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

 It is no doubt that dialogue is a behavior for human communication. It varies according to the place and occasion that requires it. Dialogues are of two types: positive purposeful and negative non-purposeful. The study aims to shed light on those patterns of dialogues contained in the Quranic stories represented by the characters and events participating in that dialogue activity. To expand the circle of social relations, and in order to make these relationships a success, there are several rules that must be adhered to.For instance, the dialogue should  not be tolerant to a personal opinion, or prolonged, or should not deviate from its text. The expression of polite dialogue has been raised in recognition of these dialogue et

Strong acids were determined via the precipitation reaction of loaded copper (II) ion on strong cation exchange resin which in turn reacts with potassium hyxacyano ferrate (II). The attenuation effect of formed precipitate Cu2 [Fe (CN) 6] on (0 -180o) incident LED light was measurement via homemade AYAH 5SX4-ST-5D solar CFI analyser. Optimum parameters were 0.005M.L-1 [Fe(CN)6]-4 , flow rate of 2.4 mL.min-1 , sample volume 204 μL , sample purge time of 64 seconds was chosen, and 1.6 V for light intensity. A liner calibration graph of 0.005 -0.2 M.L-1 were obtains for HCl, HNO3, HCLO4 and H2SO4, with a linearity (r2 %) 96 -97 % and L.O.D based on gradual dilution of lowest concentration in calibration graph was 37.19 μg for HCl, 64.273

المقدمة

تتعامل الجهات الضريبية في مختلف دول العالم بأساليب عديدة لجباية الضرائب من المكلفين بغض النظر عن فئات وأصناف هؤلاء المكلفين،وفي العراق تم اعتماد العديد من الأساليب لجباية الضرائب على امتداد المدد الزمنية المتعاقبة،وكان لأسلوب التقدير الذاتي وهو أحد تلك الأساليب مجالاً للتطبيق خلال مدة زمنية معينة،حيث جرى تطبيق هذا الأسلوب على وحدات اقتصادية معينة، وبالرغم من المساوئ التي قد ترافق تطبيق

The aim of the research is to demonstrate the extent of the impact of resource consumption accounting technicality as an administrative technique that is compatible with the rapid developments and changes in the external environment, with the information it provides and scientific foundations in the allocation of indirect costs, and the identification and measurement of idle energy and its costs in a way that contributes to the rationalization of pricing decisions in economic units. In light of the intense competition and the multiplicity of alternatives, and to achieve this goal, a random sample was chosen.

THE EFFECT OF SPREACL of KNOWLEDGE ON ETHICS

Criticism is inherently impolite and a face-threatening act generally leading to conflicts among interlocutors. It is equally challenging for both native and non-native speakers, and needs pre-planning before performing it. The current research examines the production of non-institutional criticism by Iraqi EFL university learners and American native speakers. More specifically, it explores to what extent Iraqi EFL learners and American native speakers vary in (i) performing criticism, (ii) mitigating criticism, and (iii) their pragmatic choices according to the contextual variables of power and distance. To collect data, a discourse-completion task was used to elicit written data from 20 Iraqi EFL learners and 20 American native speaker

The purpose  of the research is interpretation of what quality transformations In the Arab commercial banks' management, and determine which fields that have been achieved in the third millennium, and elicitation the governance trends for future vision to manage them and estimate the expected value for these transformations, the importance of the idea of ​​research in investment the implicit and the apparent of practical knowledge stocks in the minds of managers by specialized language with the application of electronic business philosophy in response to the challenges of the information age and who should occupies those banks the center of Arab leadership and excellence, and try to upgrade to command centers in their co

After the tremendous development witnessed by the world of communications at the beginning of the third millennium, the activities that are performed through cyberspace have increased, and its importance has therefore increased, and the risks to which this space is exposed have increased, and in view of the global trend towards regulating this space and the practices that take place through it, as well as finding legal and technical ways to secure it. And to secure the services that are provided through it, it was necessary to determine the nature of this space and therefore its security. In order to create an appropriate theoretical framework around it that may be used if the Iraqi legislator goes towards organizing this space and secur

The paradise, the collection of a paradise through which it shows us the wonders of the divine-made, and reflect us the pleasure of looking and luster of beauty, and the splendor of creation, and all this is in the interest of this human being; To be a safety valve to collapse. But if this man deviates and forgot the blessed man, drowned in the vanity and vanity, and deviated from the divine method, this same heaven will disown him and reveal to him another face of destruction and devastation.
What we will see in the folds of the search, God willing