This paper presents the formulation and investigation for a stage-structured prey-predator system. We consider the stage- structure in both prey and predator populations, specifically dividing the population of prey into two distinct groups: immature prey and mature prey. We also divide the predator population into immature and mature groups. We assume that only immature predators are capable of attack, so they consume each immature and mature prey. Additionally, the rate of growth for immature prey based on the amount of mature prey, as immature prey does not have reproductive capability. We applied Holling Type I and Holling Type IV response functions to describe the consumption of immature and mature prey by immature predators, respec

Using SHA256 in the Blockchain system for security purposes, as it is important in linking blocks and preventing tampering efficiently and securely. In order to further confirm the security of SHA256 and protect it and increase its susceptibility to resist threats that it is exposed to in one way or another, its algorithm was developed by utilizing the modified skew tent map (MSTM). The developed SHA256 algorithm (D-SHA256) is distinguished by two essential features: less time and more enhanced security than its predecessor SHA256. This distinction arises from the strongly chaotic behavior and the highly randomness properties of the MSTM. Moreover, the proposed D-SHA256 algorithm consist of 32 rounds while preserving the randomness prope

In this study report, Cu-doped ferrite nanoparticles (Cu_xNi_1-xFe₂O₄), which are normally the size of less than 100 nanometers were achieved using the sol-gel method. This method consists of using citric acid as fuel, which leads to auto combustion. In this report, the samples mentioned above will be analyzed using the following techniques (XRD, FESEM, EDX), where X-ray diffraction indicated that the specimens consist of spinel phase with face-centered cubic (FCC) structure. The results showed the lattice constant of the material increased from (8.320) Å to (8.323) Å, which indicated fact that the ionic radius of copper (72) Å has a bigger size than the ionic radius of nickel (69) Å which le

This study explores the nuclear properties of even-numbered molybdenum () isotopes in the mass range 86 to 100. It focuses on the calculations of fundamental nuclear properties such as distortion coefficients ( and ), electric quadrupole moments (Q₀), root-mean-square charge radii, and reduced transition probabilities B(E2)↑. These calculations were derived using a theoretical framework based on the distorted shell model and implemented in MATLAB. The evaluation also included the identification of the two quasi-nuclear shape axes (major and minor), from which three-dimensional representations of the isotopic shapes were generated.The analysis revealed a gradual decrease in distortion coefficients and transition probabilities with in

Our work introduces the notion of  -open set. This class of - open sets is not directly comparable to the categories of soft open, -closed. We demonstrate that the category of  -open sets lies strictly between the class of -open sets and -open sets. Additionally, we investigate the connections that exist between -open sets along with other kinds of soft sets. Moreover, we provide several criteria that are sufficient for determining the equivalence between -open sets and every one of -open sets and -open sets. Also, according to our findings, the family of -open sets is a supra soft topology. Furthermore, we make it clear the correlation that exists between the respective categories of  -open sets in a soft topological space and in its

Alpha power transformation family distributions (APT) are considered one of the modern transformations that have received the attention of researchers in the past decade and are concerned with adding a shape parameter. Based on APT, this paper proposes a new distribution by adding a new parameter to the two-parameter Rayleigh Weibull distribution, a new continuous distribution called alpha power Rayleigh Weibull distribution (APRWD) including three parameters  where ρ is known as shape parameter and ɑ, δ as scale parameters. This paper also includes a presentation of the mathematical construction of the basic statistical functions: cumulative, probability density, survival, and hazard functions. We also include an expansion of the cu

In this research, we will introduce a new distribution, which is called the new exponentiated exponential-Rayleigh distribution, which is built by adding the shape parameter to the cumulative function of the exponential-Rayleigh distribution resulting from merging the cdf function of three parameters continuous distribution. Two of these parameters are scale parameters, and another is the shape parameter and this is to make this new continuous statistical distribution more flexible than other continuous statistical distributions. Besides, discuss the mathematical and statistical properties of this new distribution, including (the mode, the median, the moments about the origin, the coeffi

Epoxy resin and a mixture with unsaturated polyester resin (UPE) were prepared as the matrix materials. The preparation technique included preparing circular and square molds with different weight ratios. Standard samples (40 mm diameter) were prepared for thermal conductivity tests. The results of the thermal conductivity test of the mixture showed that it decreased from (0.014) to (0.013) significantly, which helps in thermal insulation. The decrease in its thermal conductivity means that the structure of the base material is irregular. Hardness test was performed on samples made of epoxy resin with unsaturated polyester resin, and the best hardness reading was (64.5), but when replacing the unsaturated polyester resin with a higher pe

