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Existence of Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function

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Applied Mathematics 2021年第4期12卷 311-321页

作者： alhussein mohamed College of Mathematics and Statistics Northwest Normal University Lanzhou China

In this article, by using a fixed point theorem, we study following fourth-order three-point BVP: where f ∈ C([0,1]×[0,+∞),[0,+∞)) α ∈ [0,6) and . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.

关键词： Fourth-Order Fourth-Point Boundary Value Problem Function Positive Solution Existence Fixed Point Greens Function

Global Bounded Solutions for the Keller-Segel Chemotaxis System with Singular Sensitivity

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Applied Mathematics 2020年第10期11卷 985-990页

作者： Khalid Ahmed Abbakar Omer Khalil alhussein mohamed Bechir Mahamat Abdoulaye Ali Abeer Alhadi College of Mathematics and Statistics Northwest Normal University Lanzhou China Department of Mathematics and Physics Faculty of Education University of Gadarif Gadarif Sudan College of Physics and Electronic Engineering Northwest Normal University Lanzhou China

In this paper, we consider the Neumann initial-boundary value problem for the Keller-Segel chemotaxis system with singular sensitivity (0.1) is considered in a bounded domain with smooth boundary, Ω ⊂Rn (n ≥ 1), where d1 > 0, d2 > 0 with parameter χ ∈ R. When d1 = d2 + χ, satisfying for all initial data 0 ≤ n0 ∈ C0 and 0 v0∈ W1,∞ (Ω), we prove that the problem possesses a unique global classical solution which is uniformly bounded in Ω × (0, ∞).

关键词： Keller-Segel System Chemotaxis Global Bounded Solution Singular Sensitivity

Stability Analysis and Hopf Bifurcation for ODE System of Predator-Prey Model with Mutual Interference

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Applied Mathematics 2021年第9期12卷 793-802页

作者： Khalid Ahmed Abbakar Yafei Yang alhussein mohamed Songchen Xia Mogahid Mamoon Abkar Omer Bushra Elfadil Hassan College of Mathematics and Statistics Northwest Normal University Lanzhou China Department of Mathematics and Physics Faculty of Education University of Gadarif Gadarif Sudan School of Mathematics and Statistics Northeast Normal University Changchun China Department of Mathematics School of Mathematics University of Witwatersrand Johannesburg South Africa

In this paper, the temporal and spatial patterns of a diffusive predator-prey model with mutual interference under homogeneous Neumann boundary conditions were studied. Specifically, first, taking the intrinsic growth rate of the predator as the parameter, we give a computational and theoretical analysis of Hopf bifurcation on the positive equilibrium for the ODE system. As well, we have discussed the conditions for determining the bifurcation direction and the stability of the bifurcating periodic solutions.

关键词： Predator-Prey Model Mutual Interference Hopf Bifurcation Functional Response

Uniqueness of Positive Radial Solutions for a Class of Semipositone Systems on the Exterior of a Ball

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Applied Mathematics 2021年第3期12卷 131-146页

作者： alhussein mohamed Khalid Ahmed Abbakar Abuzar Awad Omer Khalil Bechir Mahamat Acyl Abdoulaye Ali Youssouf Mohammed Mousa College of Mathematics and Statistics Northwest Normal University Lanzhou China Department of Mathematics and Physics Faculty of Education University of Gadarif Gadarif Sudan Department of Science College of Education Sudan University of Science and Technology Khartoum Sudan

In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP: , where Δu = div (∇u) and Δv = div (∇v) are the Laplacian of u, λ is a positive parameter, Ω = {x ∈ Rn : N > 2, |x| > r0, r0 > 0}, let i = [1,2] then Ki :[r0,∞] → (0,∞) is a continuous function such that limr→∞ ki(r) = 0 and is The external natural derivative, and : [0, ∞) → (0, ∞) is a continuous function. We discuss existence and multiplicity results for classes of f with a) fi > 0, b) fi fi = 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.

