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Saddle Point Optimality Criteria of Interval Valued Non-Linear Programming Problem

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Computer Systems Science & engineering 2021年第9期38卷 351-364页

作者： Md Sadikur Rahman emad e.mahmoud Ali Akbar Shaikh Abdel-Haleem Abdel-Aty Asoke Kumar Bhunia Department of Mathematics The University of BurdwanBurdwan713104India Department of Mathematics and Statistics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia Department of Physics College of SciencesUniversity of BishaP.O.Box 344Bisha61922Saudi Arabia Physics Department Faculty of ScienceAl-Azhar UniversityAssiut71524Egypt

The present paper aims to develop the Kuhn-Tucker and Fritz John criteria for saddle point optimality of interval-valued nonlinear programming *** achieve the study objective,we have proposed the definition of minimizer and maximizer of an interval-valued non-linear programming ***,we have introduced the interval-valued Fritz-John and Kuhn Tucker saddle point *** that,we have established both the necessary and sufficient optimality conditions of an interval-valued non-linear minimization ***,we have shown that both the saddle point conditions(Fritz-John and Kuhn-Tucker)are sufficient without any convexity *** with the convexity requirements,we have established that these saddle point optimality criteria are the necessary conditions for optimality of an interval-valued non-linear programming with real-valued ***,all the results are derived with the help of interval order ***,we illustrate all the results with the help of a numerical example.

关键词： Convexity of interval valued function extended Fritz-John theorem Interval order relation Karlin’s constraint saddle point optimality

examination of Pine Wilt epidemic Model through efficient Algorithm

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Computers, Materials & Continua 2022年第6期71卷 5293-5310页

作者： Ali Raza emad e.mahmoud A.M.Al-Bugami Dumitru Baleanu Muhammad Rafiq Muhammad Mohsin Muneerah Al Nuwairan Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan Department of Mathematics College of ScienceTaif UniversityTaif21944Saudi Arabia Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung40402Taiwan Department of Mathematics Faculty of SciencesUniversity of Central PunjabLahore54600Pakistan Department of Mathematics Technische Universitat Chemnitz6209111Germany Department of Mathematics and Statistics King Faisal UniversityAl Ahsa31982Saudi Arabia

Pine wilt is a dramatic disease that kills infected trees within a few weeks to a few *** cause is the pathogen Pinewood *** plant-parasitic nematodes are attached to plant roots,but pinewood nematodes are found in the tops of *** kill the tree by feeding the cells around the resin *** modeling of a pine wilt disease is based on six compartments,including three for plants(susceptible trees,exposed trees,and infected trees)and the other for the beetles(susceptible beetles,exposed beetles,and infected beetles).The deterministic modeling,along with subpopulations,is based on Law of mass *** stability of the model along with equilibria is studied *** authentication of analytical results is examined through well-known computer methods like Non-standard finite difference(NSFD)and the model’s feasible properties(positivity,boundedness,and dynamical consistency).In the end,comparison analysis shows the effectiveness of the NSFD algorithm.

关键词： Pine wilt disease modeling NSFD algorithm linearization of NSFD algorithm results

Modeling of Computer Virus Propagation with Fuzzy Parameters

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Computers, Materials & Continua 2023年第3期74卷 5663-5678页

作者： Reemah M.Alhebshi Nauman Ahmed Dumitru Baleanu Umbreen Fatima Fazal Dayan Muhammad Rafiq Ali Raza Muhammad Ozair Ahmad emad e.mahmoud Computer Science Department Faculty of Computing and Information TechnologyKing Abdulaziz UniversityJeddahSaudi Arabia Department of Mathematics and Statistics University of LahoreLahore54590Pakistan Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung406040TaiwanChina Institute of Space Sciences Magurele-Bucharest077125Romania Department of Computer Science University of LahoreLahore54590Pakistan Department of Mathematics School of ScienceUniversity of Management and TechnologyLahore54000Pakistan Department of Mathematics Faculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Mathematics Near East University TRNCMersin10Turkey Department of Mathematics Government Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore5400Pakistan Department of Mathematics and Statistics College of ScienceTaif UniversityP O Box11099Taif21944Saudi Arabia