In the context of increasing the use of nanometals in electrical and electronic applications and improving their unique electrical properties, this research explains the effect of the mechanisms of scattering of phonons at room-temperature (293K) in addition to the scattering and reflection of electrons at the surface and at grain boundary on the electrical resistivity of Tungsten metal at different thicknesses. The electrical resistivity of Tungsten was obtained by solving the Boltzmann transport equation which the electron scattering coefficient at the surface (p) is calculated by the Fuch-Sondheimer model, and the grain boundary reflection coefficient (R) by the Mayadas-Shatzkes model were calculated as (p=0.89) and (R=0.18) for Tungs

The development in the field of technology has led to an increased need to develop optical fibers due to their ability to transmit information and data with the least amount of attenuation over long distances between city centers. In this research, mode properties calculation for five step-index single-mode optical fibers with core radii of (1.9 - 2.9) μm where the increase in radius is 0.25μm, with core and cladding indices _{(n1=1.4652, n2=1.458496157),} respectively and a numerical aperture of 0.14 has been done at 1064 nm wavelength using RP Fiber Calculator (free version 2025). The fundamental fiber mode properties such as effective area, power propagated in the core, propagation constant and effective refractive index wer

The family of zinc-dependent endopeptidases known as matrix metalloproteinases (MMPs) has been linked to both healthy and unhealthy kidney physiology. Members of the MMP family known as gelatinases (MMP-2, MMP-9) are essential for the degradation of the extracellular matrix (ECM). This effect plays a significant role in the progression of chronic kidney disease (CKD).and as an indicator of chronic renal failure (CRF), which is a permanent loss of kidney function that occurs when the glomerular filtration rate (GFR) falls below 60 ml/min/1.73 m² for more than 3 months. The presented study was established to investigate the MMP-2 and -9 concentrations in the urine and serum among Iraqi patients with CRF undergoing regular weekly dialysis

The current study found no statistically significant difference in gender or age values between the colorectal cancer (n = 41), colitis (n = 19), or control groups (n = 20), despite the fact that the incidence rate of Colorectal Cancer (CRC) increased significantly with age. In addition, the data showed that alcohol raises the risk by 60.98% in the colorectal adenocarcinoma group who drank alcohol, and the male: female ratio indicated that the majority of patients with early-onset CRC were male patients compared to females. Statistically significant (P≤0.05) differences were found between CRC patients, colitis patients, and control participants who smoked. Furthermore, no significant variations in occupational exposures linked to an el

Let  be an upper triangular operator matrix which is unbounded and defined on , where  is infinite dimensional Hilbert space. This paper is concerned with new spectral properties which defined to other bounded operators. Some sufficient and necessary conditions are given in which these properties are equivalent. We further investigate the relations among Weyl’s type theorems and Brodwe’s theorems for this type of operator under some conditions. As an application the paper define the plate pending problem equation with henge end, fixed end and free end, after transform it to Hamitonian matrix then calculate the spectrum sets for this matrix which leads to if A has eigenvalues of finite multiplicity, so is M. Inaddition if  has fini

The study aimed to evaluate the efficiency of Nano powders of Cloves, Cinnamon, and Turmeric in inhibiting fungal growth and Ochratoxin a (OTA) production by Penicillium polonicum and reducing the toxin in liquid media. The research highlights the reduction of ochratoxin toxins using environmentally friendly plant Nano powders that are safe for human and animal consumption. They are mainly used in food as flavorings and preservatives. The Nano treatments of cloves, cinnamon, and the mixture (Cloves-Cinnamon-Turmeric) achieved complete inhibition of fungal growth and OTA toxin production by 100% for concentrations (2, 4, 6, 8%). The treatment of Nano Turmeric powder did not inhibit fungal growth at all concentrations. However, it

Drought stress resulting from the depletion of available water in the soil leads to disturbances in the plant's metabolic processes, reducing productivity due to its decreased ability to absorb water and essential nutrients. This study aimed to evaluate the interactive effects of three bread wheat varieties (Adna 99, Bohooth 22, and Wafia), three drought stress levels (25% control, 50%, and 75% depletion of available water), and foliar application of micronutrients(control) iron (Fe), zinc (Zn), copper (Cu), and manganese (mn) at 100 mg L-¹) and no spraying on agro-biochemical characteristics. The experiment was conducted using a randomized complete block design (RCBD) with three replications. The results showed that as drought conditio

