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Numerical analysis of thermophoretic particle deposition on 3D Casson nanofluid: Artificial neural networks-based Levenberg–Marquardt algorithm 三维卡松纳米流体上热泳粒子沉积的数值分析:基于人工神经网络的 Levenberg-Marquardt 算法
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-23 DOI: 10.1515/phys-2023-0181
Amna Khan, Fahad Aljuaydi, Zeeshan Khan, Saeed Islam
The aim of this research is to provide a new computer-assisted approach for predicting thermophoresis particle decomposition on three-dimensional Casson nanofluid flow that passed over a stretched surface (thermophoresis particle decomposition on three-dimensional Casson nanofluid flow; TPD-CNF). In order to understand the flow behavior of nanofluid flow model, an optimized Levenberg–Marquardt learning algorithm with backpropagation neural network (LMLA-BPNN) has been designed. The mathematical model of TPD-CNF framed with appropriate assumptions and turned into ordinary differential equations via suitable similarity transformations are used. The bvp4c approach is used to collect the data for the LMLA-BPNN, which is used for parameters related with the TPD-CNF model controlling the velocity, temperature, and nanofluid concentration profiles. The proposed algorithm LMLA-BPNN is used to evaluate the obtained TDP-CNF model performance in various instances, and a correlation of the findings with a reference dataset is performed to check the validity and efficacy of the proposed algorithm for the analysis of nanofluids flow composed of sodium alginate nanoparticles dispersed in base fluid water. Statistical tools such as Mean square error, State transition dynamics, regression analysis, and error dynamic histogram investigations all successfully validate the suggested LMLA-BPNN for solving the TPD-CNF model. LMLA-BPNN networks have been used to numerically study the impact of different parameters of interest, such as Casson parameter, power-law index, thermophoretic parameter, and Schmidt number on flow profiles (axial and transverse), and energy and nanofluid concentration profiles. The range, i.e., 10−4–10−5 of absolute error of the reference and target data demonstrates the optimal accuracy performance of LMLA-BPNN networks.
本研究旨在提供一种新的计算机辅助方法,用于预测通过拉伸表面的三维卡松纳米流体流上的热泳粒子分解(三维卡松纳米流体流上的热泳粒子分解;TPD-CNF)。为了理解纳米流体流动模型的流动行为,设计了一种优化的 Levenberg-Marquardt 学习算法和反向传播神经网络(LMLA-BPNN)。在适当的假设条件下建立 TPD-CNF 数学模型,并通过适当的相似性转换将其转化为常微分方程。使用 bvp4c 方法为 LMLA-BPNN 收集数据,用于与 TPD-CNF 模型相关的参数,控制速度、温度和纳米流体的浓度曲线。提议的 LMLA-BPNN 算法用于评估在各种情况下获得的 TDP-CNF 模型性能,并将评估结果与参考数据集进行关联,以检查提议的算法在分析由分散在基础流体水中的海藻酸钠纳米颗粒组成的纳米流体流动时的有效性和功效。均方误差、状态转换动力学、回归分析和误差动态直方图调查等统计工具都成功验证了所建议的 LMLA-BPNN 用于求解 TPD-CNF 模型。LMLA-BPNN 网络被用于数值研究不同相关参数(如卡森参数、幂律指数、热泳参数和施密特数)对流动剖面(轴向和横向)以及能量和纳米流体浓度剖面的影响。参考数据和目标数据的绝对误差范围为 10-4-10-5,这表明 LMLA-BPNN 网络具有最佳精度性能。
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引用次数: 0
Enhanced heat transfer and fluid motion in 3D nanofluid with anisotropic slip and magnetic field 增强具有各向异性滑移和磁场的三维纳米流体中的传热和流体运动
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-23 DOI: 10.1515/phys-2023-0131
Shuguang Li, Nainaru Tarakaramu, Muhammad Ijaz Khan, Narsu Sivakumar, Panyam Venkata Satya Narayana, Sherzod Abdullaev, Nissren Tamam, Sayed M. Eldin
A mathematical model is envisaged that discusses the motion of 3D nanofluids (NFs) with anisotropic slip influence magnetic field past a stretching sheet. The heat transportation phenomenon is analysed by melting effect, heat generation, and chemical reaction. The main motivation of this study is to analyse the behaviour of liquid motion and heat transfer (HT) of NFs because this study has huge applications in boiling, solar energy, and micropower generation, which are used in the engineering process. The physical governing partial differential equation is transformed into a coupled non-linear system of ordinary differential equations using suitable appropriate transformations. The translated equations are calculated using Runge–Kutta–Fehlberg method via shooting procedure. The physical characteristics of various parameters on velocities, concentration, and thermal fields are explored in detail. The HT is high in NFs when compared to pure or regular liquids for ascending values of heat source parameter and slip factor. Also, the skin friction coefficients via coordinate axes and rate of Nusselt number were analysed.