关键词： Elliptic System Positive Radial Solution Exterior Domains Fixed Point Index

Geophysical Evaluation for Evidence of Recharging the Pleistocene Aquifer at El-Nubariya Area, West Nile Delta, Egypt

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International Journal of Geosciences 2014年第3期5卷 324-340页

作者： Ahmed Khalil Khamis Mansour Taha Rabeh alhussein Basheer mohamed Abdel Zaher Kamal Ali National Research Institute of Astronomy and Geophysics Helwan Egypt Research Institute for Groundwater National Water Research Center Cairo Egypt

With ever increasing demands on water resources, Egypt is facing increasing water needs, demanded by a rapidly growing population, by higher standards of living and by an agricultural policys. West Nile Delta represents a new agricultural area where the reclaimed lands are irrigated with groundwater in addition to surface water. The evaluation of groundwater aquifers in West Nile Delta area requires information about the extension, depth and distribution and source of recharging these aquifers. In this work, an integrated study using geoelectric, geomagnetic, hydrogeologic and hydrochemistry investigations has been applied to evaluate groundwater aquifers and to delineate subsurface structures predominant in the basement rocks at El-Nubariya area, West Nile Delta, Egypt. Thirty-five Vertical Electrical Soundings (VES) have been applied to identify the subsurface geoelctric layers predominant in the study area. As well as a detailed land magnetic survey has been carried out along the study area using two automatic proton precession magnetometers with an accuracy of 1 nT. These surveys allowed us to establish the subsurface structures and their relation with the detected aquifers. The geoelectric results are illustrated along seven geoelectric profiles and correlated with the lithologic and hydrogeologic data of drilled wells. The third geoelectric layer represents the water saturated zone (aquifer) with thickness varies from 14 m to 58 m, increasing to east and southeast directions. The hydrchemisty anlysis shows that the salinity of the water aquifer ranges from 600 ppm in the southeast to 3900 ppm in the south. The major dominant dissolved salt is Nacl. In the east and southeast, the water type becomes more NaSO4 which refers to dissolution of gypsum in addition to fertilizers. The magnetic data have been analyzed using horizontal gradient and 3D magnetic modeling along the locations of geolectric profiles. The results indicate that the fault structures are trendin

关键词： Geoelectric Geomagnetic Aquifer Groundwater Hydrogeology

Effect of Health Education Program on Self-Efficacy and Functional Capacity of Patients with Coronary Artery Bypass Surgery in Khartoum State-Sudan, 2015-2019

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World Journal of Cardiovascular Surgery 2023年第12期13卷 167-180页

作者： mohamed Idriss Yahya Musa Egbal Abbashar Algamar Manal Elzein Musa Ismail Osama mohamed Elsanousi Amair Siddig alhussein Zeinab Abaker Ahmed Omer Abdalgabar Musa Hassan Assistant Professor in Medical-Surgical Nursing Department of Nursing Faculty of Applied Medical Sciences Buraydah College Buraydah KSA Associate professor in Pediatrics Nursing & Child Health Faculty of Applied Medical Sciences Buraydah College Buraydah KSA Assistant Professor in Obstetric & Gynecological Nursing Faculty of Applied Medical Sciences Buraydah College Buraydah KSA Associate Professor and HoD Department of Surgery Faculty of Medicine National Ribat University Khartoum Sudan Assistant Professor of Surgery Faculty of Medicine National Ribat University and a Cardiac Surgeon at Ahmed Qassim Hospital Khartoum Sudan Assistant Professor in Obstetric & Gynecological Nursing Faculty of Nursing Sciences Alneelain University Khartoum Sudan PhD Candidate Medical Surgical Nursing Hamad Medical Corporation Faculty of Nursing Science Qatar-Omdurman Islamic University Khartoum Sudan

Coronary heart disease is among the most prevalent and costly of all global health problems. Coronary artery bypass grafting (CABG) has been increasingly used since the 1960s. Coronary heart disease is a leading cause of death worldwide, including Sudan. Self-efficacy and functional capacity is a critical factor for quality of life in patients who has undergone CABG as well as for their caregivers from their families. Aim of the Study: To explore the effects of an educational program on self-efficacy and functional capacity of patients after CABG. 1) There will be no significant difference between the intervention group and control group concerning knowledge regarding Self-efficacy and functional capacity post CABG surgery. 2) The application of our educational program for the patients will enhance the patients with CABG surgery and improve knowledge about Self-efficacy and functional capacity post CABG surgery. 3) There are some socio demographic factors that affect the response to the educational program. Methods: This was a quasi-experimental, interventional and hospital-based study, including pre-test, a post-test and follow-up test, with a control group, conducted during the period from September 2014 to June 2019. Patients were recruited consecutively to the cases and control group using convenience sampling. The sample consisted of 76 patients;41 as cases and 35 as control group. The sample included those who had undergone CABG in Khartoum State. Relevant data were collected using a checklist to monitor the effect of a health education program on self-efficacy and functional capacity of the patients. Result: The results showed marked improvement in patients’ self-efficacy and functional capacity between pretest and posttest for the study group;p-value = (0.001) in the health status of cases in comparison to the control group. The indices were observed to be higher for patients who received a nursing educational program throughout the study period;p-value = (0

