It is well known that the spread of cancer or tumor growth increases in polluted environments. In this paper, the dynamic behavior of the cancer model in the polluted environment is studied taking into consideration the delay in clearance of the environment from their contamination. The set of differential equations that simulates this epidemic model is formulated. The existence, uniqueness, and the bound of the solution are discussed. The local and global stability conditions of disease-free and endemic equilibrium points are investigated. The occurrence of the Hopf bifurcation around the endemic equilibrium point is proved. The stability and direction of the periodic dynamics are studied. Finally, the paper is ended with a numerical simul

Pauses as pragmatic markers are considered important devices that help readers to gain a better and deeper understanding of certain texts as well as speech, promoting effectively language communication. They can help both the speaker and the hearer, due to the functions they have in a text. Their occurrence in speech has a value that they make it more understandable. In this regard, the present study aims to examine the forms and functions of pauses in literary texts, more specifically, in selected extracts from two dramas, namely, Pinter's The Homecoming and Baker's Circle Mirror Transformation and to compare how the two writers use pauses in these two dramas. To do so, the sequential production approach of turn-taking by Sacks, Sc

Background: Dental calculus is mineralized dental plaque formed on teeth and dental prosthesis surfaces in the oral cavity. Urinary stone is a crystal aggregation formed in urinary system due to minerals saturation present in urine. The structure of dental calculus is similar to that of urinary stone. Objective: To assess oral hygiene and gingival status in patients with urinary stone. And compared with healthy subjects. Patients and Methods: Sixty participants, 25-40 years, were involved in this study who were divided into study and control group. The study group involved patients with urinary stone while the control group involved healthy subjects. Clinical parameters including plaque, calculus and gingival indices were recorded for al

Coblatcomplex has been prepared by reaction between C16H19N3O3S (L) as ligand and metal salt (II). The prepared complex were characterized by infrared spectra, electromic spectra, magnetic susceptibility, molar conductivity measurement and metal analysis by atomic absorption and (C.H.N) analysis. From these studies tetrahedral geometry structure for the complex was suggested. The photodegredation of complex were study using photoreaction cell and preparednanoTiO2 catalyst in different conditions (concentration, temperatures, pH).The results show that the recation is of a first order with activation energy equal to (6.6512 kJ /mol).

Researching the effects of the research and technological development contract, determining its extent and demarcating the boundaries of the obligations imposed in it, is the cornerstone of economic growth and development, because defining these obligations removes the ambiguity and conflict between interests, by stating the rights owed to each party and even trying to reconcile them, or impose protection by specifying guarantees that are compatible with the essence of the R&D contract, For the purpose of studying the subject thoroughly, we will divide this research into two sections. The first is devoted to identifying the parties to the research and technological development contract. As for the other topic, we will explain the obligation

The Logic of Freezers and Animals in the Holy Quran

Praise be to God, prayer, and peace be upon the Messenger of Allah and his God and his companions. The field of the judiciary to prove or invalidate some cases in the field of proof of descent and attachment to the plaintiff or exile, and other legal and judicial issues, especially in this era where the spread of previously unknown evidence, such as DNA, which was discovered in 1953, and the genetic fingerprint discovered 1984, blood analysis and a Saliva, sweat, poetry, etc. in the field of forensic evidence, in forensic medicine or medical expertise, it can be used to identify the killer, or verify his identity, using all the evidence in the scene, such as a point of blood or sweat, and the like So, as well as to prove the lineage is u

The research aims to study some of the human characteristics of the state of Singapore to know the impact of these characteristics on the strength of the state, its development and. The research included two aspects, theoretical and analytical, using the descriptive analytical method, force analysis method, as well as the historical method. The data was analyzed according to mathematical equations, including the size of the country's population, the extraction of the population growth rate and the concept of age structure, where some indicators related to this concept have been explained. The researcher reached a set of results, the most important of which were: that the population size of the state of Singapore in the period between (19

         Cosmetic products must be safe for use by consumers , It is also regulated and required the legislation of countries all over the world .  In this study out of 80 cosmetic products analyzed and 32.5% were found to be contaminated .Products such as mascara, lip pencil and eye pencil were analyzed . The contaminants including bacteria such as Staphylococcus aureus , Staphylocoocus epidermidis , Pseudomonas aeruginosa , Escherichia coli and Klebsiella pneumonia   which were ranging  in number  from (10³-10⁴ ) C.F.U. /ml and fungi such as Penicillium spp. , <