In this paper, we established a mathematical model of an SI1I2R epidemic disease with saturated incidence and general recovery functions of the first disease I1. Considering the basic reproduction number, we obtained conditions for both disease-free and co-existing cases. The equilibrium points local stability is verified by using the Routh-Hurwitz criterion, while for the global stability, we used a suitable Lyapunov function to analyze the endemic spread of the positive equilibrium point. Moreover, we carried out the local bifurcation around both equilibrium points (disease-free and co-existing), where we obtained that the disease-free equilibrium point undergoes a transcritical bifurcation. We conduct numerical simulations that suppo

Abstract

The aim of this paper is to model and optimize the fatigue life and hardness of medium carbon steel CK35 subjected to dynamic buckling. Different ranges of shot peening time (STP) and critical points of slenderness ratio which is between the long and intermediate columns, as input factors, were used to obtain their influences on the fatigue life and hardness, as main responses. Experimental measurements of shot peening time and buckling were taken and analyzed using (DESIGN EXPERT 8) experimental design software which was used for modeling and optimization purposes. Mathematical models of responses were obtained and analyzed by ANOVA variance to verify the adequacy of the models. The resul

The public budget in Iraq depends on a number of legislations across its fourth stages, starting from preparation to implementation and control; one of these legislations is the amended law of financial management and public Debt. No. (95) In 2004. Accordingly, the public budget cycle faces various failures, some of them resulted from the shortcomings in the legislation depended that effect on the public budget in a way or another; whereas the other failure resulted from no applying the legislation that adversely effect on the public budgeting stages that call for studying them and paying the attention toward them to present the suggestions that contribute in handling and developing public budgetin

        The aim the research that definition on the impact a lot of Analysis and evaluation jobs impact in support the employees performance the property that are Analysis and evaluation jobs is one of the jobs however of the human resource management on organization and the impact footpace big on the chractericties and performance of the people and the impact that success of the organization , And here problem stool of the research in the omission the role for the Analysis and evaluation jobs impact in support the employees performance from the upward management in the organization , Polls were adopted as tools for obtaining data and the Depart

            In this paper, several conditions are put in order to compose the sequence of partial sums ,  and  of the fractional operators of analytic univalent functions ,  and   of bounded turning which are bounded turning too.

In the name of God the Merciful
 Praise be to God and the Hall and Peace Uncle Prophet Muhammad and blindness Alo and companions
 Money is the lifeblood and a reason for living. An individual cannot live without money to make it
It is only through the necessities of life and the state that it can perform its duties and functions only
As money is so important, the state must regulate the balance of revenues
And expenses in order to avoid failure in Mizanitia, but perhaps the country may be exposed to crises
An exception that leads to misappropriation in the general Mizanitia and the Islamic Shari'ah is valid for Makkah
Time and place for all circumstances has created several ways to address the budget defici

The use of external posttensioning technique for strengthening reinforced concrete girders has been considerably studied by many researchers worldwide. However, no available data are seen regarding strengthening full-scale composite prestressed concrete girders with external posttensioned technique under static and repeated loading. In this research, four full-scale composite prestressed I-shape girders of 16 m span were fabricated and tested under static and repeated loading up to failure. Accordingly, two girders were externally strengthened with posttensioned strands, while the other two girders were left without strengthening. The experimental tests include deflection, cracking load, ultimate strength and strains at midspan, a

One of the difficulties that the kindergarten institution face is the lack of specialized teachers to work with the children at the kindergarten age for the majority  of this stage teachers were prepared to teaech in the elementary stage while the kindergarten child needs ateacher who is aware of the characteristics  and the demands of his growth and his behavioral emotional and social problems.

Therefore the best teacher must be chosen for the kindergarten and qualifying  her educationally in all that this qualifying  includes of  knowledge's.

The aims of the research:

The present research aims at the identification  of the n