In this paper, the conditions under which the occurrence of the local bifurcation (such as saddle-node (SN), transcritical (TC), and pitchfork (PT)) of all stable points of a food web model have been investigated. Fear and anti-predator responses involving the Holling-type IV and Growly-Martin functional responses have been found. It has been shown that there are transcritical and pitchfork bifurcations near  H₃, H₄, and H₆  as well as a saddle-node bifurcation close to the positive equilibrium point. In addition, there is a saddle-node bifurcation in close to the positive equilibrium point. These divergences have materialised into existence. In conclusion, To prove that the analytical

The main objectives of this pepper are to introduce new classes. We have attempted to obtain coefficient estimates, radius of convexity, Distortion and  Growth theorem and other related results for the classes

Let  be a commutative ring with identity, and  be a unitary left -module. In this paper we introduce the concept pseudo weakly closed submodule as a generalization of -closed submodules, where a submodule  of an -module  is called a pseudo weakly closed submodule, if for all , there exists a -closed submodule  of  with  is a submodule of  such that . Several basic properties, examples and results of pseudo weakly closed submodules are given. Furthermore the behavior of pseudo weakly closed submodules in class of multiplication modules are studied. On the other hand modules with chain conditions on pseudo weakly closed submodules are established. Also, the relationships of  pseudo weakly closed

The estimation of the stressÙ€ strength reliability of Invers Kumaraswamy distribution will be introduced in this paper based on the maximum likelihood, moment and shrinkage methods. The mean squared error has been used to compare among proposed estimators. Also a Monte Carlo simulation study is conducted to investigate the performance of the proposed methods in this paper.

     Atenolol was used with povidone iodine to prove the efficiency, reliability and repeatability of the long distance chasing photometer (NAG-ADF-300-2) using continuous flow injection analysis. The method is based on reaction between atenolol and povidone iodine in an aqueous medium. Optimum parameters was studied to increase the sensitivity development of method. Calibration graph was linear in the range of 2-19 mmol/L for cell A and 5-19 mmol/L for cell B. Limit of detection 146.4848 ng/55 µL and 2.6600 µg/200 µL respectively to cell A and cell  B. Correlation coefficient (r) 0.9957 for cell A and 0.9974 for cell. Relative standard deviation (RSD %) was lower than 1%, (n=8) for the determination of

   The notions Ǐ­semi­g­closedness and Ǐ­semi­g­openness were used to generalize and introduced new classes of separation axioms in ideal spaces. Many relations among several sorts of these classes are summarized, also.

   The main aim of this paper is to use the notion  which was introduced in [1], to offered new classes of separation axioms in ideal spaces. So, we offered new type of notions of convergence in ideal spaces via the set. Relations among several types of separation axioms that offered were explained.

      In the current study, the observations depended on some nuclear properties of Germanium isotopes that are used for multiple purposes by studying transverse sections when interacting with charged particles such as alpha and proton particles and their interaction with gamma rays of conjugal isotopes relative to the stability of the nucleus with other nuclei. By calculating the cross sections of the  (α, )   ,  (γ,x)0-NN-1, (γ,2n)  , (α,p)  reactions of  isotope. Nuclear reactions in the newer global libraries (EXFOR, ENDF, JEF, JEFF, GENDL) have been published to identify appropriate energies in calculating the inverse nuclear re

In this work, a step-index fiber with core index  and cladding index  has been designed. Single-mode operation can be obtained by using a fiber with core diameters 4–13 µm operating at a wavelength of 1.31 µm and by 4–15 µm at 1.55 µm. The fundamental fiber mode properties such as phase constant, effective refractive index, mode radius, effective mode area and the power in the core were calculated. Distributions of the intensity and the amplitude were shown.

