Emerging Trends in Social Networking Systems and Generation Gap with Neutrosophic Crisp Soft Mapping

This paper aims to introduce the novel concept of neutrosophic crisp soft set(NCSS),including various types of neutrosophic crisp soft sets(NCSSs)and their fundamental operations.We define NCS-mapping and its inverse NCS-mapping between two NCS-classes.We develop a robust mathematical modeling with the help of NCS-mapping to analyze the emerging trends in social networking systems(SNSs)for our various generations.We investigate the advantages,disadvantages,and natural aspects of SNSs for five generations.With the changing of the generations,it is analyzed that emerging trends and the benefits of SNSs are increasing day by day.The suggested modeling with NCS-mapping is applicable in solving various decision-making problems.

An Efficient Numerical Scheme for Biological Models in the Frame of Bernoulli Wavelets

This article considers three types of biological systems:the dengue fever disease model,the COVID-19 virus model,and the transmission of Tuberculosis model.The new technique of creating the integration matrix for the Bernoulli wavelets is applied.Also,the novel method proposed in this paper is called the Bernoulli wavelet collocation scheme(BWCM).All three models are in the form system of coupled ordinary differential equations without an exact solution.These systems are converted into a system of algebraic equations using the Bernoulli wavelet collocation scheme.The numerical wave distributions of these governing models are obtained by solving the algebraic equations via the Newton-Raphson method.The results obtained from the developed strategy are compared to several schemes such as the Runge Kutta method,and ND solver in mathematical software.The convergence analyses are discussed through theorems.The newly implemented Bernoulli wavelet method improves the accuracy and converges when it is compared with the existing methods in the literature.

Regarding Deeper Properties of the Fractional Order Kundu-Eckhaus Equation and Massive Thirring Model

In this paper,the fractional natural decomposition method(FNDM)is employed to find the solution for the Kundu-Eckhaus equation and coupled fractional differential equations describing the massive Thirring model.Themassive Thirring model consists of a system of two nonlinear complex differential equations,and it plays a dynamic role in quantum field theory.The fractional derivative is considered in the Caputo sense,and the projected algorithm is a graceful mixture of Adomian decomposition scheme with natural transform technique.In order to illustrate and validate the efficiency of the future technique,we analyzed projected phenomena in terms of fractional order.Moreover,the behaviour of the obtained solution has been captured for diverse fractional order.The obtained results elucidate that the projected technique is easy to implement and very effective to analyze the behaviour of complex nonlinear differential equations of fractional order arising in the connected areas of science and engineering.

Regarding on the Fractional Mathematical Model of Tumour Invasion and Metastasis

In this paper,we analyze the behaviour of solution for the system exemplifying model of tumour invasion and metastasis by the help of q-homotopy analysis transform method(q-HATM)with the fractional operator.The analyzed model consists of a system of three nonlinear differential equations elucidating the activation and the migratory response of the degradation of the matrix,tumour cells and production of degradative enzymes by the tumour cells.The considered method is graceful amalgamations of q-homotopy analysis technique with Laplace transform(LT),and Caputo–Fabrizio(CF)fractional operator is hired in the present study.By using the fixed point theory,existence and uniqueness are demonstrated.To validate and present the effectiveness of the considered algorithm,we analyzed the considered system in terms of fractional order with time and space.The error analysis of the considered scheme is illustrated.The variations with small change time with respect to achieved results are effectively captured in plots.The obtained results confirm that the considered method is very efficient and highly methodical to analyze the behaviors of the system of fractional order differential equations.

Meaning of an Ogive by Students of Diploma in Accountancy in an Institute of Higher Education

The study based on radical constructivism seeks to identify Semester Two Accounting Courses students’ meaning of ogive. Data for this study include verbal and non-verbal information gathered from three students of Semester Two Accounting Courses in clinical interview sessions. The research participants have identified four processes performed on the basic elements to produce an ogive. In addition, five categories of products used by research participants to describe the ogive were identified.

