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Detection and defending the XSS attack using novel hybrid stacking ensemble learning-based DNN approach

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Digital Communications and Networks 2024年第3期10卷 716-727页

作者： Muralitharan Krishnan Yongdo Lim Seethalakshmi Perumal Gayathri Palanisamy IMS Sungkyunkwan UniversitySuwon16419South Korea department of mathematics Sungkyunkwan UniversitySuwon16419South Korea department of Information Technology Madras Institute of TechnologyChennaiIndia department of mathematics PSG College of Arts and ScienceTamilnaduIndia

Existing web-based security applications have failed in many situations due to the great intelligence of *** web applications,Cross-Site Scripting(XSS)is one of the dangerous assaults experienced while modifying an organization's or user's *** avoid these security challenges,this article proposes a novel,all-encompassing combination of machine learning(NB,SVM,k-NN)and deep learning(RNN,CNN,LSTM)frameworks for detecting and defending against XSS attacks with high accuracy and *** on the representation,a novel idea for merging stacking ensemble with web applications,termed“hybrid stacking”,is *** order to implement the aforementioned methods,four distinct datasets,each of which contains both safe and unsafe content,are *** hybrid detection method can adaptively identify the attacks from the URL,and the defense mechanism inherits the advantages of URL encoding with dictionary-based mapping to improve prediction accuracy,accelerate the training process,and effectively remove the unsafe JScript/JavaScript keywords from the *** simulation results show that the proposed hybrid model is more efficient than the existing detection *** produces more than 99.5%accurate XSS attack classification results(accuracy,precision,recall,f1_score,and Receiver Operating Characteristic(ROC))and is highly resistant to XSS *** order to ensure the security of the server's information,the proposed hybrid approach is demonstrated in a real-time environment.

关键词： Machine learning Deep neural networks Classification Stacking ensemble XSS attack URL encoding JScript/JavaScript Web security

On the convergence of tracking differentiator with multiple stochastic disturbances

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Science China(Information Sciences) 2024年第2期67卷 157-169页

作者： Zehao WU Huacheng ZHOU Baozhu GUO Feiqi DENG School of mathematics and Big Data Foshan University School of mathematics and Statistics Central South University Academy of mathematics and Systems Science Chinese Academy of Sciences Systems Engineering Institute South China University of Technology

This paper investigates the convergence, noise-tolerance, and filtering performance of a tracking differentiator in the presence of multiple stochastic disturbances for the first time. We consider a general case wherein the input signal is corrupted by additive colored noise, and the tracking differentiator is disturbed by additive colored noise and white noise. The tracking differentiator is shown to track the input signal and its generalized derivatives in the mean square sense. Further, the almost sure convergence can be achieved when the stochastic noise affecting the input signal is vanishing. Herein, numerical simulations are performed to validate the theoretical results.

关键词： tracking differentiator convergence noise-tolerance filtering performance multiple stochastic disturbances

Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model

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Science China mathematics 2024年第9期67卷 2171-2194页

作者： Chuanjun Chen Xiaofeng Yang School of mathematics and Information Sciences Yantai UniversityYantai 264005China department of mathematics University of South CarolinaColumbiaSC 29208USA

In this paper,an efficient fully-decoupled and fully-discrete numerical scheme with second-order temporal accuracy is developed to solve the incompressible hydrodynamically coupled Cahn-Hilliard model for simulating the two-phase fluid flow *** scheme is developed by combining the finite element method for spatial discretization and several effective time marching approaches,including the pressure-correction projection method for dealing with fluid equations and the explicit-invariant energy quadratization(explicit-IEQ)approach for dealing with coupled nonlinear *** obtained scheme is very efficient since it only needs to solve several decoupled,linear elliptic equations with constant coefficients at each time *** also strictly prove the solvability and unconditional energy stability of the scheme,and verify the accuracy and stability of the scheme through plenty of numerical examples.

关键词： finite element method decoupled scheme two-phase fow Cahn-Hilliard equation Navier-Stokes equations energystability

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Mathematical assessment of the roles of age heterogeneity and vaccination on the dynamics and control of SARS-CoV-2

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Infectious Disease Modelling 2024年第3期9卷 828-874页

作者： Binod Pant Abba B.Gumel department of mathematics University of MarylandCollege ParkMD20742USA department of mathematics and Applied mathematics University of PretoriaPretoria0002South Africa

The COVID-19 pandemic,caused by SARS-CoV-2,disproportionately affected certain segments of society,particularly the elderly population(which suffered the brunt of the burden of the pandemic in terms of severity of the disease,hospitalization,and death).This study presents a generalized multigroup model,with m heterogeneous sub-populations,to assess the population-level impact of age heterogeneity and vaccination on the transmission dynamics and control of the SARS-CoV-2 pandemic in the United *** analysis of the model for the homogeneous case(i.e.,the model with m=1)reveal that its disease-free equilibrium is globally-asymptotically stable for two special cases(with perfect vaccine efficacy or negligible disease-induced mortality)whenever the associated reproduction number is less than *** model has a unique and globally-asymptotically stable endemic equilibrium,for special a case,when the associated reproduction threshold exceeds *** homogeneous model was fitted using the observed cumulative mortality data for the United States during three distinct waves(Waves A(October 17,2020 to April 5,2021),B(July 9,2021 to November 7,2021)and C(January 1,2022 to May 7,2022))chosen to align with time periods when the Alpha,Delta and Omicron were,respectively,the predominant variants in the United *** calibrated model was used to derive a theoretical expression for achieving vaccine-derived herd immunity(needed to eliminate the disease in the United States).It was shown that,using the one-group homogeneous model,vaccine-derived herd immunity is not attainable during Wave C of the pandemic in the United States,regardless of the coverage level of the fully-vaccinated *** sensitivity analysis was carried out to determine the parameters of the model that have the most influence on the disease dynamics and *** analyses reveal that control and mitigation strategies that may be very effective during one wave may not be so very effecti

