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

This study aims to show the level of organizational fairness at Hawija Technical Institute ,from the point view of the faculty ,and the degree of their performance, and the nature of the relationship between organizational fairness and their performance.                                                        

 The researchers accomplish and develop a questionnaire on Likert a three - dimensional scale to de applied on a samp

The science of jurisprudence is one of the legal sciences that scholars have been interested in since the first centuries of Islam, and they wrote many books about it, and the science of manuscripts is considered one of the scientific achievements in which many scholars emerged, including Imam Al-Samaani, so I chose this manuscript related to Istism to clarify its concept and meaning for all people, The student (Ali Ahmed Abdel-Aziz Sheikh Hamad) preceded me in the investigation of part of the book, and it was facilitated for me, by the grace of God Almighty, to investigate the issue (if one of the Muslim spouses apostatized and one of the infidel spouses converted to Islam until the end of the issue of if the two spouses were taken capt

The research aims at introducing the principles of six sigma and if it had any effect of the dimensions of six sigma to improve the performance of the dentists and the availability of an appropriate environment in the center Specialist respondent to the application of six sigma principles and how to adopt Specialized Center under the dimensions of the six sigma and if there informed enough with the management methodology six sigma, and if you can adopt six sigma as one of the entrances to reduce medical errors. So  Search creating six sigma five dimensions and are (the commitment and support of senior management, the focus  on the patient, continuous improvement, training and civil, and infrastructure) as a variable int

    This research discusses one of the most important means of reducing corruption in public sector companies and government departments, a relationship of cooperation and coordination between the external auditor and internal auditor, in the light of ISA (610), the recommendations of the International Organization of Supreme Audit Institutions (INTOSAI) and the National Strategy to combat corruption. The research was based on two assumptions: the first was weak relationship of cooperation and coordination between the external auditor and internal auditor leads to weakne

ملخص البحث
تبحث الدراسھ عن تنفیذ افضل لمفھوم التعلم مدى الحیاة كھیكل موجھ للسیاسة التربویة في العراق بشكل عام وفي
التعلیم العالي بشكل خاص. تحدد الدراسة استراتجیات التعلم مدى الحیاة وتناقش اھمیتھ وسماتھ الرئیسیة لتسھیل
الوصول الى فرص تعلم متمیز و ملائم لحاجات الطلبة مدى الحیاة، كما تناقش دور الجامعة في تحقیق ھذا الھدف.

The phenomenon of celebration of army leaders in the Abbasid era formed a distinct phenomenon at which the poets stood, and among those leaders was the Arab leader Hamid al-Taie, and the poets who stood on him and his sons Abu Tammam and al-Bohtari recorded in their poems the exploits of that leader, and the exploits of his sons through images that represented sadness, courage In this research, the generosity, and the rhetorical and artistic aspects of those images, have been spotted, balancing the poets.

Interval lies at rest in the speech; so as to improve to speak out, which is how Evaln Koran by other speech, called separators; for the secession of Alkalaman then, as the last verse separation between it and its aftermath in the Al-Jinn had a comma significant impact on the statement of the case of gin, as portrayed interval Gin and like the distraught after hearing of the Koran
This Sura carried various types of repetition represent wordy repeat itself and repeat some of the votes as well as the repeated sound of a thousand who remained in Sura breaks Bhaa also repeat the voice of the shredder breaks
Linguistic sounds of Koranic breaks played a significant role in a statement carried by the linguistic meaning of these interludes

Stubbornness is of the nature of the mean, we do not see it in the character of a person whose heart God filled with faith, wisdom and knowledge. And stubbornness does not fall into it except hearts that are arrogant, envious and objectionable, hearts that do not admit mistakes, and are not satisfied with the truth. Rather, you see humiliation,humiliation and shortcomings in returning to Him. He loves corruption * Except in humiliation, humiliation and shortcomings, the stubborn fall, even if they are proud when it is said to him, "Beware of God", pride takes him for sin, so his count is Hell, and his misery.

traces of stubbornness    :key wor

The research is dealing with the color articulation and its significance in the poetry of Hana Al-bawab, who employed the “color” in a special technique in her poetry.The research is trying to deal with the identification of the color and its aesthetic significance and function in the poetic context, as it determines its indication and interaction with the words next to it in the context. The research will clarifies that the color is not only a visual phenomenon, but also an aesthetic, mental and emotional significance. The results that I have concluded, indicate that the poet has beseeched to display the color in her poetry with the plain and borrowed colors besides the inspired dark and bright colors. The color’s indication has b