Design of a Computational Heuristic to Solve the Nonlinear Liénard Differential Model

In this study,the design of a computational heuristic based on the nonlinear Liénard model is presented using the efficiency of artificial neural networks(ANNs)along with the hybridization procedures of global and local search approaches.The global search genetic algorithm(GA)and local search sequential quadratic programming scheme(SQPS)are implemented to solve the nonlinear Liénard model.An objective function using the differential model and boundary conditions is designed and optimized by the hybrid computing strength of the GA-SQPS.The motivation of the ANN procedures along with GA-SQPS comes to present reliable,feasible and precise frameworks to tackle stiff and highly nonlinear differentialmodels.The designed procedures of ANNs along with GA-SQPS are applied for three highly nonlinear differential models.The achieved numerical outcomes on multiple trials using the designed procedures are compared to authenticate the correctness,viability and efficacy.Moreover,statistical performances based on different measures are also provided to check the reliability of the ANN along with GASQPS.

Introduction to the Special Issue on Recent Developments on Computational Biology-I

In modern time,experts started to use interdisciplinary properties with the development of technology and science.Thus,these disciplines provide more sophisticated properties of real-world problems.In this sense,some models need to be investigated by using revised and modified traditional methods.The first discipline is the applied sciences such as physics,engineering,mechanics,electricity,biology,economy and mathematical applications[1-5].In this stage,many methods[5-10]are developed and modified.To uncover the deep properties of problems is to use the main properties of such interdisciplinary properties.Furthermore,works conducted on such mathematical models including non-local operators,partial,ordinary and integer order have introduced a deeper investigation of problems for experts.By using technological tools,expertsmay observe more realistic and exact results of models.

Dynamical analysis and chaos control of a fractional-order Leslie-type predator-prey model with Caputo derivative

In this paper,the dynamical behaviors of a discrete-time fractional-order population model are considered.The stability analysis and the topological classification of the model at the fixed point have been investigated.It is shown that the model undergoes flip and Neimark-Sacker bifurcations around the co-existence fixed point by using the bifurcation and the normal form theory.These bifurcations lead to chaos when the parameter changes at critical point.In order to control chaotic behavior in the model result from Neimark-Sacker bifurcation,the OGY feedback method has been used.Furthermore,some numerical simulations,including bifurcation diagrams,phase portraits and maximum Lyapunov exponents of the presented model are plotted to support the correctness of the analytical results.The positive Lyapunov exponents demonstrate that chaotic behavior exists in the considered model.

A population-based follow-up study on gallstone disease among type 2 diabetics in Kinmen,Taiwan

瞄准：估计发生并且在 Kinmen 在类型 2 糖尿病患者之中为胆石疾病(GSD ) 冒因素的风险，台湾。方法：为 GSD 的一个屏蔽节目被采用了即时腹的超声在病人们有 fasted 至少八个小时以后，检验腹的区域的二位专家执行。屏蔽，它在 2001 被进行，包含了与类型 2 糖尿病诊断的 848 个病人。在有流行 GSD 的 63 个题目的排除以后，没有 GSD 的 377 个参加者为秒轮屏蔽在 2002 被邀请。281 的一个总数(74.5%) 使遭到是 re-examined。结果：在 281 类型之中没在首先屏蔽有 GSD 的 2 名糖尿病患者， 10 在 2002 开发了 GSD。发生每年是 3.56%(95% CI：1.78% 每 year-6.24% 每年) 。用一个考克斯回归模型，变老(RR = 1.07， 95% CI：1.00-1.14 ) ，腰圆周(RR = 1.12， 95% CI：1.01-1.29 ) ，并且中高音(RR = 1.13， 95%CI：1.01-1.26 ) 看起来显著地与 GSD 的开发被相关。结论：老年是为 GSD 的发展的一个已知的风险因素。我们那更大的腰圆周和提高的中高音铺平的学习表演也在 Kinmen 在类型 2 糖尿病患者之中与 GSD 的发展被联系。

A study of stability and bifurcation analysis in discrete-time predator—prey system involving the Allee effect

This paper deals with a discrete-time predator-prey system which is subject to an Allee effect on prey.We investigate the existence and uniqueness and find parametric conditions for local asymptotic stability of fixed points of the discrete dynamic system.Moreover,using bifurcation theory,it is shown that the system undergoes Neimark-Sacker bifurcation in a small neighborhood of the unique positive fixed point and an inv aria nt circle will appear.Then the direction of bifurcation is given.Furthermore,numerical analysis is provided to illustrate the theoretical discussions with the help of Matlab packages.Thus,the main theoretical results are supported with numerical simulations.

