In this paper, the general framework for calculating the stability of equilibria, Hopf bifurcation of a delayed prey-predator system with an SI type of disease in the prey population, is investigated. The impact of the incubation period delay on disease transmission utilizing a nonlinear incidence rate was taken into account. For the purpose of explaining the predation process, a modified Holling type II functional response was used. First, the existence, uniform boundedness, and positivity of the solutions of the considered model system, along with the behavior of equilibria and the existence of Hopf bifurcation, are studied. The critical values of the delay parameter for which stability switches and the nature of the Hopf bifurcat

In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R³ is introduced. The modelling of the majorant function (MF) with the modified Newton method (MNM) is employed to convert N3D-VIOE to the linear 3D Volterra type integral operator equation (L3D-VIOE). The method of trapezoidal rule (TR) and collocation points are utilized to determine the approximate solution of L3D-VIOE by dealing with the linear form of the algebraic system. The existence of the approximate solution and its uniqueness are proved, and illustrative examples are provided to show the accuracy and efficiency of the model.

Mathematical Subject Classificat

    Soft clays are generally characterized by low shear strength, low permeability and high compressibility. An effective method to accelerate consolidation of such soils is to use vertical drains along with vacuum preloading to encourage radial flow of water.  In this research numerical modeling of prefabricated vertical drains with vacuum pressure was done to investigate the effect of using vertical drains together with vacuum pressure on the degree of saturation of fully and saturated-unsaturated soft soils.  Laboratory experiments were conducted by using a specially-designed large consolidometer cell where a central drain was installed and vacuum pressure was applied. All tests were conducted

ABSTRACT

The research aims to clarify the role of electronic marketing and what it can achieve in promoting the products of the national industry in Iraq. Marketing channel depends on modern communication and information technology that industrial and metal companies can use in promoting and selling their products along with traditional marketing outlets. To achieve the objectives of the research, a questionnaire was used, which consists of three axes, the first includes the personal data of the sample (gender, age, educational attainment, place of residence, marital status, income level), while the second axis includes various questions about the products of the national industry. Third axis includes que

The purposes of study are to measure the perceived competence and the locus of control among sixth-grade students, to identify the statistical differences between the perceived competence and the locus of control among sixth-grade students regarding the variable of gender, achievement, and economical status, and lastly, explore the correlation relationship between perceived competence and locus of control among sixth-grade students, To do this, the researchers have constructed two scales: one to measure the perceived competence based on bandura's theory (social-cognitive theory) which consisted of (26) items and the other to measure the locus of control based on Rotter's theory (social-learning theory) which included (25) items. The samp

The study aims to indicate the role of strategic financial accounting  in the service investors  to take appropriate decisions in the future, Through what is provided by the strategic accounting, the future of information and data that enable the investor to make future investment decisions appropriate، If no longer traditional financial accounting putting meet all existing and prospective investors Requirements، That reliance on historical data and information already signed and neglected aspect of future, From this point it was to highlight the role of strategic financial accounting to contribute in this area.

It is no secret to anyone that studying and investigating books of jurisprudence, despite their suffering, is a pleasure that cannot be compared to pleasure, and it has benefits and importance that cannot be limited and summed up, and it has great fruits that researchers and students of knowledge reap, as well as enriching libraries with jurisprudential material, after dusting them and taking them out to the light of libraries to be seen. Researchers and scholars, generation after generation, so that this nation can benefit from this pioneering intellectual and scientific product that was written for us by our first ancestors of working scholars who enriched human civilization with this scientific material, which has become a beacon guid

This study is an objective literary study of the poems of Abu Dhu'ayb Al-Hudhali and Su'da Bint Al-Shamrdal. It aims to shed light on the philosophy of death in the poems, and the way this philosophy is treated by both poets. Thus, the main prominent poetic images have been addressed and the outstanding ones have been singled out. The study further investigates the intertextuality with other poetic verses and Quranic verses and reviews the deviation in their semantic, syntactic, and phonetic types. The study adopts the historical approach to examine the occasion of the poems by referring to several historical sources that indicate the seniority. It also adopts the and descriptive-analytical approach represented by the use of content anal

Need organizations today to move towards strategic thinking which means analyzing situations faced by particular challenges of change in the external environment, which makes it imperative for The Organization That to reconsider their strategies and orientations and operations, a so-called re-engineering to meet those challenges and pressures, to try to achieve improvement root in the installation of the organization and methodscompletion of its work towards achieving high levels of performance and that is reflected to achieve its objectives, and this is what aims to Current search to deal with implications characteristics of strategic thinking in the stages of application re-engineering business of the company General Industries