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Stability Switches of a Double-delayed Mussel-algae System

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Acta Mathematicae Applicatae Sinica 2024年

作者： Zhi-chao JIANG Jing-hua HE Bo-hai CHEN school of Liberal arts and sciences North China Institute of Aerospace Engineering

The stable switching phenomenon of a diffusion mussel-algae system with two delays and half saturation constant is studied. The stability of positive equilibrium and the existence of Hopf bifurcation on two-delay plane are investigated by calculating the stability switching curves. The normal form on the central manifold near Hopf bifurcation point is also derived. It can find that two different delays can induce the stable switches which cannot occur with the same delays. Through numerical simulations, the region of complete stability of system increases with the increase of half-saturation constant, indicating that the half-saturation constant contributes to the stability of system. In addition, double Hopf bifurcations may occur due to the intersection of bifurcation curves. These results show that two different delay and half-saturation constant have important effects on the system. The numerical simulation results validate the correctness of the theoretical analyses.

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Multivariate form of Hermite sampling series

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Applied Mathematics(A Journal of Chinese Universities) 2024年第2期39卷 253-265页

作者： Rashad M.Asharabi Department of Mathematics College of Arts and SciencesNajran UniversityNajranSaudi Arabia

In this paper,we establish a new multivariate Hermite sampling series involving samples from the function itself and its mixed and non-mixed partial derivatives of arbitrary *** multivariate form of Hermite sampling will be valid for some classes of multivariate entire functions,satisfying certain growth *** will show that many known results included in Commun Korean Math Soc,2002,17:731-740,Turk J Math,2017,41:387-403 and Filomat,2020,34:3339-3347 are special cases of our ***,we estimate the truncation error of this sampling based on localized sampling without decay *** examples are also presented.

关键词： multidimensional sampling series sampling with partial derivatives contour integral truncation error

Characterizations of semihoops based on derivations

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Applied Mathematics(A Journal of Chinese Universities) 2024年第2期39卷 291-310页

作者： WANG Mei ZHANG Xiao-hong school of Electrical and Control Engineering Shaanxi University of Science and TechnologyXi'an 710021China school of arts and sciences Shaanxi University of Science and TechnologyXi'an 710021China school of Mathematics and Statistics Weinan Normal UniversityWeinan 714099China

In this paper,we discuss the related properties of some particular derivations in semihoops and give some characterizations of ***,we prove that every Heyting algebra is isomorphic to the algebra of all multiplicative derivations and show that every Boolean algebra is isomorphic to the algebra of all implicative ***,we show that the sets of multiplicative and implicative derivations on bounded regular idempotent semihoops are in oneto-one correspondence.

关键词： (prelinear)semihoop derivation Heyting algebra Galois connection

Novel Investigation of Stochastic Fractional Differential Equations Measles Model via the White Noise and Global Derivative Operator Depending on Mittag-Leffler Kernel

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Computer Modeling in Engineering & sciences 2024年第6期139卷 2289-2327页

作者： Saima Rashid Fahd Jarad Department of Mathematics Government College UniversityFaisalabad38000Pakistan Department of Natural sciences School of Arts and SciencesLebanese American UniversityBeirut11022801Lebanon Department of Mathematics Faculty of Arts and ScienceÇnkaya UniversityAnkara06790Turkey Department of Medical Research China Medical UniversityTaichung40402TaiwanChina

Because of the features involved with their varied kernels,differential operators relying on convolution formulations have been acknowledged as effective mathematical resources for modeling real-world *** this paper,we constructed a stochastic fractional framework of measles spreading mechanisms with dual medication immunization considering the exponential decay and Mittag-Leffler *** this approach,the overall population was separated into five ***,the descriptive behavior of the system was investigated,including prerequisites for the positivity of solutions,invariant domain of the solution,presence and stability of equilibrium points,and sensitivity *** included a stochastic element in every cohort and employed linear growth and Lipschitz criteria to show the existence and uniqueness of *** numerical simulations for various fractional orders and randomization intensities are illustrated.

关键词： Measles epidemic model Atangana-Baleanu Caputo-Fabrizio differential operators existence and uniqueness qualitative analysis Newton interpolating polynomial

Constant-roll inflation with non-minimally derivative coupling

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Communications in Theoretical Physics 2024年第9期76卷 57-64页

作者： Jie Liu Yungui Gong Zhu Yi school of Physics and Electronic Engineering Hainan Normal University Department of Physics School of Physical Science and Technology Ningbo University school of Physics Huazhong University of Science and Technology Faculty of arts and sciences Beijing Normal University Advanced Institute of Natural sciences Beijing Normal University

We investigate the constant-roll inflation with non-minimally kinetic coupling to the Einstein *** the slow-roll parameter ■ being a constant,we calculate the power spectra for scalar and tensor perturbations,and derive the expressions for the scalar spectral tilt ns,the tensor spectral tilt nT,and the tensor-to-scalar ratio *** find that the expressions for nsare different with different ordering of taking the derivative of the scalar power spectrum with respect to the scale k and the horizon crossing condition csk=a H in the constant-roll inflation,the consistency relation r=-8nTdoes not hold if|ηφ|is not small,and the duality of the tensorto-scalar ratio between the slow-roll inflation and ultra-slow-roll inflation does not exist in inflationary models with non-minimally derivative *** result offers a fresh perspective on the understanding of the inflationary models with non-minimally derivative coupling and is helpful for the production of scalar induced gravitational waves in the framework of ultra-slowroll inflation with non-minimally derivative coupling.

