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.
تعد النصوص المسمارية من اهم الوثائق التي رفدتنا بمعلومات غزيرة عن واقع الحياة اليومية في العصر البابلي القديم المتميز بتطور النشاط الاقتصادي فيه وازدهاره. وتضمن هذا البحث دراسة وتحليل لخمسة نصوص مسمارية اقتصادية غير منشورة وهي من نصوص المتحف العراقي (المصادرة) المجهولة الموقع والمصدر وهي ذات مضامين اقتصادية , ولم نستطع اثبات عائدية النصوص وذلك لانها لاتحمل صيغ تاريخية تشير الى عائدتيها باستثناء النص الا
... Show Moreيعود الأرشيف إلى تورام ايلي التاجر والذي عرف في النصوص أيضا بوكيل التجار(ugula-dam-gàr)، في دوره هذا له سلطة بين التجار في مجتمعه(مجتمع التجار)، يذكر(Garfinkle) أن التجار غالبا ما اكتسبوا ألقابهم عن طريق الوراثة ذلك قد يمنح التجار حق الدخول إلى حسابات المؤسسات العامة. كان تورام ايلي تاجرا نشيطا في أعمال قروض الفضة في أواخر عهود سلالة أور الثالثة(3)، لمدة (ثمان عشرة) سنة أعتبارا من السنة الرابعة من حكم الملك أمارسن وحتى ا
... Show MoreBroyden update is one of the one-rank updates which solves the unconstrained optimization problem but this update does not guarantee the positive definite and the symmetric property of Hessian matrix.
In this paper the guarantee of positive definite and symmetric property for the Hessian matrix will be established by updating the vector which represents the difference between the next gradient and the current gradient of the objective function assumed to be twice continuous and differentiable .Numerical results are reported to compare the proposed method with the Broyden method under standard problems.
The research included studying a group of eight cuneiform texts dating back to the Old Babylonian era, specifically to the reign of King Larsa Rim-Sin, which were identified through studying the historical versions of these texts. These texts are confiscated, i.e. texts of unknown location, because they did not come through excavations, but rather came to the Iraqi Museum either by people who obtained them through digging, or stolen and smuggled texts that are retrieved by the General Authority for Antiquities; as is the case with our texts that were found smuggled to Jordan and were retrieved by the General Authority for Antiquities.
An approximate solution of the liner system of ntegral cquations fot both fredholm(SFIEs)and Volterra(SIES)types has been derived using taylor series expansion.The solusion is essentailly
Background: Hypertension is a chronic medical condition in which the blood pressure in the arteries is elevated, it's classified as either primary (essential) hypertension or secondary hypertension, and it increases the risk of ischemic heart disease, peripheral vascular disease and other cardiovascular diseases. Several classes of medications collectively referred to as antihypertensive drugs like beta blockers, calcium channel blockers, angiotensin converting enzyme (ACE) inhibitors, angiotensin receptor blockers, renin inhibitors and statins (HMG-CoA) reductase inhibitor. Statin medication may have some beneficial effects when subjects have dental plaque or signs of periodontitis as gingival bleeding. The purpose of this study were to as
... Show MoreThe effect of air injection device on the performance of airlift pump used for water pumping has been studied numerically and experimentally. An airlift pump of dimensions 42mm diameter and 2200 mm length with conventional and modified air injection device was considered. A modification on conventional injection device (normal air-jacket type) was carried out by changing injection angle from 90 (for conventional) to 22.5 (for modified). Continuity and Navier-Stokes equations in turbulent regime with an appropriate two-phase flow model (VOF) and turbulent model ( ) in two dimensions axisymmetry flow were formulated and solved by using the known package FLUENT version (14.5). The numerical and experimental investiga
... Show MoreThe study addresses the problem of stagnation and declining economic growth rates in Arab countries since the eighties till today after the progress made by these countries in the sixties of the last century. The study reviews the e
... Show More