We investigate mathematical models of the Hepatitis B and C viruses in the study, considering vaccination effects into account. By utilising fractional and ordinary differential equations, we prove the existence of equilibrium and the well-posedness of the solution. We prove worldwide stability with respect to the fundamental reproduction number. Our numerical techniques highlight the biological relevance and highlight the effect of fractional derivatives on temporal behaviour. We illustrate the relationships among susceptible, immunised, and infected populations in our epidemiological model. Using comprehensive numerical simulations, we analyse the effects of fractional derivatives and highlight solution behaviours. Subsequent investigations will examine the impact of regional heterogeneity, providing significant perspectives for epidemiological research.
The usual methods of distance determination in Astronomy parallax and Spectroscopic with Expansion Methods are seldom applicable to Nebulae. In this work determination of the distances to individual Nebulae are calculated and discussed. The distances of Nebulae to the Earth are calculated. The accuracy of the distance is tested by using Aladin sky Atlas, and comparing Nebulae properties were derived from these distance made with statistical distance determination. The results showed that angular Expansions may occur in a part of the nebulae that is moving at a velocity different than the observed velocity. Also the results of the comparison of our spectroscopic distances with the trig
Ön söz
Büyük dil bilgini Kaşgarlı Mahmud’un Divan-ı Lugat-it Türk isimli muazzam eseri, 1910’a kadar adı bilinen, fakat kendisi meçhul bir eserdi. Diğer bir deyişle, o zamana değin, eserin sadece adı vardı, fakat kendisi ortada yoktu. Eser, bugün bütün dünyada biliniyor, hakkında kitap, makale yazılıyor ve üzerinde tartışmalar yapılıyorsa, bunu büyük kitap aşığı, ilim ve kültür sevdalısı Ali Emiri Efendi’ye borçluyuz. Ali Emiri Efendi, Abbasi Halifesine sunulmak üzere Bağdat’ta 1072-1074 yıllarında Kaşgarlı Mahmud tarafından yazılan bu muhteşem eseri, sahaflarda Divan-ı Lugat-it Türk olduğu bilinmeden satılı
... Show MoreMeans the current research to study the organization formal and its role in demonstrating aesthetic values of the publications issued by the Telecommunications Company (Asia Cell) in Iraq, where is the organization the formal need for a mission to find the concepts and dimensions of the functional and expressive and aesthetic added to the impact of the actor in achieving the goals set for the publication.
The target is determined by the researcher to disclose the role of formal organization to show the aesthetic values of the publication to reach scientific results
In this paper, the author established some new integral conditions for the oscillation of all solutions of nonlinear first order neutral delay differential equations. Examples are inserted to illustrate the results.
Krawtchouk polynomials (KPs) and their moments are promising techniques for applications of information theory, coding theory, and signal processing. This is due to the special capabilities of KPs in feature extraction and classification processes. The main challenge in existing KPs recurrence algorithms is that of numerical errors, which occur during the computation of the coefficients in large polynomial sizes, particularly when the KP parameter (p) values deviate away from 0.5 to 0 and 1. To this end, this paper proposes a new recurrence relation in order to compute the coefficients of KPs in high orders. In particular, this paper discusses the development of a new algorithm and presents a new mathematical model for computing the
... Show MoreThe quality of Global Navigation Satellite Systems (GNSS) networks are considerably influenced by the configuration of the observed baselines. Where, this study aims to find an optimal configuration for GNSS baselines in terms of the number and distribution of baselines to improve the quality criteria of the GNSS networks. First order design problem (FOD) was applied in this research to optimize GNSS network baselines configuration, and based on sequential adjustment method to solve its objective functions.
FOD for optimum precision (FOD-p) was the proposed model which based on the design criteria of A-optimality and E-optimality. These design criteria were selected as objective functions of precision, whic
... Show Morein this paper fourth order kutta method has been used to find the numerical solution for different types of first liner
This study aimed at identifying how children express the emerging coronavirus in general and according to their age groups (4-13 years) by analyzing 91 of their drawings published online, using the descriptive content analytical approach. The results showed that children's artistic expression of the virus came according to the concepts and ideas they carried about the virus for the age groups of (4-7 years) and (7-9 years), while it came according to visual perception for age groups (9-11 years), and from (11-13) years. Also, most children were aware about the presence of the virus and its widespread around the world, but (99%) of them do not realize the seriousness of the virus. It was confirmed that between (25-34%) of children were su
... Show More