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

Allah the Almighty has honored many of his slaves in the high houses for their efforts in building the scientific edifice of this nation, by demonstrating what is needed from the legal provisions for all the relations between them, and the actions that they emanate from. The tasks of the abbreviations and Almstsot, and deposited in the mabahith after various investigations and precious precious matters and showed all the human needs in his life and what is expected to happen, even on the rarest possibilities, and their efforts that left the nation on the cases of Goliath. , And Ask They are in Dar dignity with the best creatures and make us a share of those good things, and Odamna to obey Him and His pleasure until death, and forgive us

The banking system considered as one of the most important intermediate circle between creditor and debtors it is mean the most important funding rings in economic activity, whether finance takes the a consumer or investment form and therefore it is the main base to stimulate economic activity both on the demand side, both consumption and investment and therefore of the main motivating factors for economic growth.

The banking system depends in achieve its goals on the grants and loan recovery, or what is known credit process and according to what the importance referred to the role of the banking system, it is important to ensure the safety and efficiency of the mechanisms of banking device and safety is

Abstract:

   The problem of poverty is one of the most important development challenges facing developing countries including Sudan for several decades. Although many efforts have been made to reduce poverty, however, its rates are increasing, and public policies adopted by the government in this regard remain elusive in achievinging its main objectives or making any significant progress. The purpose of the present study is to analyse poverty in Sudan by identifying its measurement, causes and the factors that have contributed to the increasing poverty rates over the past two decades. Also this study aims at investigating the interim poverty reduction strategy in Sudan as well as evaluates that strategy throug

Research Summary

        The doctrine of belief in the Last Day is one of the pillars of faith, and the doctrine of resurrection and reckoning are part of this day.

 Belief in the Last Day puts a person in constant control over himself, as this control creates in this person happiness and a decent life, and he renounces the world and turns away from all vices and adorns all virtues.

        On the other hand, we find that the person who does not believe in this day does not stand before his eyes anything that prevents him from doing injustices and corruption in the land. The doctrine of belief in the Last Day alone is

There is an association between the signifier and the signifier. This association shows the eyeball, which acquires a direct presence and whose presence influences the level of production of the hidden connotation. Because the theatrical presentation is a series of auditory-visual functions, these signs are looking for the exploration of their meanings and their evocation to form a complete loop to achieve the association of the above. This is what made the researcher to monitor the abundance of semantic shifts in theatrical presentation as long as the implications of the strategy continue in the game of semantic production with multiple horizons, and the idea in theatrical presentation tolerates multiple readings according to the refere

The research aims to show the effect of some short-term debt instruments (central treasury transfers, cash credit granted to the government by commercial banks) on the production of the wheat crop in Iraq, through its effect on money supply during the period (1990-2018), As the study includes two models according to the statistical program (Eviews9), the first model included measuring the effect of short-term debt instruments on money supply, and the second measuring the extent of the money supply's impact on Wheat crop production, as the results of the standard analysis showed that the short-term debt instruments used in the model were Significant effect on wheat crop production indirectly through its effect on money supply, As

The Imam Ibn al-Mundhir is likely in Shafi'i school. He has outlined some issues and disagreed with his doctrine. And that the vocabulary on which he relied on the weighting is correct and correct and I choose which I say. One of the most likely issues is the delay of Isha prayer to the darkness. And other issues simplified in the folds of research and study.

   The aim of the research is to demonstrate of the relation and the influence of the components of economic intelligence (strategic alertness, information security policy, impact policy) in achieving of economic growth (creativity, competitiveness, quality improvement). The questionnaire was used as a main tool for selected sample. Answers analyzed by using the statistical program (SPSS)  to calculate the arithmetic mean, standard deviation, weight percentage, correlation, F test, and Squared factor (R2).

 The research derived its importance from the distinguished role of information systems in the work of industrial companies, and its impact toward achieving economic growth rates in its various activities. T

This research attempts to dust briefly the concept of deliberativeness in Arabic rhetoric, which was only understood in light of modern Western linguistics, starting with its definition (conformity of speech to the necessity of the case with its eloquence) which contains the elements of the entire creative process as shown by this brief study, in the first chapter that He was labeled (deliberative in Western and Arab thought), and we had started it with deliberation in western thought in the first topic in an attempt to highlight the western concepts of this term so that we could discern its originality in the Arab rhetorical heritage that came next in the second topic (deliberative in Arab thought), explaining the appropriate Th