In this paper, the dynamics of scavenger species predation of both susceptible and infected prey at different rates with prey refuge is mathematically proposed and studied. It is supposed that the disease was spread by direct contact between susceptible prey with infected prey described by Holling type-II infection function. The existence, uniqueness, and boundedness of the solution are investigated. The stability constraints of all equilibrium points are determined. In addition to establishing some sufficient conditions for global stability of them by using suitable Lyapunov functions. Finally, these theoretical results are shown and verified with numerical simulations.

       The current study aimed at identifying the impact of each of the full and part time summer enrichment programs on the performance of gifted students. Moreover, it aimed to study the difference between the full and part time programs on the performance of gifted students. The study sample consisted of (115) students from the full time programs and (137) students from the part time programs, they have been randomly selected from the gifted students participating in the full and part time summer enrichment programs. The researcher used the scale of student performance. The results indicated that there were statistically significant differences between the averages of the pre and post applications of the

Background: Hypothyroidism and type 2 diabetes are common conditions worldwide, with hypothyroidism affecting 4–10% of the population and type 2 diabetes affecting approximately 10% of adults globally. The increasing co-occurrence of these two conditions may contribute to increased oxidative stress and associated complications. Low levels of antioxidants are linked to hypothyroidism with type II diabetes because of the growth and production of free radicals, which makes patients more susceptible to oxidative stress. Objective: It was to assess how low antioxidants may exacerbate the pathogenic state of type 2 diabetic hypothyroid patients. Methods: 140 hypothyroid individuals with type 2 diabetes, ages 25 to 60, were assigned to t

The worsening of environmental problems has led to them being addressed by many entities, the most important of which are the top regulators. Federal Board of supreme audit Office is one of the most important regulators in Iraq. The problem of the research was the fundamental question of the extent to which the Federal Financial Supervisory Office was committed to implementing and exercising environmental control over the audited ones. The refore, the research was based on the main objective of questioning the role of the Federal Financial Supervisory Office in the exercise of environmental control and the compliance of those under its control, by identifying the antosai standards for environmental control, particularly the stand

Abstract

 The problem of missing data represents a major obstacle before researchers in the process of data analysis in different fields since , this problem is a recurrent one in all fields of study including social , medical , astronomical and clinical experiments .

The presence of such a problem within the data to be studied may influence negatively on the analysis and it may lead to misleading conclusions , together with the fact that these conclusions that result from a great bias caused by that problem in spite of the efficiency of wavelet methods but they are also affected by the missing of data , in addition to the impact of the problem of miss of accuracy estimation

Recently, that there has been a decline in the levels of female players for this event in recent years compared to developments in the world, as this activity depends to achieve the highest level of performance on the physical capabilities and physiological indicators of the player who It is reflected in the achievement, which results in the loss of time for Iraqi female runners compared to the world champions in the (100) meter hurdles competition, which reflects on the level of achievement. The two researchers used the experimental approach in addressing the research problem, and the experimental design used the method of the two equal groups, the two experiments with the pre and post-tests. Female runner and second experimental group (4)

An analytical method and a two-dimensional finite element model for treating the problem of laser heating and melting has been applied to aluminum 2519T87and stainless steel 304. The time needed to melt and vaporize and the effects of laser power density on the melt depth for two metals are also obtained. In addition, the depth profile and time evolution of the temperature before melting and after melting are given, in which a discontinuity in the temperature gradient is obviously observed due to the latent heat of fusion and the increment in thermal conductivity in solid phase. The analytical results that induced by  laser irradiation is in good agreement with numerical results.