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 research deals with the study of the relationship between the success factors as the independent variable and product strategies as the dependent variable , has reacted to these variables to form the frame , which is the research which centered research problem about the extent to which industrial companies the vision and knowledge of Muslim women survive and develop in the business market , which can be expressed about the extent of awareness of corporate success factors and the use of product strategies and what the relationship between the factors and strategies , while expressing the importance of research to make the focus on the product occupies a paramount importance in the industrial sector companies in relation to t

Abstract

This study cares for the economic living conditions in Mosul City. Its importance lies in the critical period that has been covered
(2002-2007), which was dominated by far–reaching events at political economic and social levels. Among the main results that have been revealed are the following: the rate of economic growth in the City has been the lowest among major urban centers in Iraq. Besides, real income per capita in the City has stayed stagnant during the period of the study. However, the inequality in distribution of income has decreased. The main bulk of the city's population rely on their income from wages and salari

         Necati Cumalı, the Turkish writer and poet, was born on the 13^th of January 1921. The Origin of his name coincides with the same Friday where an airplane crush accident happened inside the borders of Greece where he used to live. He was one of the 20^th century most prominent writers whose fame lasted for 80 years until his death on the 10^th of January 2002.

    Although Necati Cumalı worked in various literary fields such as short stories, novel, drama, and critical analysis, he was often known as a poet. His poetry celebrates highly elevated emotions to love and nature in unique lifestyle that displays his delightful diction. The p

The researcher, in this academic research, seeks to highlight the role of the semantic production in the dramatic act and to know the extent of its work and importance, because drama is an act and the dramatic work is a group of acts. The dramatic meaning and act are two inseparable concepts that cannot be divided, because each dramatic act is a container of meanings through connotations, signs and symbols. The production of the connotations in the dramatic act is considered one of the important issues in the content language of communication between the sender and recipient in order to get to the intended meaning. These sign connotations engage the spectator in the codifying activity and get him immersed in the events. The research pres

Abstract                                                                  

The aim of the research is to demonstrate the role of uncertainty in adopting the general requirements for the strategic environmental assessment of service departments in Babil Governorate and the Environment Department. By focusing on a range of environmental problems, despite the efforts exerted to deal with the environme

Methods of teaching plays an important vole in the educational process
because is the link between the teacher and the learner. The process of
teaching doesut fulfill the desirable results unless the methods of guiding and
teaching are provided and through a qualified educationalist capable of
communicating the syllabus to the students in an easy and clear way. In spite
of the diversity of the methods of teaching ,there is no one way suitable for all
the educational purposes , all the sciences ,all the subjects ,all the levels of
growth ,levels of teaching, maturity and intelligences ,all teachers and
educationalists and all the circum stances surrounding the teaching processes
.The teacher is the one who choos

The researcher of human history finds that the first social relations on earth were represented by the violence of Adam, peace be upon him, Cain and Abel. Violence has been a phenomenon of life and society. The history of history is full of all forms of violence and its forms. It speaks of cruelty, oppression and states. History began, in some of its chapters, written with the blood of the victims. It is a testimony to the cruelty of human beings. His human nature and his sin have played a major role that can not be overlooked in the development of important and fundamental developments in some historical turning points where violence was a necessity for life, and its launching change, renewal and reform, and major revolutions in human h

The Arabic language is one of the honoring languages that has a supreme status. Being the language of the Holly Qura'an has increased its refinedness and spread in the Islamic and non-Islamic world. It has become the means of communication and conversation, and the language of knowledge and thought. The multiplicity of its dialects and accents is a sign of its capacity. Many Roman, Persian, and Greek sciences and arts have been translated and Arabicized into it. It has further become the formal language of communication in the world. Many great Arab scholars have played a role in examining it to maintain and elevate it. One of these scholars is the great scientist Mohammad Muhi Ad-Deen Abdulhameed who has done great syntactic efforts in

Scenes of love constitute a large space within the orbit of the movies, so that there is almost no film (no matter what kind) void of these scenes, as they are associated with many dimensions and they constitute a major attraction for viewers, and thus the direction solutions and their connection to the director's vision constitute a large part in the process of employing signs to highlight what should be highlighted or to refer to it symbolically on the grounds that the director does not have full freedom in the transfer of scenes of love at all levels as they are in reality. The research included three sections within the theoretical framework:The first section: the concept of image and its rhetorical importance. This section discussed