关键词： Education Program Self-Efficacy Functional Capacity Coronary Artery Bypass Surgery

Biliary fistula and late recurrence of liver hydatid cyst:Role of cystobiliary communication:A prospective multicenter study

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World Journal of Methodology 2023年第4期13卷 272-286页

作者： Tamer A A M Habeeb Mauro Podda Boris Tadic Vishal G Shelat Yaman Tokat mohamed Ibrahim Abo Alsaad Abd-Elfattah Kalmoush Mohammed Shaaban Nassar Fawzy Metwally Mustafa Mahmoud Hassib Morsi Badawy mohamed Sobhy Shaaban Tarek Zaghloul mohamed Mohammed Ibrahim El Sayed Henish Hamdi Elbelkasi Mahmoud Abdou Yassin Abdelshafy Mostafa Amr Ibrahim Waleed A-Abdelhady Tamermohamed Elshahidy mohamed Ibrahim Mansour Adel Mahmoud Moursi mohamed Abdallah Zaitoun EhabShehata Abd-Allah Ashraf Abdelmonem Elsayed Rasha S Elsayed Ahmed M Yehia Amr Abdelghani mohamed Negm Heba alhussein Abo-Alella Mostafa M Elaidy Department of General Surgery Faculty of Medicine Zagazig UniversitySharkia 44511Egypt Department of Surgical Science University of CagliariCagliari 09126Italy Clinic for Digestive Surgery–First Surgical Clinic University Clinical Centre of SerbiaBelgrade 11000Serbia Department of General Surgery Tan Tock Seng HospitalSingapore 018971Singapore Department of Liver Transplantation and Hepatobiliary Surgery IstanbulTurkeyInternational Liver Centerand Acibadem Hospital GroupIstanbul 34000Turkey Department of General Surgery Faculty of Medicine-Merit UniversitySohag 82511Egypt Department of General Surgery Faculty of MedicineAl-Azher UniversityCairo 11765Egypt Department of General Surgery Mataryia Teaching HospitalCairo 11765Egypt

BACKGROUND Hydatid cyst disease(HCD)is common in certain *** is associated with postoperative biliary fistula(POBF)and *** primary aim of this study was to identify whether occult cysto-biliary communication(CBC)can predict recurrent *** secondary aim was to assess the role of cystic fluid bilirubin and alkaline phosphatase(ALP)levels in predicting POBF and recurrent *** To identify whether occult CBC can predict recurrent *** secondary aim was to assess the role of cystic fluid bilirubin and ALP levels in predicting POBF and recurrent *** From September 2010 to September 2016,a prospective multicenter study was undertaken involving 244 patients with solitary primary superficial stage cystic echinococcosis 2 and cystic echinococcosis 3b HCD who underwent laparoscopic partial cystectomy with *** logistic regression analysis assessed independent factors determining biliary complications and *** There was a highly statistically significant association(P≤0.001)between cystic fluid biochemical indices and the development of biliary complications(of 16 patients with POBF,15 patients had high cyst fluid bilirubin and ALP levels),where patients with high bilirubin-ALP levels were 3405 times more likely to have biliary *** was a highly statistically significant association(P≤0.001)between biliary complications,biochemical indices,and the occurrence of recurrent HCD(of 30 patients with recurrent HCD,15 patients had high cyst fluid bilirubin and ALP;all 16 patients who had POBF later developed recurrent HCD),where patients who developed biliary complications and high bilirubin-ALP were 244.6 and 214 times more likely to have recurrent hydatid cysts,*** Occult CBC can predict recurrent *** cyst fluid bilirubin and ALP levels predicted POBF and recurrent HCD.

关键词： Cysto-biliary communication Echinococcus granulosus Hydatid disease recurrence Hydatid fluid analysis Laparoscopy