A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number  is determined. The local and global stability of all equilibria of the model are analyzed. The conditions for occurrence of local bifurcation in the proposed epidemic model are established. Finally, numerical simulation is used to confirm our obtained analytical results and specify the control set of parameters that affect the dynamics of the model.

Numerical Investigation was done for steady state laminar mixed convection and thermally and hydrodynamic fully developed flow through horizontal rectangular duct including circular core with two cases of time periodic boundary condition, first case  on the rectangular wall while keeping core wall constant and other on both the rectangular duct and core walls. The used governing equations are continuity momentum and energy equations. These equations are normalized and solved using the Vorticity-Stream function and the Body Fitted Coordinates (B.F.C.) methods. The Finite Difference approach with the Line Successive Over Relaxation (LSOR) method is used to obtain all the computational results the (B.F.C.) method is used to generate th

Background: Salivary biomarkers, a non-invasive alternative method to serum and tissue based biomarkers and it is consider as an effective modality for early diagnosis. Salivary microRNA 21, a nucleotide biomarker, was reported to increase in patients with oral squamous cell carcinoma. This study was conducted to measure the fold change of microRNA 21 in stimulated saliva and to study its association with smoking and occurrence of oral squamous cell carcinoma. Materials and methods: A 20 patients with oral squamous cell carcinoma who used to be smokers was included in addition to 40 control subjects (20 smokers and 20 non- smokers health looking subjects). Stimulated saliva was collected under standardized condition. Salivary microRNA 21 wa

Abstract ABSTRACT:BACKGROUND: Anterior cruciate ligament reconstruction (ACLR) is one of the most commonly performed orthopedic procedures. Technical factors especially correct tunnel placement play major role in its success. However its failure rate is still high (10%), and impingement of the graft on the posterior cruciate ligament (PCL) and the medial wall of the lateral femoral condyle is an important cause of failure. Wallplasty is a technique used to prevent graft impingement, but there is no consensus on its routine use.OBJECTIVE:Is to compare between the postoperative knee functional outcome and stability of arthroscopic ACLR performed with wallplasty versus those performed without wallplasty.PATIENTS AND METHODS: A prospective exp

This is a research in which I studied the opinions of Arab scholars, in their studies
For (what) and (whatever) the two conditionals and their indication of time, and its name
B (time in (what) and (whatever) the two conditions), and I mentioned their opinions in it
This issue was discussed and discussed, and in this study it relied on the sources of the Arabic language.
Especially the books of grammar, interpretation, and the opinions of the scholars of the principles of jurisprudence are mentioned,
I also mentioned the opinion of the scholars of jurisprudence, and how they likened (whatever) to (everything).
In its indication of repetition, and as long as it indicates repetition, it indicates
time Because repetitio

Short fiction, documentary and animation films constitute an outlet for many young filmmakers, who find in them a fulfillment of their ambitions. Therefore, this expansion in the cinematic movement witnessed by the cultural scene, despite the differences in levels, has produced films and names of promising young directors. In spreading cultural and artistic awareness and developing aesthetic taste. The research problem was represented in the following question (What are the characteristics of the short film and how its directive treatments are).
The theoretical framework included three sections: the first topic is the short film, its nature and features, the second topic is the elements of construction, and the third topic is Iraqi