关键词： constant-roll inflation inflation non-minimally derivative coupling inflation

Sustainable food waste management using modified fuzzy improved analytic hierarchy process:a study of Malaysia

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Waste Disposal and Sustainable Energy 2024年第1期6卷 63-84页

作者： Chun Yuan Choo Syariza Abdul-Rahman Abdul Malek Yaakob Emy E.A-Jalil Department of Decision Science School of Quantitative SciencesUniversiti Utara Malaysia06010SintokKedahMalaysia Institute of Strategic Industrial Decision Modeling School of Quantitative SciencesCollege of Arts and SciencesUniversiti Utara Malaysia06010SintokKedahMalaysia Technology and Supply Chain Excellence Institute School of Technology Management and LogisticsUniversiti Utara Malaysia06010SintokKedahMalaysia

Food waste generation is a pressing issue that requires urgent attention and concerted efforts *** staggering amount of food wasted each year not only wastes valuable resources but also exacerbates environmental,economic,and social *** Waste Management(FWM)consists of a complex array of criteria and sub-criteria,and treatments which seems *** is a need to evaluate the FWM with the help of important criteria and sub-criteria and treatments to address this *** this study,we identified four important criteria,21 sub-criteria,and four alternatives of FWM for the case of Malaysia using the integrated approach of literature review and expert ***,we employed the approach of Modified Fuzzy Improved Analytical Hierarchy Process(IAHP)to corroborate the interrelationships among the identified criteria and sub-criteria,and their associated *** study undertakes linear normalization methods to transform data into comparable numerical values and the Geometric Mean method to handle uncertainty in human ***,the Centroid method is employed to convert fuzzy weights into crisp sets for ease of *** results indicate that environmental is the most essential criterion,followed by social,economic,and *** addition,air and water pollution is identified as the most critical *** Soldier Fly is discovered as the most sustainable FWM treatment,since it performs the best while meeting all the criteria and sub-criteria *** analysis demonstrates that the outputs from the proposed method are robust and *** finding suggests a proper and robust approach to help decision-makers select suitable FWM treatments to tackle various criteria and alternatives especially when handling inconsistent and uncertain judgments during evaluation.

关键词： Multi-criteria decision-making Sustainable food waste management Improved Analytical Hierarchy Process Fuzzy method Sensitivity analysis

Rational Solutions of First Order Algebraic Ordinary Differential Equations

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Journal of Systems Science & Complexity 2024年第2期37卷 567-580页

作者： FENG Shuang SHEN Liyong school of Physical and Mathematical sciences Nanjing Tech UniversityNanjing 211816China school of Mathematical sciences University of Chinese Academy of SciencesBeijing 100049China

Let f(t,y,y')=∑ _(i=0)^(n )a_(i)(t,y)y'^(i)=0 be an irreducible first order ordinary differential equation with polynomial *** in 1998 proved that there exists a constant C such that every rational solution of f(t,y,y')=0 is of degree not greater than *** show that this degree bound C depends not only on the degrees of f in t,y,y' but also on the coefficients of f viewed as the polynomial in t,y,y'.In this paper,the authors show that if f satisfies deg(f,y)0,then the degree bound C only depends on the degrees of f in t,y,y',and furthermore we present an explicit expression for C in terms of the degrees of f in t,y,y'.

关键词： Degree bound first order AODE height rational solution

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Bifurcations and Spatiotemporal Patterns in the Diffusive Nutrient-Microorganism Model

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Acta Mathematicae Applicatae Sinica 2024年

作者： Ya-di WANG Hai-long YUAN Yan-ling LI school of arts and sciences Shaanxi University of Science and Technology school of Mathematics and Statistics Xi'an Jiaotong University school of Mathematics and Information Science Shaanxi Normal University

In this paper, the diffusive nutrient-microorganism model subject to Neumann boundary conditions is considered. The Hopf bifurcations and steady state bifurcations which bifurcate from the positive constant equilibrium of the system are investigated in details. In addition, the formulae to determine the direction of Hopf and steady state bifurcations are derived. Our results show the existence of spatially homogeneous/nonhomogeneous periodic orbits and steady state solutions, which indicates the spatiotemporal dynamics of the system. Some numerical simulations are also presented to support the analytical results.

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Techno-aesthetics in architectural discourses:A state of the art review

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Frontiers of Architectural Research 2024年第3期13卷 505-542页

作者： Bita Vasseghipanah Saeed Haghir school of Architecture College of Fine ArtsUniversity of TehranTehranIran

Since the beginning of the First Industrial Revolution,technology and its impact on art and design have been a topic of *** the rise of digital technologies,there has been a renewed interest in exploring the relationship between technology and *** aim of this paper is to clarify the concept of techno-aesthetics and make it a more accessible field of study by identifying its key *** order to understand how technological objects have been evaluated in architectural history,a systematic review of 177 studies was *** collected literature was analyzed using Kant’s characteristics of aesthetic judgment,discourse analysis techniques from Foucault’s methodology and Laclau and Mouffe’s discourse *** helped in creating a framework for classifying the *** study analyzed results based on five categories:admired technological objects and architectural objects inspired by them,concepts(function,truth,freedom,objectivity,unity,and power),standpoints(rationalism,romanticism,optimism,and determinism),and benchmarks of legitimation(ideology,history,scientific nature,everyday aesthetics,and sublimation of technology).These results were then combined to identify eleven significant discourses of techno-aesthetics.

关键词： Techno-aesthetics Architectural technologies Order of discourse Discourse theory Aesthetic judgement