Modeling and stability analysis of the spread of novel coronavirus disease COVTD-19

Towards the end of 2019,the world witnessed the outbreak of Severe Acute Respiratory Syndrome Coronavirus-2(COVID-19),a new strain of coronavirus that was unidentified in humans previously.In this paper,a new fractional-order Susceptible-Exposed-Infected-Hospitalized-Recovered(SEIHR)model is formulated for COVID-19,where the population is infected due to human transmission.The fractional-order discrete version of the model is obtained by the process of discretization and the basic reproductive number is calculated with the next-generation matrix approach.All equilibrium points related to the disease transmission model are then computed.Further,sufficient conditions to investigate all possible equilibria of the model are established in terms of the basic reproduction number(local stability)and are supported with time series,phase portraits and bifurcation diagrams.Finally,numerical simulations are provided to demonstrate the theoretical findings.

Homogenization of Linear Parabolic Equations with a Certain Resonant Matching Between Rapid Spatial and Temporal Oscillations in Periodically Perforated Domains

In this article, we study homogenization of a parabolic linear problem governed by a coefficient matrix with rapid spatial and temporal oscillations in periodically perforated domains with homogeneous Neumann data on the boundary of the holes. We prove results adapted to the problem for characterization of multiscale limits for gradients and very weak multiscale convergence.

Potential of fungal thermostable alpha amylase enzyme isolated from Hot springs of Central Anatolia(Turkey)in wheat bread quality

Many industrial processes may quickly proceed with biotechnological and enzymatic support.Functional and production facilitator properties of enzymes have provided variable advantages for industry.Therefore,enzyme utilization has become inevitable for industry and supplied financial advantages in case of the high energy requirement process.In the study,the amylase enzymes were isolated from thermal spring sources,and the effect on bread quality was examined.Firstly,fungal amylases were isolated from thermal spring sources(29-98◦C)in various places around Turkey.After determining the functional properties of amylase enzymes,the most active enzyme was used in bread production to examine their effect on bread quality.The maximum alpha-amylase activity(38.6 U/mg)has been detected in Aspergillus niger G 2-1 isolate.When compared with the commercially available one,native alpha-amylase increased the bread volume.A significant difference(p<0.01)was found in the color properties and size of the bread between microbial produced in this study and commercially produced alpha-amylase.Five ppm alpha-amylase addition showed the optimum bread properties for dough processing.

Newly modified method and its application to the coupled Boussinesq equation in ocean engineering with its linear stability analysis

Investigating the dynamic characteristics of nonlinear models that appear in ocean science plays an important role in our lifetime.In this research,we study some features of the paired Boussinesq equation that appears for two-layered fluid flow in the shallow water waves.We extend the modified expansion function method(MEFM)to obtain abundant solutions,as well as to find new solutions.By using this newly modified method one can obtain novel and more analytic solutions comparing to MEFM.Also,numerical solutions via the Adomian decomposition scheme are discussed and favorable comparisons with analytical solutions have been done with an outstanding agreement.Besides,the instability modulation of the governing equations are explored through the linear stability analysis function.All new solutions satisfy the main coupled equation after they have been put into the governing equations.

Electrically controlled mRNA delivery using a polypyrrolegraphene oxide hybrid film to promote osteogenic differentiation of human mesenchymal stem cells

Direct messenger ribonucleic acid(mRNA)delivery to target cells or tissues has revolutionized the field of biotechnology.However,the applicability of regenerative medicine is limited by the technical difficulties of various mRNA-loaded nanocarriers.Herein,we report a new conductive hybrid film that could guide osteogenic differentiation of human adipose-derived mesenchymal stem cells(hADMSCs)via electrically controlled mRNA delivery.To find optimal electrical conductivity and mRNAloading capacity,the polypyrrole-graphene oxide(PPy-GO)hybrid film was electropolymerized on indium tin oxide substrates.We found that the fluorescein sodium salt,a molecule partially mimicking the physical and chemical properties of mRNAs,can be effectively absorbed and released by electrical stimulation(ES).The hADMSCs cultivated on the PPy-GO hybrid film loaded with pre-osteogenic mRNAs showed the highest osteogenic differentiation under electrical stimulation.This platform can load various types of RNAs thus highly promising as a new nucleic acid delivery tool for the development of stem cell-based therapeutics.