Typically,a computer has infectivity as soon as it is *** is a reality that no antivirus programming can identify and eliminate all kinds of viruses,suggesting that infections would persevere on the *** understand the dynamics of the virus propagation in a better way,a computer virus spread model with fuzzy parameters is presented in this *** is assumed that all infected computers do not have the same contribution to the virus transmission process and each computer has a different degree of infectivity,which depends on the quantity of *** this,the parametersβandγbeing functions of the computer virus load,are considered fuzzy *** fuzzy theory helps us understand the spread of computer viruses more realistically as these parameters have fixed values in classical *** essential features of the model,like reproduction number and equilibrium analysis,are discussed in fuzzy ***,with fuzziness,two numerical methods,the forward euler technique,and a nonstandard finite difference(NSFD)scheme,respectively,are developed and *** the evidence of the numerical simulations,the proposed NSFD method preserves the main features of the dynamic *** can be considered a reliable tool to predict such types of solutions.

关键词： SIR model fuzzy parameters computer virus NSFD scheme stability

Optimization of Coronavirus Pandemic Model Through Artificial Intelligence

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Computers, Materials & Continua 2023年第3期74卷 6807-6822页

作者： Manal M.Alqarni Arooj Nasir Dumitru Baleanu Ali Raza Tahir Nawaz Cheema Nauman Ahmed Muhammad Rafiq Umbreen Fatima emad e.mahmoud Department of Mathematics College of SciencesKing Khalid UniversityAbha61413Saudi Arabia Baqai Medical University Karachi75340Pakistan Shalamar Medical and Dental College Lahore54000Pakistan Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung40402TaiwanChina Institute of Space Sciences Magurele-Bucharest077125Romania Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan Department of Mathematics University of GujratGujrat52200Pakistan Department of Mathematics and Statistics The University of LahoreLahore54590Pakistan Department of Mathematics Faculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Computer Science University of LahoreLahore54590Pakistan Department of Mathematics and Statistics College of ScienceTaif UniversityP.O.Box11099Taif21944Saudi Arabia

Artificial intelligence is demonstrated by machines,unlike the natural intelligence displayed by animals,including *** intelligence research has been defined as the field of study of intelligent agents,which refers to any system that perceives its environment and takes actions that maximize its chance of achieving its *** techniques of intelligent computing solve many applications of mathematical *** researchworkwas designed via a particularmethod of artificial neural networks to solve the mathematical model of *** representation of the mathematical model is made via systems of nonlinear ordinary differential *** differential equations are established by collecting the susceptible,the exposed,the symptomatic,super spreaders,infection with asymptomatic,hospitalized,recovery,and fatality *** generation of the coronavirus model’s dataset is exploited by the strength of the explicit Runge Kutta method for different countries like India,Pakistan,Italy,and many *** generated dataset is approximately used for training,validation,and testing processes for each cyclic update in Bayesian Regularization Backpropagation for the numerical treatment of the dynamics of the desired *** performance and effectiveness of the designed methodology are checked through mean squared error,error histograms,numerical solutions,absolute error,and regression analysis.

关键词： Coronavirus model artificial techniques analysis

New Trends in the Modeling of Diseases Through Computational Techniques

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Computer Systems Science & engineering 2023年第6期45卷 2935-2951页

作者： Nesreen Althobaiti Ali Raza Arooj Nasir Jan Awrejcewicz Muhammad Rafiq Nauman Ahmed Witold Pawłowski Muhammad Jawaz emad e.mahmoud Department of Mathematics and Statistics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan Baqai Medical University Karachi75340Pakistan Shalamar Medical and Dental College Lahore54000Pakistan Department of Automation Biomechanics and MechatronicsLodz University of Technology1/15 Stefanowskiego St.90-924LodzPoland Department of Mathematics Faculty of Sciences and TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Mathematics and Statistics University of LahoreLahore54590Pakistan Institute of Machine Tools and Production engineering Lodz University of Technology1/15 Stefanowskiego St.90-537LodzPoland

