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

The possibility of implementing smart mobility in the traditional city: Studying the possibility of establishing an intelligent transportation system in the city center of Kadhimiya

    A field study aimed at identifying the degree of satisfaction of secondary school principals with regard to the role of universities and their obstacles in developing their administrative skills. It adopted the descriptive analytical approach. The research community consisted of (249) male and female principals in the schools of Baghdad (Al-Rusafa and Karkh), and the research sample was chosen by the simple random stratified method at a percentage of (40%) of the research community, and the number of the sample was (100) male and female principals. A questionnaire consisting of (40) items distributed between two domains was developed. Its validity and reliability were confirmed. The researcher used the (SPS

  This research is interested in studying the constant and the variable within the signing reality in Iraqi Kurdistan region, and the researcher tries to tackle the importance of this topic within a search that serves the Kurdish culture, and contribute to its intellectual settlement, and introducing it to centers concerned with studying singing and music science in any civilized environment, whether inside or outside the territory of Kurdistan region. We see that this research which dealt with the topic (the constant and the variable in the Kurdish signing between the past and the present) deserves research and investigation for all its causes, being one of the academic necessities that contribute in identifying the historic artist

   Increasingly, public organizations in the federal state are required to work together, as well as to work with others to achieve their objectives. In Iraq there are two levels of organizations, including federal and local, and these organizations have been forced to work for many years in an environment in which the responsibility for service delivery is shared between policy makers and service providers, and between local governments and the federal government. It is sometimes difficult to manage the relationship between these organizations (federal and local) and do not always provide the best possible outcome of this relationship. This paper reviews how to manage the relationship between local administrations and

This paper aims to discuss and analyse the role and importance of implementing industrial Policy to promote industry and enhance economic development in developing countries. The paper discusses the economic justifications for using industrial policy as well as the criticisms leveled against it, for this purpose it analyses the ideas of two different approaches to industrial policy. The first held by the neo-liberals in the USA , who oppose the use of industrial policy and emphasise the role of the market in attaining economic development. The second, represented by many economists who support the use of industrial policy to promote industry and accelerate economic development, they justify their stand by pointing to the negative

The main purpose of the research is to demonstrate the importance of the insurance sector in the economy through its role in providing security for all economic sectors and thus stimulating the gross domestic product and reducing dependence on the output of the oil sector, which may expose the Iraqi economy to several problems and imbalances, I have found that there is a great weakness in the role of the insurance sector in Iraq at the level of government, companies and individuals, and the reason for this is the lack of policies supporting the insurance sector and the lack of work in the strategy of economic diversity and the decrease of security awareness by individuals so became Developing the sector to ensure the urgent need

      Investment in high education is considered to be most important factors of production which the return an individual and social than economic returns found by searching the growing problem of unemployment, especially among youth graduates, where the unemployment rate in 2010 (50%) of these high rates have led to increased migration of scientific minds graduate recently, "to search for job opportunities outside Iraq for not hiring functions and this is in vain" clear "in the human and financial resources lead to structural imbalances in the Iraqi economy.  When calculating the correlation coefficient between the graduates and the unemployment rate where it reached (0.21) emerged from the results of

Iraq  is Suffering nowadays from the criminal triad represented by the fiscal and administrative corruption, money laundering and terrorism, which are intertwined in a very related relations, as each of them support the other . Since the over growth has been one of its characteristics leaving behind a very dangerous negative effects whether it was social , economic or even political impacts . As a result , this trial is now represents a high risk that threatens the present and the future of Iraq . On the political , economic and social level , it is well to mention that the poor direct investment , the increasing rates of poverty , unemployment , inflation as well as the smuggling of goreign currency an

The most honorable of science was what was related to the book of God, the Almighty, the Constitution of this nation and the way of its guidance and method of advancement there is no life except for him and safety only by its application and it is no secret to the competent studies of the importance of the subjective studies in the Koranic studies to address issues of great importance enlighten the path of the nation and revive From here comes the importance of the topic covered by the research, which is "Intent in the Holy Quran meanings and semantics", and this topic features features that made it worthy of writing, including the importance of clarifying theories of Qur'anic character of a systematic nature, such as the theory of inten