In this paper, we present the concept of the radical of an Endo-Restricted Bounded submodule and establish its characterization, which is regarded as a new notion. In addition, we study the relationship between the radical of submodules and the radical of an Endo-Restricted Bounded submodules and this connection will give us important results in terms of their radical. Furthermore, this article will demonstrate numerous properties and corollaries that elucidate the concept of the Endo-Restricted Bounded submodule's radical. This work includes a new class of T-module as well as a T-submodule called the Endo-Restricted Bounded Module (submodule), written briefly as the Endo-R.B. module (submodule), provided with some examples that illustra

A low-cost thermal evaporation deposition technique has been used for the preparation of Cu₂Se thin films on glass substrates at RT with a thickness of 500 nm. Structural and optical properties of these films were investigated.  Structural characterization of the films was done using X-ray diffraction XRD analyses, atomic force microscopy AFM was used for the morphological characterization of the film samples, and UV-Vis spectroscopy was also used for the characterization of the samples. The films have been treated at different temperatures (403, 453 &503) K for 1 hour. X-ray diffraction (XRD-with wavelength 1.54 A) study of these films suggests a cubic structure and has prominent (220) orientation. And AFM analysis, it i

The purpose of this research is to present the new set that is named open set, where the set was defined and the general properties And the basic concepts and properties of the set were explained, such as the open set, the intersection, and the union. also In this paper the separation  axioms were defined and studied in ideal topological spaces in a new way. and discuss some properties. Also  discuss the relationship of our definition with other definitions and prove some results in the context of separation axioms in ideal topological space on this set, where the axioms of the type - space, -space and  – space were defined and the basic concepts and generalizations of these axioms on the set were studied. In addition  the  relati

A time series is a sequence of observations recorded at regular intervals. Time series analysis has applications in diverse fields such as finance, stock prices, economics, environmental science, and social network data analysis. The recorded series is used to represent a measurable quantity or attribute, such as temperature readings, economic indicators, or other variables, depending on the context of the analysis. The idea of time series analysis is to identify patterns, trends, or underlying structures within the data, as well as to make predictions or forecasts about future values based on previous observations. Autoregressive (AR) models are widely used in modeling and forecasting data from time series. This work focuses on AR model

The current study aimed to determine the effect of exposure to different colors of light and culture media with different concentrations of nutrients on growth curves, growth rates, doubling times of Chlorococcum humicola and different harvest times. The studied algae were grown in two different media, Chu13 and BG11 for comparison purpose with the effect of three colors of white, blue, and red lights. White light was adopted as a control factor. The harvest was carried out after the days (7, 14, 21, 28, 35) days of development to determine the highest growth rate in the shortest time during five weeks and therefore to determine the best harvest time in producing the highest growth rates and growth curves and the lowest doubling

To identify some of the virulence features (hemolysine, gelatenase, and biofilm formation) to study the gene expression of esp gene responsible for biofilm formation in E. faecalis bacteria.

Seventy isolates of E. faecalis were collected from diverse clinical causes, containing (urine, stool, wounds, uterine secretions) from numerous hospitals clinics in Baghdad city; Central Child Teaching Hospital, Baghdad Teaching Hospital, and the National Center for Educational Laboratories, during the period 1-7-2022 until 1-9-2022. Detection of some virulence factors (Hemolysin, Gelatinase, biofilm), Antibiotics sensitivity antibiotics was determined using VITEK2 system. esp gene expression responsible fo

The ground-state properties like the nuclear densities and the root mean square (rms) radii for exotic neutron-rich nuclei ¹⁴B and ¹⁸N have been investigated using the Skyrme Hartree-Fock and Bear-Hodgson calculations to study the structure of these nuclei. The results of the evaluation are contrasted with the experimental data that is currently available. It found that a common feature of the neutron and matter densities for the above-selected exotic nuclei is the long tail behavior. We assumed that both ¹⁴B and ¹⁸N have a structure of the core nuclei ¹³B and ¹⁷N plus a valence neutron. It found that the structure of the valence one-neutron of ¹⁴B and ¹⁸

In this work, we have carried out a detailed theoretical analysis of the nuclear deformations of some of the nuclei situated in the vicinity and within the nuclear Island of Inversion. The properties that were studied included the calculation of the magnetic moment and the electric quadrupole moment to gather with reduced quadrupole deformation parameter for even-even isotopes of Ne, Mg, and Si nuclei, to explain the behavior of the nuclei in question, and how much they deviate from the spherical shape in this critical region. All theoretical computations were conducted utilizing the NushellX@MSU shell model code within the sd space with the effective two-body interaction USDC. The comparative analysis with available experimental data re

