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 investigatio

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Degradation of soil quality is an inevitable consequence of modifications to the characteristics of the soil that contribute to a decrease in ecosystem services. Numerous stressors, including chemical, biological, and physical ones, as well as those originating from both natural and artificial sources. The most prevalent kind of soil contamination that contaminates soil biota is agrochemicals. Soil is the most common place for xenobiotic dumping, which makes it the most probable source of other natural resources' pollution, such as surface and ground waters, based on the results of several studies. The danger to the environment posed by polluted soils is influenced by a variety of biological and physicochemical mechanisms that regul

The Arabic Grammar between Originality and Sufficiency

The Moslem women between west and Islam ,This study deals with Muslim women
from the west Pont of view in the oriental studies or the western media and how it was
exposed to ill-treatment or evil-eyed by the west due to misunderstanding or it was done on
purpose that they didn’t comprehend how the women deals with Islam ,so this western view
assured that Islam had disparaged the women's position and hindered her freedom, aiming at
stabbing Islam and dislocate the Islamic tissue which is formed from man and women.
This study has established with evidences the distance of this western view from reality
Islam in fact raised and lifted women's position while the western women was living on
the margin of life, robbed

This research Find semantic relations between the Holy Quran and readings anomalous in particular, does not mention the readings anomalies are all but signed the examples of them where he found a marked contrast between them and what is known in the Holy Quran, and the intervention of research in the words of the commentators and between their views and stated what is unacceptable and what before, nor Luck meaning significantly different in some readings, leading to different Islamic ruling as well, also found that of the readings made clear what is meant by the blessed verse in the Holy Quran and signed to be even if it was abnormal.

Multiplicative inverse in GF (2 m ) is a complex step in some important application such as Elliptic Curve Cryptography (ECC) and other applications. It operates by multiplying and squaring operation depending on the number of bits (m) in the field GF (2 m ). In this paper, a fast method is suggested to find inversion in GF (2 m ) using FPGA by reducing the number of multiplication operations in the Fermat's Theorem and transferring the squaring into a fast method to find exponentiation to (2 k ). In the proposed algorithm, the multiplicative inverse in GF(2 m ) is achieved by number of multiplications depending on log 2 (m) and each exponentiation is operates in a single clock cycle by generating a reduction matrix for high power of two ex

The aim was to design a MATLAB program to calculate the phreatic surface of the multi-well system and present the graphical shape of the water table drawdown induced by water extraction. Dupuit’s assumption is the base for representing the dewatering curve. The program will offer the volume of water to be extracted, the total number of wells, and the spacing between them as well as the expected settlement of soil surrounding the dewatering foundation pit. The dewatering well arrangement is required in execution works, and it needs more attention due to the settlement produced from increasing effective stress.