The computational techniques are a set of novel problem-solving methodologies that have attracted wider attention for their excellent *** handling strategies of real-world problems are artificial neural networks(ANN),evolutionary computing(eC),and many *** estimated fifty thousand to ninety thousand new leishmaniasis cases occur annually,with only 25%to 45%reported to the World Health Organization(WHO).It remains one of the top parasitic diseases with outbreak and mortality *** 2020,more than ninety percent of new cases reported to World Health Organization(WHO)occurred in ten countries:Brazil,China,ethiopia,eritrea,India,Kenya,Somalia,South Sudan,Sudan,and *** transmission of visceral leishmaniasis is studied dynamically and *** study included positivity,boundedness,equilibria,reproduction number,and local stability of the model in the dynamical *** detailed methods like Runge Kutta and euler depend on time steps and violate the physical relevance of the *** produce negative and unbounded results,so in disease dynamics,such developments have no biological significance;in other words,these results are *** the implicit nonstandard finite difference method does not depend on time step,positive,bounded,dynamic and *** the computational techniques and their results were compared using computer simulations.

关键词： Real-world problem differential equations computational techniques analysis

New Trends in Fuzzy Modeling Through Numerical Techniques

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Computers, Materials & Continua 2023年第3期74卷 6371-6388页

作者： M.M.Alqarni Muhammad Rafiq Fazal Dayan Jan Awrejcewicz Nauman Ahmed Ali Raza Muhammad Ozair Ahmad Witold Pawłowski emad e.mahmoud Department of Mathematics College of SciencesKing Khalid UniversityAbha61413Saudi Arabia Department of Mathematics Faculty of Sciences and TechnologyUniversity of Central PunjabLahorePakistan Department of Mathematics School of ScienceUniversity of Management and TechnologyLahorePakistan Department of Automation Biomechanics and MechatronicsLodz University of Technology1/15 Stefanowskiego St.90-924LodzPoland Department of Mathematics and Statistics University of LahoreLahorePakistan Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan Institute of Machine Tools and Production engineering Lodz University of TechnologyPoland Department of Mathematics College of ScienceTaif UniversityP.O.Box11099Taif21944Saudi Arabia

Amoebiasis is a parasitic intestinal infection caused by the highly pathogenic amoeba entamoeba *** is spread through person-toperson contact or by eating or drinking food or water contaminated with *** transmission rate depends on the number of cysts present in the *** traditional models assumed a homogeneous and contradictory transmission with *** heterogeneity of its transmission rate is a significant factor when modeling disease *** heterogeneity of disease transmission can be described mathematically by introducing fuzzy *** this context,a fuzzy SeIR Amoebiasis disease model is considered in this *** equilibrium analysis and reproductive number are studied with *** numerical schemes forward euler method and a nonstandard finite difference(NSFD)approach,are developed for the learned model,and the results of numerical simulations are *** numerical and simulation results reveal that the proposed NSFD method provides an adequate representation of the dynamics of the disease despite the uncertainty and ***,the obtained method generates plausible predictions that regulators can use to support decision-making to design and develop control strategies.

关键词： epidemic model fuzzy parameters amoebiasis NSFD scheme convergence

Numerical Analysis of Bacterial Meningitis Stochastic Delayed epidemic Model through Computational Methods

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Computer Modeling in engineering & Sciences 2024年第10期141卷 311-329页

作者： Umar Shafique Mohamed Mahyoub Al-Shamiri Ali Raza emad Fadhal Muhammad Rafiq Nauman Ahmed Department of Mathematics National College of Business Administration and EconomicsLahore54660Pakistan Department of Mathematics Applied CollegeMahayl AssirKing Khalid UniversityAbha62529Saudi Arabia Department of Physical Sciences The University of ChenabGujrat50700Pakistan Department of Mathematics&Statistics College of ScienceKing Faisal UniversityP.O.Box 400Al-Ahsa31982Saudi Arabia Department of Computer Science and Mathematics Lebanese American UniversityBeirut1102-2801Lebanon Department of Mathematics Faculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Mathematics and Statistics University of LahoreLahore54000Pakistan

