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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

Computational Modeling of Reaction-Diffusion COVID-19 Model Having Isolated Compartment

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Computer Modeling in Engineering & Sciences 2023年第5期135卷 1719-1743页

作者： Muhammad Shoaib Arif Kamaleldin Abodayeh Asad Ejaz Department of Mathematics and Sciences College of Humanities and SciencesPrince Sultan UniversityRiyadh11586Saudi Arabia Department of Mathematics Air UniversityPAF Complex E-9Islamabad44000Pakistan

Cases of COVID-19 and its variant omicron are raised all across the *** most lethal form and effect of COVID-19 are the omicron version,which has been reported in tens of thousands of cases daily in numerous *** WHO(World health organization)records on 30 December 2021,the cases of COVID-19 were found to be maximum for which boarding individuals were found 1,524,266,active,recovered,and discharge were found to be 82,402 and 34,258,778,*** there were 160,989 active cases,33,614,434 cured cases,456,386 total deaths,and 605,885,769 total samples *** far,1,438,322,742 individuals have been *** coronavirus or COVID-19 is inciting panic for several *** is a new virus that has affected the whole *** have introduced certain ways to prevent the *** can lower the danger of infection by reducing the contact rate with other *** crowded places and social events withmany people reduces the chance of one being exposed to the *** deadly COVID-19 spreads *** is thought that the upcoming waves of this pandemicwill be evenmore *** have presented severalmathematical models to study the pandemic and predict future *** need of the hour is to restrict the mobility to control the infection from ***,separating affected individuals from healthy people is essential to control the *** consider the COVID-19 model in which the population is divided into five *** present model presents the population’s diffusion effects on all susceptible,exposed,infected,isolated,and recovered *** reproductive number,which has a key role in the infectious models,is *** equilibrium points and their stability is *** numerical simulations,finite difference(FD)schemes like nonstandard finite difference(nsfd),forward in time central in space(FTCS),and Crank Nicolson(CN)schemes are *** core characteristics

关键词： Reproductive number stability Routh Hurwitz criterion variational matrix nsfd scheme FTCS scheme Crank Nicolson scheme consistency

A Nonstandard Computational Investigation of SEIR Model with Fuzzy Transmission, Recovery and Death Rates

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Computers, Materials & Continua 2023年第11期77卷 2251-2269页

作者： Ahmed H.Msmali Fazal Dayan Muhammad Rafiq Nauman Ahmed Abdullah Ali H.Ahmadini Hassan A.Hamali Department of Mathematics College of ScienceJazan UniversityJazan45142Saudi Arabia Department of Mathematics School of ScienceUniversity of Management and TechnologyLahorePakistan Department of Mathematics Faculty of Science&TechnologyUniversity of Central PunjabLahorePakistan Department of Mathematics and Statistics University of LahoreLahorePakistan Department of Medical Laboratory Technology Faculty of Applied Medical SciencesJazan UniversityP.O.Box 1906Jazan45142Saudi Arabia

In this article,a Susceptible-Exposed-Infectious-Recovered(SEIR)epidemic model is *** equilibrium analysis and reproduction number are *** conventional models have made assumptions of homogeneity in disease transmission that contradict the actual ***,it is crucial to consider the heterogeneity of the transmission rate when modeling disease *** the heterogeneity of disease transmission mathematically can be achieved by incorporating fuzzy theory.A numerical scheme nonstandard,finite difference(nsfd)approach is developed for the studied model and the results of numerical simulations are *** of the constructed scheme are *** positivity,convergence and consistency of the developed technique are investigated using mathematical induction,Jacobean matrix and Taylor series expansions *** suggested scheme preserves all these essential characteristics of the disease dynamical *** numerical and simulation results reveal that the proposed nsfd method provides an adequate representation of the dynamics of the ***,the obtained method generates plausible predictions that can be used by regulators to support the decision-making process to design and develop control *** of the natural immunity on the infected class are studied which reveals that an increase in natural immunity can decrease the infection and vice versa.

