The objective of this paper is to study the stability of SIS epidemic model involving treatment. Two types of such eco-epidemiological models are introduced and analyzed. Boundedness of the system is established. The local and global dynamical behaviors are performed. The conditions of persistence of the models are derived.

The widespread of internet allover the world, in addition to the increasing of the huge number of users that they exchanged important information over it highlights the need for a new methods to protect these important information from intruders' corruption or modification. This paper suggests a new method that ensures that the texts of a given document cannot be modified by the intruders. This method mainly consists of mixture of three steps. The first step which barrows some concepts of "Quran" security system to detect some type of change(s) occur in a given text. Where a key of each paragraph in the text is extracted from a group of letters in that paragraph which occur as multiply of a given prime number. This step cannot detect the ch

the research ptesents a proposed method to compare or determine the linear equivalence of the key-stream from linear or nonlinear key-stream

The research came in order to take note of the types of inscription and to clarify its provisions and to show some of the possibilities of Islamic law in the sales side and its ability to influence in Islamic markets, and to achieve the required level and appropriate of the transactional results by activating them in economic life, and give a clear picture of the performance of selling in the law and the possibility of applying one of Its uses in this aspect, and enable them to take advantage of the method of explicitly sell without the injustice of others as one of those useful sales uses.

The killing of Imam Hussein (AS) and his family and his companions is a big tragedy that has sustained Islam and Muslims has remained generations Islamic considers the death of Hussein (AS) of the major calamities and pays homage to the memory of grief and mourning . The taking Shiite poets their active role in the perpetuation of this painful anniversary taken by the Shiites that way to stimulate and stir up emotions against the killers of Ahl al-Bayt ( peace be upon them ) has not missed poets of Andalusia and Shiites from this Wave Shiite overwhelming Vahioa anniversary and Ozvoha best recruit barely era of eras Andalusian literature but was Hussein certificate ( AS) on the tenth of Muharram day Consolation year held the celebrations

In this research we assumed that the number of emissions by time (𝑡) of radiation particles is distributed poisson distribution with parameter (𝑡), where  < 0 is the intensity of radiation. We conclude that the time of the first emission is distributed exponentially with parameter 𝜃, while the time of the k-th emission (𝑘 = 2,3,4, … . . ) is gamma distributed with parameters (𝑘, 𝜃), we used a real data to show that the Bayes estimator 𝜃 ∗ for 𝜃 is more efficient than 𝜃̂, the maximum likelihood estimator for 𝜃 by using the derived variances of both estimators as a statistical indicator for efficiency

Trigeminal Neuralgia (TN) is one of the most commonly painful cranial neuralgia characterized by paroxysmal attacks as short lasting facial pain along the trigeminal nerve branches. The aim of the present study is to innovate a biochemical relationship between (melatonin, GALNT12 and Zn) and TN and also to examine the biochemical action of tegretol (carbamazepine) as a treatment on the above biochemical parameters. Blood samples were collected from fifty four (54) trigeminal neuralgia patients diagnosed by magnetic radiation image (MRI). Patients were classified into four groups: G3 (40- 70) years composed of (12) diagnosed male (without treatment), G4 (48- 75) years composed of (12) diagnosed female (without treatment), G5 (34- 76)