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

 Is the subject of the financial structure of the most important topics for which she received the interests of scientific research in the field of financial management , as it emerged several theories about choosing a financial structure appropriate for the facility and behavior change funding them , and in spite of that there is no agreement on a specific theory answer various questions in this regard , and a special issue of the financial structure optimization.

The objective of the research was to identify the most important theories of the structure of modern financial theory has been to focus on the capture of financial firms in two different stages of their life cycle , so-called growth and ma

The correct and sincere process of socialization is working on appropriate social climate in
which this process is the provision, and the climate is achieved in the presence of a positive
environment free of negatives and contradictions, but when there is a socialization processes
inadequate and contradictory was not based on the principles of punishment and reward nor a
balance between methods soft and intensity of treatment and interaction with small and
adolescent does not require intensive social care formulas do not create the conditions
essential items required by the successful and effective socialization, the young and the young
people who are going through in such Altanisah and educational operations will be

The current research examines the employment of indicators of stereotypes and the dimensions of organizational clarification to achieve planned organizational behaviour on a sample of employees in a number of departments of the Faculties of Engineering, University of Kufa, for a sample of (122) teaching staff. This research proposes the use of positive indicators of stereotypes for both the organization and employees and their awareness of what they want to obtain and what should be done for both parties and the removal of organizational clarity represented by the functional dimension that explores to what degree the employee's understanding of the internal strategy of the organization and the strategic dimension that searches fo

في المعادلة السياسية

Books of plans are a type of writing in Islamic history , its a type of work whose authors have strived to serve as a comprehensive historical encyclopedia, and they focused most of their attention on highlighting the various aspects of the history of Egypt

Books of plans are a type of writing in Islamic history , its a type of work whose authors have strived to serve as a comprehensive historical encyclopedia, and they focused most of their attention on highlighting the various aspects of the history of Egypt. , Especially. urban side. And political, military, scientific, social , economic events.

they  authors in this Type were not satisfied with that only, but they mentioned the stages of the development of architecture and what followed until their time

The current research aims to focus on strategic vigilance dimensions and contained (environmental vigilance, technological vigilance, competitive vigilance, vigilance marketing) to improve nursing services, which include a) the quality, timeliness, problem-solving and decision-making, relationships with others, leadership skills) and measure the degree link and influence between strategic vigilance in the hospital respondent and improve nursing service that the problem of the research lies in the weakness of strategic plans and health organizations in general and the hospital surveyed (martyr Ghazi al-Hariri), in particular, the lack of awareness of the hospital researched strategy vigilant management to improve nursing services,

This paper discusses the role of Auditors' Technological Maturity in reinforcing the quality of auditing profession, through focusing on the concepts of Technological Maturity and quality of auditing profession, as well as designing a proposed model for Technological Maturity which includes five evolutionary and sequential stages, and this proposed model would contribute to reinforce the quality of auditing. This proposed model will be employed in the field of auditing profession because the importance of the development and investment in this profession and the importance of the need for specialized knowledge in Information Technology, and the result of a proposed model is development of technological knowledge for the auditor to reach