner rests with the General Commission for Taxes is responsible for determining the extent to which the amounts subject to  tax provided  by  the holders of admissions with  the laws and regulations, taxes. So the tax-examination is the major means of tax administration to make sure the fact that tax revenues generated from the imposition of taxes different kinds of direct and indirect search result, the importance of the role played by the (Department of Control and Internal Audit / Audit Division in charge) in charge of auditing the accounts, which may be Maclvoha clung to their accounts and access to the tax base acceptable to the expensive and fin

Factors affecting consumer consumerism Iraqi   The research aims to shed light on the factors influencing consumer consumerism Iraqi and arranged in terms of the degree of importance in influencing through poll sample, which amounted to (85) members of the shoppers of electrical goods in the markets of Baghdad, Questionnaire has been used as a tool head to collect data and information from the sample surveyed and their answers were analyzed using factor analysis and test ( ), and The research group was the most prominent

The article is final after making all the modifications. 2,259 / 5,000 يهدف البحث إلى قياس وتحليل الفجوة بين الواقع الفعلي لبنود التخطيط والدعم وفق المواصفة (IATF16949:2016) في مصنع البطاريات أحد مصانع الشركة العامة لصناعة وتجهيز السيارات، وكذلك التعرف على نقاط القوة والضعف لبنود التخطيط والدعم وفق المواصفة محل البحث. ينطلق البحث من حاجة الشركة العامة لصناعة وتجهيز السيارات إلى إتباع المعايير العالمية في صناعة السيارات والمنتجات المرتبطة بها،

Linear motor offers several features in many applications that require linear motion. Nevertheless, the presence of cogging force can deteriorate the thrust of a permanent magnet linear motor. Using several methodologies, a design of synchronous single sided linear iron-core motor was proposed. According to exact formulas with surface-mounted magnets and concentrated winding specification, which are relying on geometrical parameters. Two-dimensional performance analysis of the designed model and its multi-objective optimization were accomplished as a method to reduce the motor cogging force using MAXWELL ANSYS. The optimum model design results showed that the maximum force ripple was approximatrly reduced by 81.24%compared to the origina

The research problem is dedicated to investigate reservoirs irrational economic behavior adopted by the ruling elites in developing countries about the investment methodology of human capital and operating policies is based on the terms of reference of economic theory and standards governing the market, which led to a chronic structural imbalance in the workforce structure and lack of consistency with different production structure, in turn, which had a reported effects in the emergence of the phenomenon of unemployment and that they involved a certain privacy, as has become the issues of unemployment and employment in the various countries of the world are issues more important due to the presence of large numbers of the workforce in th

   Decision-makers in each country work to define a list of internal and external interests, goals and threats to their countries according to the nature of their awareness of these interests, goals and threats. 

  Hence, Iraq is not an exception to this rule, and the process of evaluating its interests and the objectives of its foreign policy is subject to the pattern of awareness of decision-makers and the influencing forces in defining its basic interests, which often witness some kind of difference in defining them, evaluating their importance and determining the size of the threats they face. And among these interests and threats that have witnessed a difference in the assessment of their

Since the beginning of 21^st century, the prices of Agricultural crops have increased. This Increases is accompanied with that increases of crude oil prices and fluctuation of a dollar exchange rate as a dominant currency used in the global trade. The paper aimed to analysis the short run and long run cointegration relationships between prices of some of Agricultural crops imported by Iraq such as wheat and rice crops and both the crude oil prices and the Iraq dinar exchange rate a gained America dollar using ARDL model. The results show the long run equilibrium between they three variable throng the error correction mechanizem. The results also show the significant and economically sound effects of cru