我们设想了一个数学模型,讨论具有各向异性滑移影响磁场的三维纳米流体(NFs)在经过拉伸片时的运动。通过熔化效应、发热和化学反应分析了热传输现象。这项研究的主要动机是分析 NFs 的液体运动和热传递(HT)行为,因为这项研究在沸腾、太阳能和微发电等工程过程中有着巨大的应用。通过适当的转换,物理支配偏微分方程被转化为耦合的非线性常微分方程系统。转换后的方程使用 Runge-Kutta-Fehlberg 方法通过射击程序进行计算。详细探讨了各种参数对速度、浓度和热场的物理特性。与纯液体或普通液体相比,当热源参数和滑移系数的值递增时,NF 中的 HT 较高。此外,还分析了通过坐标轴的表皮摩擦系数和努塞尔特数率。
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引用次数: 0
Optoelectronic–thermomagnetic effect of a microelongated non-local rotating semiconductor heated by pulsed laser with varying thermal conductivity 用脉冲激光加热具有不同热导率的微长非局部旋转半导体的光电热磁效应
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-22 DOI: 10.1515/phys-2023-0145
Merfat H. Raddadi, Shreen El-Sapa, Mahjoub A. Elamin, Houda Chtioui, Riadh Chteoui, Alaa A. El-Bary, Khaled Lotfy
In this study, we investigated the effect of a rotation field and magnetic field on a homogeneous photo-thermoelastic nonlocal material and how its thermal conductivity changes as a result of a linearly distributed thermal load. The thermal conductivity of an interior particle is supposed to increase linearly with temperature under the impact of laser pulses. Microelastic (microelements distribution), non-local semiconductors are used to model the problem under optoelectronic procedures, as proposed by the thermoelasticity theory. According to the microelement transport processes, the micropolar-photo-thermoelasticity theory accounts for the medium’s microelongation properties. This mathematical model is solved in two dimensions using the harmonic wave analysis. Non-local semiconductor surfaces can generate completely dimensionless displacement, temperature, microelongation, carrier density, and stress components with the appropriate boundary conditions. The effects of thermal conductivity, thermal relaxation times, magnetic pressure effect, laser pulses, and rotation parameters on wave propagation in silicon (Si) material are investigated and graphically displayed for a range of values.
在这项研究中,我们研究了旋转磁场和磁场对均质光热弹性非局部材料的影响,以及线性分布的热负荷如何改变其热导率。在激光脉冲的影响下,内部颗粒的热导率应该随温度线性增加。根据热弹性理论的建议,在光电程序下使用微弹性(微元素分布)、非局部半导体来模拟这一问题。根据微元素传输过程,微极-光-热弹性理论解释了介质的微伸长特性。这个数学模型是利用谐波分析在二维空间求解的。在适当的边界条件下,非局部半导体表面可产生完全无量纲的位移、温度、微伸长、载流子密度和应力分量。研究了热导率、热弛豫时间、磁压效应、激光脉冲和旋转参数对硅(Si)材料中波传播的影响,并以图形显示了一系列数值。
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引用次数: 0
Thermal proficiency of magnetized and radiative cross-ternary hybrid nanofluid flow induced by a vertical cylinder 垂直圆柱体诱导的磁化和辐射交叉三元混合纳米流体流动的热学性能
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-22 DOI: 10.1515/phys-2023-0197
Wael Al-Kouz, Wahib Owhaib, Assad Ayub, Basma Souayeh, Montasir Hader, Raad Z. Homod, Taseer Muhammad, Anuar Ishak, Umair Khan
The ternary hybrid nanofluid leads to a significant enhancement in thermal performance applications like heat transfer in automotive engines, solar thermal energy storage, aerospace, and electronic cooling. The present study investigates the thermal characteristics of a ternary hybrid magnetized and radiated cross nanofluid comprising Al2O3, TiO2, and Ag nanoparticles in water subjected to combined convection flow around a vertical cylinder. Furthermore, innovative effects of the magnetic field, absorber surface of the cylinder, non-linear thermal radiations, and effective thermophysical characteristics of ternary nanofluid are taken, and a new model for heat transport is successfully achieved. The governing equations in the form of partial differential equations (PDEs) are obtained through Navier–Stokes and heat equations by applying current assumptions. The system of PDEs is converted into a set of ordinary differential equations (ODEs) via a similarity variable. The built-in code bvp4c in Matlab software further exercises the dimensionless ODE equations numerically. Adding multiple nanoparticles and the magnetic field effect enhances the heat transfer rate in the ternary hybrid cross nanofluid. The Weissenberg number reduces the velocity, the radiation parameter increases heat transport, and the increased volume friction of nanoparticles enhances thermal conductivity and rapid heat transport.