关键词： Epidemic model fuzzy parameters nsfd scheme convergence positivity consistency

Computational Investigation of Hand Foot Mouth Disease Dynamics with Fuzziness

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Computers, Materials & Continua 2023年第5期75卷 4175-4189页

作者： Dumitru Baleanu Fazal Dayan Nauman Ahmed Muhammad Rafiq Ali Raza Muhammad Ozair Ahmad Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung406040Taiwan Department of Computer Science and Mathematics Lebanese American UniversityBeirutLebanon Department of Mathematics School of ScienceUniversity of Management and TechnologyLahore54000Pakistan Department of Mathematics and Statistics University of LahoreLahore54590Pakistan Department of Mathematics Faculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Near East University Mathematics Research CenterDepartment of MathematicsNear East Boulevard99138Nicosia/Mersin 10Turkey Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan

The first major outbreak of the severely complicated hand,foot and mouth disease(HFMD),primarily caused by enterovirus 71,was reported in Taiwan in *** surveillance is needed to assess the spread of *** parameters we use in mathematical models are usually classical mathematical parameters,called crisp parameters,which are taken for *** any biological or physical phenomenon is best explained by *** represent a realistic situation in any mathematical model,fuzzy parameters can be very *** articles have been published on how to control and prevent HFMD from the perspective of public health and statistical ***,few works use fuzzy theory in building models to *** this context,we examined anHFMD model with fuzzy parameters.A Non Standard Finite Difference(nsfd)scheme is developed to solve the *** developed technique retains essential properties such as positivity and dynamic *** simulations are presented to support the analytical *** convergence and consistency of the proposed method are also *** proposed method converges unconditionally while the many classical methods in the literature do not possess this *** this regard,our proposed method can be considered as a reliable tool for studying the dynamics of HFMD.

关键词： Hand foot mouth disease fuzzy parameters nsfd scheme convergence consistency

Bio-Inspired Numerical Analysis of COVID-19 with Fuzzy Parameters

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Computers, Materials & Continua 2022年第8期72卷 3213-3229页

作者： F.M.Allehiany Fazal Dayan F.F.Al-Harbi Nesreen Althobaiti Nauman Ahmed Muhammad Rafiq Ali Raza Mawahib Elamin Department of Mathematical Sciences College of Applied SciencesUmm Al-Qura UniversityMakkah21955Saudi Arabia Department of Mathematics and Statistics University of LahoreLahorePakistan Department of Mathematics School of ScienceUniversity of Management and TechnologyLahorePakistan Department of Physics College of SciencePrincess Nourah Bint Abdulrahman UniversityRiyadh11671Saudi Arabia Department of Mathematics and Statistics College of ScienceTaif UniversityTaif21944Saudi Arabia Department of Mathematics Faculty of SciencesUniversity of Central PunjabLahorePakistan Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan Department of Mathematics College of Science and ArtsQassim UniversityRiyadh Al KhabraSaudi Arabia

Fuzziness or uncertainties arise due to insufficient knowledge,experimental errors,operating conditions and parameters that provide inaccurate *** concepts of susceptible,infectious and recovered are uncertain due to the different degrees in susceptibility,infectivity and recovery among the individuals of the *** differences can arise,when the population groups under the consideration having distinct habits,customs and different age groups have different degrees of resistance,*** realistic models are needed which consider these different degrees of susceptibility infectivity and recovery of the *** this paper,a Susceptible,Infected and Recovered(SIR)epidemic model with fuzzy parameters is *** infection,recovery and death rates due to the disease are considered as fuzzy *** basic reproduction number and fuzzy equilibrium points have been derived for the studied *** is then solved numerically with three different techniques,forward Euler,Runge-Kutta fourth order method(RK-4)and the nonstandard finite difference(nsfd)methods *** nsfd technique becomes more efficient and reliable among the others and preserves all the essential features of a continuous dynamical system.

关键词： Fuzzy parameters SIR model nsfd scheme fuzzy equilibrium points fuzzy stability analysis

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