In this paper a mathematical model that analytically as well as numerically
the flow of infection disease in a population is proposed and studied. It is
assumed that the disease divided the population into five classes: immature
susceptible individuals (S1) , mature individuals (S2 ) , infectious individual
(I ), removal individuals (R) and vaccine population (V) . The existence,
uniqueness and boundedness of the solution of the model are discussed. The
local and global stability of the model is studied. Finally the global dynamics of
the proposed model is studied numerically.

God is the source of every grace in which man lives and enjoys, and there is no one in the world told himself that created and destined and ridiculed and found out of nothing God Almighty alone.
The grace is an affliction from God Almighty, when God Almighty blesses his servant with money or children and others, the slave thinks the acceptance of God Almighty, but may be a source of affliction and scrutiny.

The paradise, the collection of a paradise through which it shows us the wonders of the divine-made, and reflect us the pleasure of looking and luster of beauty, and the splendor of creation, and all this is in the interest of this human being; To be a safety valve to collapse. But if this man deviates and forgot the blessed man, drowned in the vanity and vanity, and deviated from the divine method, this same heaven will disown him and reveal to him another face of destruction and devastation.
What we will see in the folds of the search, God willing

In this paper, there are two main objectives. The first objective is to study the relationship between the density property and some modules in detail, for instance; semisimple and divisible modules. The Addition complement has a good relationship with the density property of the modules as this importance is highlighted by any submodule N of M has an addition complement with Rad(M)=0. The second objective is to clarify the relationship between the density property and the essential submodules with some examples. As an example of this relationship, we studied the torsion-free module and its relationship with the essential submodules in module M.

The aim of the current study is to identify the morphological description of the tongue in mongoose (Herpestes javanicus) and its relation to the feeding pattern. For this purpose the (5) samples of tongues were dissected from the head of mongoosecaught from different areas of Al-Najaf province, cleaned in normal saline and examined under the dissecting microscope. The results showed the absence of the middle groove in the lingual apex area. As well as the absence of lingual prominence in the body area. The dorsal surface is characterized by the presence of four types from lingual papillae (filiform, cylindrical, fungiform, circumvallate), while the ventral surface is free of lingual papillae. The filiform papillae spread throughout the dor

Marriage is a holly secret in Christian religion .So it id natural that its ceremonies acquired religious form .In general the marriage is contracted by minister of religion in presence of the two parties or by a proxy or presence of parents if it is necessary . And to make the condition of publicity for the marriage ,its procedures must be made before witnesses .Also the minister of religionhave to confirm the agreement of the two parties before beginning the procedures.The marriage ceremonies are made.These procedures are religious traditions that includes praying and make blessings and putting the rings in fingers by thepriest . The marriage is a holly secret performed by the crown pray according to the church religious traditions

The dependency means the existence of a subordinate to whom a dependant is attached and extends his judgment to him, being and nothing, Dependency has elements that must be available to achieve the dependency relationship, which is the existence of dependent and master with a link join the first to the second, and dependency may be between two obligations, between two rights, or between two things, And we suggested the nature of the obligation as a criterion for verifying the existence of dependency , Which requires the subordinate's attachment to the master with a permanent fateful bond so that one of them does not separate from the other, for the existence of the follower is associated with the existence of the master and it does not e

The present study aims at analyzing the polysemy of the English preposition in from the cognitive linguistic (CL) point of view using Evans' and Tyler's approach (2003). The perplexity faced by Iraqi second language learners (L2) due to the multi-usages of this preposition has motivated the researcher to conduct this study. Seventy-six second year university students participated in this experimental study. The data of the pre-test and post-test were analyzed by SPSS statistical editor. The results have shown the following: First, a progress of more than (0.05≤) has been detected as far as students' understanding of the multiple usages of the preposition in is concerned. Second, the results of the questionnaire have s

The current research focuses on a major problem: the weak role of disclosing corporate information in the application of laws, regulations and instructions related to the application of corporate governance principles weakens the ability to protect the rights of shareholders and investors in companies listed on the Iraqi Stock Exchange and the study aims to study and analyze the role of disclosure and transparency in achieving the necessary protection to ensure the rights of shareholders. The study was applied to a sample of (42) analysis samples representing (84%) of the total questionnaires distributed to investors and shareholders in all listed companies in the Iraqi Stock Exchange. The results confirm the shareholder's right to obtai

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