Based on theWorld Health Organization(WHO),Meningitis is a severe infection of the meninges,the membranes covering the brain and spinal *** is a devastating disease and remains a significant public health *** study investigates a bacterial meningitis model through deterministic and stochastic ***-compartment population dynamics explain the concept,particularly the susceptible population,carrier,infected,and *** model predicts the nonnegative equilibrium points and reproduction number,i.e.,the Meningitis-Free equilibrium(MFe),and Meningitis-existing equilibrium(Mee).For the stochastic version of the existing deterministicmodel,the twomethodologies studied are transition probabilities and non-parametric ***,positivity,boundedness,extinction,and disease persistence are studiedrigorouslywiththe helpofwell-known *** and nonstandard techniques such as eulerMaruyama,stochastic euler,stochastic Runge Kutta,and stochastic nonstandard finite difference in the sense of delay have been presented for computational analysis of the stochastic ***,standard methods fail to restore the biological properties of the model,so the stochastic nonstandard finite difference approximation is offered as an efficient,low-cost,and independent of time step *** addition,the convergence,local,and global stability around the equilibria of the nonstandard computational method is studied by assuming the perturbation effect is *** simulations and comparison of the methods are presented to support the theoretical results and for the best visualization of results.

关键词： Bacterial Meningitis disease stochastic delayed model stability analysis extinction and persistence computational methods

Storylines of family medicine Ⅸ:people and places—diverse populations and locations of care

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Family Medicine and Community Health 2024年第S3期12卷 79-88页

作者： William B Ventres Leslie A Stone emad R Abou-Arab Julio Meza David S Buck Jerome W Crowder Jennifer Y C edgoose Alexander Brown ellen J Plumb Amber K Norris Jay J Allen Lauren e Giammar John e Wood Scott M Dickson G Austin Brown Family and Preventive Medicine University of Arkansas for Medical Sciences College of MedicineLittle RockArkansasUSA Family Medicine University of Michigan Medical SchoolAnn ArborMichiganUSA Family Medicine University of California Los AngelesDavid Geffen School of MedicineLos AngelesCaliforniaUSA Community Medicine University of HoustonTilman J Fertitta Family College of MedicineHoustonTexasUSA Social and Behavioral Sciences University of HoustonTilman J Fertitta Family College of MedicineHoustonTexasUSA Family Medicine and Community Health University of Wisconsin-Madison School of Medicine and Public HealthMadisonWisconsinUSA NH Dartmouth Family Medicine Residency ConcordNew HampshireUSA San Francisco VA Medical Center San FranciscoCaliforniaUSA Duluth Family Medicine Residency Program University of Minnesota Medical School Duluth CampusDuluthMinnesotaUSA UAMS Northeast Regional Campus Family Medicine Residency Program JonesboroArkansasUSA Cascades east Family Medicine Residency Program Oregon Health&Science University School of MedicineKlamath FallsOregonUSA

Storylines of Family Medicine is a 12-part series of thematically linked mini-essays with accompanying illustrations that explore the many dimensions of family medicine as interpreted by individual family physicians and medical educators in the USA and elsewhere around the ***‘Ⅸ:people and places—diverse populations and locations of care’,authors address the following themes:‘LGBTQIA+health in family medicine’,‘A family medicine approach to substance use disorders’,‘Shameless medicine for people experiencing homelessness’,“Difficult”encounters—finding the person behind the patient’,‘Attending to patients with medically unexplained symptoms’,‘Making house calls and home visits’,‘Family physicians in the procedure room’,‘Robust rural family medicine’and‘Full-spectrum family medicine’.May readers appreciate the breadth of family medicine in these essays.