     The superconductor compound (YBa2Cu2.8Zn0.2O7+δ) is prepared by solid state reaction (SSR), Sol-gel (SG) and laser Pulse deposition (PLD) methods. We used the X-ray diffraction technique, which shows an orthorhombic crystalline system for all the samples, and increase in the high-phase (Y-123) and decrease in low-phase and vary in proportion according to the method of preparation with the emergence of some impurities. The behavior of the samples in terms of electrical resistance and critical temperature was investigated all samples showed superconducting behavior. The properties of the dielectric (real dielectric constant, imaginary dielectric constant, loss tangent, alternating electrical conductivity) were s

In this paper the Galerkin method is used to prove the existence and uniqueness theorem for the solution of the state vector of the triple linear elliptic partial differential equations for fixed continuous classical optimal control vector. Also, the existence theorem of a continuous classical optimal control vector related with the triple linear equations of elliptic types is proved. The existence of a unique solution for the triple adjoint equations related with the considered triple of the state equations is studied. The Fréchet derivative of the cost function is derived. Finally the theorem of necessary conditions for optimality of the considered problem is proved.

    Saccharin is firstly synthesized in 1879. It is a very well-known as an inexpensive substitute for sugar as it is a non-caloric sweetener. The article shows the properties, use, metabolism and various synthesis and reactions of saccharine. Moreover, the toxicological reports explain that saccharin is mostly responsible for the bladder tumors observed in the male rats, the relationship between the consumption of saccharin and bladder cancer is afforded by epidemiological studies.  The benefit-risk evaluation for saccharin is hardly to indicate. Saccharin is a sugar substitute, frequently used either in food industry, or in pharmaceutical formulations and even in tobacco products. The chemistry of saccharin is inter

Ceftriaxone sodium were one of the widely antibacterial drugs used. Azo dye derivatization of diazonium salt that formed via the reaction between ceftriaxone with hydrochloric acid and sodium nitrite was developed for the on-research drug analysis then coupling with each one 2,5-dimethylphenol (2,5-DMP) and 4-tertbutylphenol (4-TBP) respectively in the alkaline media. The developed diazonium coupling methods include an optimization study. The results show a limit of detection and limit of quantification 0.482, 0.284 µg/mL, and 1.607, 0.945 µg/mL using 2,5-DMP and 4-TBP reagents respectively. Moreover, the recovery % obtained was 100.89%, and 103.37% at linear concentration range 3.0 – 50, and 10 – 30 µg/mL, with mo

     In the present study, the properties of the light elements, namely, H, He, Li, and Be, have been reviewed. Specifically, the nuclear decay of these nuclei has been reviewed. The mystery of the nuclear decay and potential is behind this work. The role of neutron has been investigated. The N/Z ratio has also been investigated in the study to relate the nuclear decay with the ratio. A new formula for nuclear potential has been suggested in the present study. This formula can describe the binding energy potential and the decayed particle energy depending on the N/Z ratio.

We studied in this investigation the changes of the continuous conductivity of the electricity (σ_d.c) due to substituting part of Selenium with Lead in an S₆₀-Se_40-X-Pb_X alloy at weight ratios x = 0, 10, 20, and 30. Our investigation includes an examination of σ_d.c. mechanisms in chalcogenide semiconductors and governing the equations of the continuous D.C. electrical conductivity, and the application of these measured characteristics of S₆₀-Se_40-X-Pb_X glasses to assess Lead's impact on extended, local, and Fermi energy state densities. Some procedures were applied to the materials, such as mixing, grinding, heating in quartz ampoules, placing them

     Chronic kidney disease (CKD) is a severe medical disorder manifested by a decline in kidney function over an extended period. This leads to the accumulation of toxins and the gradual inability to remove excess waste and fluids from the body. Microtubule-associated protein 2 (MAP2) is part of a protein family that regulates microtubule structure and cellular metabolism. This study aims to analyze the effectiveness of these parameters in evaluating CKD and its associated mechanisms in Iraqi patients. The study was conducted from December 2023 to May 2024. Ninety subjects enrolled in this study: 60 patients with CKD who attended the Baghdad Teaching Hospital/Medical City/ Dialysis Unit in Baghdad, Iraq. Additionally, 30 healthy sub

Dental caries, also named tooth decay, is a major issue for oral health and is caused by bacteria in dental plaque. Detecting caries early on is essential for preventing further damage. Because caries are often small, they can lead to unnecessary treatments or missed diagnoses. This study tackles the challenge of spotting dental caries using color image analysis. We tested both traditional methods—like Quickshift, Simple Linear Iterative Clustering (SLIC) superpixels, and k-means clustering—combined in the Multi-Step Segmentation with K-Means (MSS-KM) approach, as well as a more advanced deep learning method using YOLOv12 for segmentation. The evaluation of the performance of these methods based on accuracy, precision, recall, mean a