关键词： COVID-19 SARS-CoV-2 Heterogeneous model Reproduction number Herd immunity

Exponential Time Differencing Method for a Reaction-Diffusion System with Free Boundary

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Communications on Applied mathematics and Computation 2024年第1期6卷 354-371页

作者： Shuang Liu Xinfeng Liu department of mathematics University of CaliforniaSan Diego9500 Gilman DriveLa JollaCalifornia92093-0112USA department of mathematics University of South CarolinaColumbiaSouth Carolina29208USA

For reaction-diffusion equations in irregular domains with moving boundaries,the numerical stability constraints from the reaction and diffusion terms often require very restricted time step sizes,while complex geometries may lead to difficulties in the accuracy when discretizing the high-order derivatives on grid points near the *** is very challenging to design numerical methods that can efficiently and accurately handle both *** an implicit scheme may be able to remove the stability constraints on the time step,however,it usually requires solving a large global system of nonlinear equations for each time step,and the computational cost could be *** factor(IF)or exponential time differencing(ETD)methods are one of the popular methods for temporal partial differential equations(PDEs)among many other *** our paper,we couple ETD methods with an embedded boundary method to solve a system of reaction-diffusion equations with complex *** particular,we rewrite all ETD schemes into a linear combination of specificФ-functions and apply one state-of-the-art algorithm to compute the matrix-vector multiplications,which offers significant computational advantages with adaptive Krylov *** addition,we extend this method by incorporating the level set method to solve the free boundary *** accuracy,stability,and efficiency of the developed method are demonstrated by numerical examples.

关键词： Reaction diffusion equations Free boundary Integrating factor method Level set method

Centered Waves for the Two-dimensional Pseudo-Steady van der Waals Gas Satisfied Maxwell's Law Around a Sharp Corner

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Chinese Annals of mathematics,Series B 2024年第4期45卷 537-554页

作者： Shuangrong LI Wancheng SHENG department of mathematics Shanghai University Shanghai 200444 China department of mathematics Zhejiang University of Science and Technology department of mathematics Newtouch Center for Mathematics of Shanghai University Shanghai University

In this paper, the authors study the centered waves for the two-dimensional(2D for short) pseudo-steady supersonic flow with van der Waals gas satisfied Maxwell's law around a sharp corner. In view of the initial value of the specific volume and the properties of van der Waals gas, the centered waves at the sharp corner are constructed by classification. It is shown that the supersonic incoming flow turns the sharp corner by a centered simple wave or a centered simple wave with right-contact discontinuity or a composite wave(jump-fan, fan-jump or fan-jump-fan), or a combination of waves and constant state. Moreover, the critical angle of the sharp corner corresponding to the appearance of the vacuum phenomenon is obtained.

关键词： Centered simple wave Composite wave Two-dimensional Euler equations Van der Waals gas

A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem

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Communications in Theoretical Physics 2024年第7期76卷 1-8页

作者： Wen-Xiu Ma department of mathematics Zhejiang Normal UniversityJinhua 321004China department of mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia department of mathematics and Statistics University of South Florida TampaFL 33620-5700United States of America Material Science Innovation and Modelling Department of Mathematical SciencesNorth-West UniversityMafikeng CampusMmabatho 2735South Africa

This paper aims to propose a fourth-order matrix spectral problem involving four potentials and generate an associated Liouville integrable hierarchy via the zero curvature formulation.A bi-Hamiltonian formulation is furnished by applying the trace identity and a recursion operator is explicitly worked out,which exhibits the Liouville integrability of each model in the resulting *** specific examples,consisting of novel generalized combined nonlinear Schrodinger equations and modified Korteweg-de Vries equations,are given.

关键词： integrable hierarchy Hamiltonian structure zero curvature equation Lax pair matrix spectral problem

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THE GLOBAL EXISTENCE AND ANALYTICITY OF A MILD SOLUTION TO THE 3D REGULARIZED MHD EQUATIONS

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Acta Mathematica Scientia 2024年第3期44卷 973-983页

作者：肖存涛邱华姚正安 School of mathematics and Statistics Guangdong University of TechnologyGuangzhou510090China department of mathematics South China Agricultural UniversityGuangzhou510642China School of mathematics Sun Yat-sen UniversityGuangzhou510275China

In this paper,we study the three-dimensional regularized MHD equations with fractional Laplacians in the dissipative and diffusive *** establish the global existence of mild solutions to this system with small initial... 详细信息

关键词： regularized MHD equations fractional Laplacian global well-posedness analyticity decay rate

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NOVEL INTEGRABLE HAMILTONIAN HIERARCHIES WITH SIX POTENTIALS

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Acta Mathematica Scientia 2024年第6期44卷 2498-2508页

作者：马文秀 department of mathematics Zhejiang Normal University department of mathematics King Abdulaziz University department of mathematics and Statistics University of South Florida Material Science Innovation and Modelling Department of Mathematical SciencesNorth-West UniversityMafikeng Campus

This paper aims to construct six-component integrable hierarchies from a kind of matrix spectral problems within the zero curvature *** Hamiltonian formulations are furnished by the trace identity,which guarantee the commuting property of infinitely many symmetries and conserved Hamiltonian *** examples of the resulting integrable equations of second and third orders are explicitly computed.

关键词： 35Q55 37K15 37K40 integrable hierarchy matrix spectral problem mKdV equations NLS equations zero curvature equation