关键词： illustration family dimensions

Stereotactic radiosurgery for haemorrhagic cerebral cavernous malformation:a multi-institutional,retrospective study

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Stroke & Vascular Neurology 2024年第3期9卷 221-229,I0130,I0131页

作者： Chloe Dumot Georgios Mantziaris Sam Dayawansa Zhiyuan Xu Stylianos Pikis Selcuk Peker Yavuz Samanci Gokce D Ardor Ahmed M Nabeel Wael A Reda Sameh R Tawadros Khaled Abdelkarim Amr M N el-Shehaby Reem M emad eldin Ahmed H elazzazi Nuria Martínez Moreno Roberto MartínezÁlvarez Roman Liscak Jaromir May David Mathieu Jean-Nicolas Tourigny Manjul Tripathi Akshay Rajput Narendra Kumar Rupinder Kaur Piero Picozzi Andrea Franzini Herwin Speckter Wenceslao Hernandez Anderson Brito Ronald e Warnick Juan Alzate Douglas Kondziolka Greg N Bowden Samir Patel Jason Sheehan Department of Neurological Surgery Hospices Civils de LyonLyonFrance Department of Neurological Surgery University of VirginiaCharlottesvilleVirginiaUSA Department of Neurosurgery Koc University School of MedicineIstanbulTurkey Gamma-knife Center Nasser institute HospitalCairoEgypt Neurosurgery Department Benha UniversityBenhaEgypt Departments of Neurosurgery Ain Shams UniversityCairoEgypt Department of Clinical Oncology Ain Shams UniversityCairoEgypt Department of Radiation Oncology National Cancer InstituteCairo UniversityGizaEgypt Faculty of Medicine Extended Modular ProgramAin Shams UniversityCairoEgypt Department of Radiosurgery Rúber Internacional HospitalMadridSpain Department of Stereotactic and Radiation Neurosurgery Na Homolce HospitalPragueCzech Republic Neurosurgery Centre de recherche du CHUSUniversitéde SherbrookeSherbrookeQuebecCanada Neurosurgery PGIMERChandigarhChandigarhIndia Radiation Therapy PGIMERChandigarhChandigarhIndia Neurosurgery IRCCS Istituto Clinico HumanitasRozzanoMilanItaly Dominican Gamma Knife Center and Radiology Department CEDIMATSanto DomingoDominican Republic Gamma Knife Center Mayfield ClinicThe Jewish Hospital-Mercy HealthCincinnatiOhioUSA Neurosurgery NYU Langone HealthNew YorkNew YorkUSA Neurosurgery University of AlbertaEdmontonAlbertaCanada Division of Radiation Oncology Department of OncologyUniversity of AlbertaEdmontonAlbertaCanada

Background Cerebral cavernous malformations(CCMs)frequently manifest with *** radiosurgery(SRS)has been employed for CCM not suitable for *** effect on reducing haemorrhage risk is still *** aim of this study was to expand on the safety and efficacy of SRS for haemorrhagic *** This retrospective multicentric study included CCM with at least one haemorrhage treated with single-session *** annual haemorrhagic rate(AHR)was calculated before and after *** event analysis and Cox regression were used to evaluate factors associated with *** radiation effects(ARes)and occurrence of new neurological deficits were *** The study included 381 patients (median age:37.5 years(Q1–Q3:25.8–51.9))with 414 *** AHR from diagnosis to SRS excluding the first haemorrhage was 11.08 per 100 CCM-years and was reduced to 2.7 per 100 CCM-years after *** recurrent event analysis,SRS,HR 0.27(95%CI 0.17 to 0.44),ped with a decreased risk of haemorrhage,and the presence of developmental venous anomaly(DVA)with an increased risk,HR 1.60(95%CI 1.07 to 2.40),p=*** cumulative risk of first haemorrhage after SRS was 9.4%(95%CI 6%to 12.6%)at 5 years and 15.6%(95%CI%9 to 21.8%)at 10 *** doses>13 Gy,HR 2.27(95%CI 1.20 to 4.32),p=0.012 and the presence of DVA,HR 2.08(95%CI 1.00 to 4.31),p=0.049 were factors associated with higher probability of post-SRS ***-SRS haemorrhage was symptomatic in 22 out of 381(5.8%)patients,presenting with transient(15/381)or permanent(7/381)neurological *** occurred in 11.1%(46/414)CCM and was responsible for transient neurological deficit in 3.9%(15/381)of the patients and permanent deficit in 1.1%(4/381)of the *** doses>13 Gy and CCM volume>0.7 cc were associated with increased risk of ARe.

关键词： doses haemorrhagic diagnosis