In this work, two carrier concentrations with dye D102 were used in a dye-sensitized solar cell to perform a comparative evaluation of the efficiency and influence on the study of key parameters affecting the device performance. To achieve this goal, the cell transfer power, current, current density and fill factor were calculated to estimate the power conversion efficiency (PCE) of DSSCs. Electrons move from the excited state of indolene D02 to the conduction band of ZnO to produce current for DSSCs through the assumed energy levels of donor indolene and acceptor ZnO in the hetero junction device to be continuous. The effect of carrier concentration and coupling strength on the improvement of the contact efficiency of D102 hetero juncti

The sol-gel method was used in this study to create the Zn-CdFe₂O₄/SnO_2(0.15) nano ferrite, and XRD, FE-SEM, and EDX methods were used to evaluate the nano ferrite's characteristics. The findings showed that the lattice constant of the sample CdFe₂O₄/SnO_2(0.15) is higher than that of ZnFe₂O₄/SnO_2(0.15) and Zn_0.5Cd_0.5Fe₂O₄/SnO_2(0.15) and that the resultant compound possesses a cubic spinel ferrite phase. The crystal size was on the nanoscale, according to Scherrer-Williamson Hall. Based on the FE-SEM images, it can be noticed its shape as semi-spherical or spherical; the prese

Crude oil is known globally as one of the major causes of environmental pollution. This chemical compound exerts exhausting impacts on cultivable lands and water surfaces, leading to profound damage to agriculture and aquatic life. Over the years, several bioremediation approaches have evolved to manage this pollution problem properly. A phylum of microorganisms known as cyanobacteria offers an efficient alternative to established bioremediation methods. We conducted the present study to investigate the effectiveness of cyanobacteria in eliminating residual total petroleum hydrocarbon (TPH). Synechococcus algae treated three concentrations of crude oil (0.6, 1.8, and 3 ppm) over four time periods (on days 3, 6, 9, and 12). The g

In this paper, point estimation method for parameters α and λ of the parameters of the Exponential-Rayleigh distribution have been estimated by the use of a simulation technique by using two Bayesian estimation methods; the first Bayesian method of estimation consists of Lindely approximation estimation method and the second Bayesian estimation method consists Tierney and kadane approximation estimation method to estimate all the unknown parameters (α,λ) of Exponential-Rayleigh distribution. Comparisons between these two methods were made by employing mean squares error criterion. Applying a simulation technique with different sample sizes, these methods are being compared.

This paper introduces a new model with two parameters titled “Shanker Weibull distribution". This distribution is obtained by merging the Shanker distribution with a scale of one parameter and the Weibull distribution with a shape parameter. First, we present the mathematical structure of the new distribution, which depends on the survival function for each of the Shanker and Weibull distributions. The statistical functions of this new distribution are presented, such as the cumulative, probability density, hazard and survival functions. In addition, we discuss the behavior of the probability density function and the hazard function by mxamining their shape. We also present the statistical properties of this distribution, which include

One of the generalizations of the usual metric function is b-metric, which allows the researchers a wider aria to derive many results and applications regarding the fixed point theory.  This aim of the article is to advance new three fixed point principles in complete b-metric space  instance  is continuous function in two variables. Here, there are three directions to prove existence and uniqueness of fixed point. First, deriving a result in sense of Branciari’s theorem by combining integral contractive conditions with the idea of cyclic map. Second, applying the notion of cyclic representation regarding maps satisfying general weak conditions including an altering distance function to simulate the cont

In the last decades, functional differential equations have attracted the attention of many researchers; they were interested in the theory and its applications. The most common differential equations of functional type are advanced, neutral, and delay DEs. The theory of oscillatory DEs with retarded arguments has a paramount effect on the qualitative properties of DEs. It is essential to deduce conditions for oscillatory and non-oscillatory solutions. The objective of this paper is to obtain oscillatory conditions for differential equations with retarded arguments. So, the oscillatory behavior has been considered in the nonlinear differential equations (DEs) of neutral type with three delays. Some important conditions of all functions h

