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 any of them.
This article suggests and explores a three-species food chain model that includes fear effects, refuges depending on predators, and cannibalism at the second level. The Holling type II functional response determines food consumption between stages of the food chain. This study examined the long-term behavior and impacts of the suggested model's essential elements. The model's solution properties were studied. The existence and stability of every probable equilibrium point were examined. The persistence needs of the system have been determined. It was discovered what conditions could lead to local bifurcation at equilibrium points. Appropriate Lyapunov functions are utilized to investigate the overall dynamics of the system. To support the a
... Show MoreNations are developed with education and knowledge that raise the status of society in its various segments, beyond that it leads to underdevelopment and deterioration in various sectors, whether economic, health, social, etc. If we considered the general name of The ministry of Education & Scientific Studies, then the second part seems to be not functioning, since scientific research has no material allocation and remains based on the material potential of the university professor. As for the first half of the topic, the reality of the situation reveals problems related to the Holy Trinity of Education which is (Professor - Student - the scientific method) where universities suffer at the present time from this problem, and
... Show MoreThere are two ways that the contract might be formed with (contracting between persons who are attended and contracting between absence persons).the need for determining the precise moment of the contract , is so clear because there is a specify period separate between the declaration of acceptance and the knowledge with it .and it is clear from the four theories known for jurisprudence (theory of the declaration of the acceptance, theory of exporting the acceptance , theory of the arrival of the acceptance , theory of the knowledge with the acceptance ) . It is difficult to promote one theory on another one if we look at each one and the justification of its supporters and what the opponents of each theory expose. Legal background and diff
... Show MoreThe international reporting auditor witness rapidly developed over the past years, where profession began give attention to the development of auditor reporting and improve its informational report through the issuance and amendment of some relevant international auditing standards. The reality of the situation refers to the failure to inform the auditor in Iraq in many areas, including: Clearly defined management responsibility for the preparation of financial and auditor's responsibility to express an opinion on these statements and Amendment of opinion when the financial statements as a whole is free from material misstatement based on the evidence is sufficient and appropriate audit, or not to build the auditor's ability to obt
... Show MoreThe present study aims at examining the stylistic development in the crafts of the sculptor Mohammed Ghani Hikmat. It gives answers to the following two questions: what is the nature of the stylistic development? And what are these principles and techniques led him to this development? The researcher has used the descriptive, analytic approach in examining the selected five samples out of the sculptor’s displayed crafts. The observational technique is used as a tool of examination. Among the main findings are: integrating space in the cubic crafts, represented by the existence of holes within this general construction of that space; the evident influence of critical contemporary orientations through the direct insertion of recipients i
... Show MoreThe current research dealt with (the deliberative dimension of the visual sign in the contemporary Iraqi poster) in an attempt to identify the importance of the contemporary poster and the role of the international dimension of the visual sign of exceptional importance.
What is the international dimension of the visual mark?
- What is the effect of the visual label on the contemporary Iraqi poster?
The current research aims to identify the pragmatic dimension in the contemporary Iraqi poster.
Across the temporal and spatial research boundaries of the year (2000-2020) in Iraq. The limits of the objective research The limits of this study on the pragmatics in the visual sign and the determination of the relationship betwee
The Providence of the Rosaly's family to the Intellectual Movement in Yemen
The current study was designed to identify the histological composition of the ileum in the Caucasian squirrel Sciurus anomalus. Ten adult squirrels were used for the present study. Animals were anesthetized, anatomized, fixed the study specimens in 10% formalin solution, and conducted a series of histological staining techniques. The ileum consists of four main tunicae represented by mucosa, submucosa, muscularis, and serosa. The tunica mucosa consists of three secondary layers: the epithelial lining layer, lamina propria, and muscularis mucosa. The epithelial lining comprises simple columnar epithelial tissue composed of columnar cells and goblet cells. The lamina propria contains simple straight tubular glands called the int
... Show MoreAppending is a morphological term which means the addition of one or two letters to a structure to be similar to other structures of well-known abstractor additional nouns and verbs constructions. The goal of appending is to organize what have been expanded linguistically and collect similarities to reduce the syntactic rules. This is because the appended word exists for expanding purposes; however, it has no construction of its own. An appending was included with another construction with mentioning the additional letter. This by itself means that appending as a process is a term that helps organize rather than expand language. Scholars further noticed that the appending letter is not semantically significant, and so it differs from the
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