Diffractive lenses form images based on the principle of light diffraction, unlike conventional lenses that rely on the phenomenon of refraction to form images. Diffractive lenses consist of precisely aligned structures of holes or slits that act as optical gratings. They are arranged to give the lens the optical property of changing the path of incident rays, creating an image pattern similar to that of conventional lenses. This work aims to study the image characteristics formed by diffractive lenses by conducting a computer simulation in the Zemax optical design software. The analysis tools available in the software are then used to study the quality of the resulting image and evaluate the performance of the diffractive lens. The resu

Community structures are fundamental in understanding the structure and functionality of complex networks. Different optimization algorithms, including both single-objective and multi-objective approaches, have been employed to address the challenge of community detection. Recently, multi-objective evolutionary algorithms (MOEAs) have attracted many researchers to identify communities in static networks. Many algorithms have been proposed to find a solution that achieves a trade-off between exploring new areas of the solution space and improving the quality of existing solutions. In this trade-off is crucial; whereas exploitation improves existing solutions, it may fail to find better solutions from insufficiently explored regions of the

This study included the effect of thermal neutron radiation and partial replacement of selenium with lead for S₇₀Se_30-xPb_x alloy samples with different lead concentrations (x = 0 and 5) prepared by the melting point technique. The samples were examined before and after thermal neutron irradiation for seven days with Am²⁴¹−Be⁹ radioactive source, with a radiation dose of . Continuous electrical conductivity analysis revealed changes in all samples, attributed to the rearrangement of the crystal structure caused by radiation-induced disturbances. These changes led to modifications in the electrical properties of the irradiated samples compared to the non-irradiated o

In this work, the Nickel and zinc Ferrite Ni_0.5Zn_0.5 Fe₂O₄ +XCeO₂ in purity and purity structure were prepared at multi–concentration X (0.0,0.05,0.10,0.15, and 0.20) using the solid state interaction method at a temperature (1000 °C) for four hours in air. The XR-diffraction shows that the prepared powder samples have a spinal structure at single cubic phase. The lattice parameters were decreasing from 8.331 to 8.3021 with increasing concentration of cerium's Ionic Ce⁴⁺, also the crystal volume for purity samples is larger than in purity samples, decreasing from (578.217 to 571.993) A°³ with increasing concentration. However, the real and imaginary dielectr

In this paper, orthogonal polynomials and their operational matrices will be utilized to address the initial and boundary value problems of the one-dimensional wave problem, where the domain of the space variable is bounded, which covers a variety of scientific and engineering operations. Six types of orthogonal polynomials, Include instead of such as the Genocchi, Bernoulli, Legendre, Boubaker, Chebyshev and Standard polynomials. The linear problem with its initial and boundary conditions are transformed to a linear algebraic equations, which can then be solved by utilizing  to get an approximate solution for this problem. Some test problems related to the one-dimensional wave equation with different conditions are discussed and solved

Green synthesis of nanoparticles (NPs) has gained attention as an eco-friendly alternative to conventional methods, reducing toxicity to the environment and living organisms. This study aims to synthesize a novel nanocomposite (Mag-Chi-Cur-AgNPs) composed of silver NPs (AgNPs) prepared using curcumin (Cur) as a reducing and stabilizing agent, along with chitosan (Chit) and magnetic iron oxide (Mag). Cur-AgNPs were synthesized by dissolving Cur in dimethyl sulfoxide and deionized water, followed by the controlled addition of AgNO₃. The solution was stirred, pH-adjusted, ultrasonicated, and incubated. Chit-Cur-Ag nanocomposite was formed by dissolving nanochitosan in acetic acid, mixing it with Cur-AgNPs, then stirring, washing,

Water quality assessment is important for water resource management. The current study focuses on the analysis of monitoring water quality data of the Tigris River in Iraq by applying the Iraqi Water Quality Index (WQI). Twenty-one parameters Quality standards were taken along the river for three governorates and for eight stations, starting from Salah al-Din, north of Baghdad, with one station (Samarra), and Baghdad represented by three stations (Al-Mutha Bridge, Atifia, Jadriya) and south of Baghdad represented by Kut Governorate (Aziziyah, Zubaydah, Numaniyah, Al-Muftah), and included Quality standards nine standards were used for the purposes of living organisms, including (pH, T.w., PO₄, NO₃, Cl, NO₂