An unsaturated polyester's (UPE) mechanical and thermal properties were modified by incorporating nanosized titanium dioxide (TiO₂) particles with 1, 2, 3, 4, and 5% weight ratios. 3% of TiO₂ is the best weight percentage that can be added to UPE to improve its impact strength from 8.74 MPa to 8.87 MPa, its hardness value from 82.23% to 86.63%, its tensile strength from 7.698 MPa to 24.76 MPa, and its thermal conductivity from 0.308499 W/m.^oC to 0.566916 W/m^oC. Also, the thermal stability of UPE/3% TiO₂ was improved using thermogravimetric analysis (TGA). XRD measurement was employed to verify the change caused by adding TiO₂ particles to the internal structure of unsatura

Let (X,W,T) be a fuzzy b- metric space, where X is a non-empty set, W is a fuzzy set on X×X×(0,∞) to [0,1], and T is a continuous t-norm, and let a function φ:[0,1]→[0,1] satisfies the following conditions: The function φ is strictly decreasing and continuous, φ(c)=0 If and only if c equals 1 and φ(T(c,a))= T(φ(c),φ(a)), where c and a in X. Which is called φ- function and use it to define φ- Contraction mappings of type Ι and ΙΙ. In this research, we will complete the study of many authors about fixed point theory on fuzzy b-metric spaces as Ashraf (1) and Rakic et al (2) and generalize some results on fixed points theory on fuzzy metric spaces to fuzzy b- metric spaces with simplify different proofs. Shen et,al (3) esta

This present study focuses on the analysis of peristaltic transport involving hybrid nanomaterial fluid through a tapered channel. Peristalsis of hybrid nanomaterial with variable viscosity is studied here. Thermal heat and velocity  with no-slip conditions are considered in the investigation. In order to simplify governing equations small Reynolds number and large wavelength assumptions are used, the exact solution for formulation of stream function , axial velocity and temperature are determined based on the perturbationechnique . In the present study, water is used as a head liquid while nanoparticle contains polystyrene and grapheme oxid. Additionally, main purpose is to explain impacts of  various physical parame

 A histological study was conducted to examine the structure of Cerebellum in Coturnix coturnix (Linnaeus). The results showed that the cerebellum is a portion of the Rhombencephalon and Metencephalon lying behind the cerebrum, the surface of the cerebellum contains deep folds and appears spherical in its shape. It represented the dorsal side of metencephalon and surrounded the roof of IV ventricle.          The cerebellum consists of three parts spino cerebellum, cerebro cerebelluum and vestibulo cerebellum; and three lobes anterior lobe, posterior lobe and flocculonodular lobe. The corpus cerebellum (Vermis) consists of nine folds called cerebellar-folia (IX-I) and separated from each other by sulci. &nbsp

In this study azo dye was prepared by the reaction of m-phenylendidiazonium chloride with methyl salicylate, the resultant compound was used as a ligand for complex formation with Fe+2, Cu+2, Zn+2, Ni+2 and Co+2 ions. The prepared ligand was characterized by H1NMR, UV-Vis., And FTIR spectroscopy, CHN analysis, in addition the complexes were characterized by TGA, UV-Vis., FTIR and conductivity methods. The results indicate that the ligand chelated through phenoxy and carboxyl groups as a O4 quadra dentate ligand, the Co complex complet its hexagon coordination by bonding with chlorine and the complex wouid be electrolytic in opposite with rest complexes.

The current study was conducted on irrigational project called (Beat Zwena River), located in Jadedat- alshat, within the province of Dyala, which is divided from the right side of the Tigris River, the project significant environmental importance was passed in several agricultural areas estimated about 1600 acres, and it is also used for the purposes of irrigation and drinking. One of the major drawback for the current study is the almost lack data about the physiochemical parameter, in addition to measure (chlorophyll a and phyophtin of the River under investigation, in five locations for the period of October 2013 until June 2014. The range of studied properties was: 10.83 -38.75°C and 9.17 -28.5°C for air and water temperature,