三元混合纳米流体可显著提高热性能应用,如汽车发动机传热、太阳能蓄热、航空航天和电子冷却等。本研究探讨了由 Al2O3、TiO2 和 Ag 纳米颗粒组成的三元混合磁化和辐射交叉纳米流体在水中的热特性,该流体在垂直圆柱体周围进行联合对流。此外,还考虑了磁场、圆柱体的吸收表面、非线性热辐射和三元纳米流体的有效热物理特性等创新效应,成功建立了一个新的热传输模型。应用当前假设,通过纳维-斯托克斯方程和热方程,得到了偏微分方程(PDE)形式的控制方程。通过相似变量将偏微分方程系统转换为常微分方程组。Matlab 软件中的内置代码 bvp4c 进一步对无量纲常微分方程进行数值计算。添加多个纳米粒子和磁场效应提高了三元混合交叉纳米流体的传热速率。魏森伯格数降低了速度,辐射参数增加了热量传输,纳米粒子体积摩擦的增加提高了热导率和热量的快速传输。
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引用次数: 0
A numerical analysis of the blood-based Casson hybrid nanofluid flow past a convectively heated surface embedded in a porous medium 基于血液的卡森混合纳米流体流经嵌入多孔介质的对流加热表面的数值分析
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-16 DOI: 10.1515/phys-2023-0193
Humaira Yasmin, Ali M. Mahnashi, Waleed Hamali, Showkat Ahmad Lone, Zehba Raizah, Anwar Saeed
The analysis of the fluid flow with the energy transfer across a stretching sheet has several applications in manufacturing developments such as wire drawing, hot rolling, metal extrusion, continuous casting, paper production, and glass fiber fabrication. The current examination presents the hybrid nanofluid flow past a convectively heated permeable sheet. The ferrous oxide (Fe3O4) and Gold (Au) nanoparticles have been dispersed in the blood. The significances of thermal radiation, inclined magnetic field, and space-dependent heat source have been observed in this work. The modeled equations are presented in the form of partial differential equations and reformed into the set of ordinary differential equations (ODEs) by using the similarity substitution. The Matlab built-in package (bvp4c) is employed to resolve the transform nonlinear set of ODEs. The significance of flow constraints versus the velocity and temperature profiles is demonstrated in the form of Figures and Tables. The numerical outcomes for the physical interest quantities are presented in tables. It has been perceived from the results that raising the angle of inclination from 0° to 90° reduces both the velocity and energy profile. The escalating values of Eckert number, constant heat source, and space-dependent heat source factor accelerate the temperature profile. The velocity and temperature distributions are very effective in the cases of hybrid nanofluid (Au–Fe3O4/blood) when compared to nanofluid (Au/blood). The skin friction and rate of heat transfer are very effective in the cases of hybrid nanofluid (Au–Fe3O4/blood) when compared to nanofluid (Au/blood).
在拉丝、热轧、金属挤压、连铸、造纸和玻璃纤维制造等制造业发展中,对流体在拉伸薄片上的流动和能量传递进行分析有多种应用。本次研究介绍了流经对流加热透气薄片的混合纳米流体。血液中分散了氧化亚铁(Fe3O4)和金(Au)纳米粒子。在这项工作中观察到了热辐射、倾斜磁场和空间热源的重要性。建模方程以偏微分方程的形式呈现,并通过相似性替代法将其重构为常微分方程组(ODE)。Matlab 内置软件包(bvp4c)用于解决非线性 ODE 的转换问题。图和表的形式展示了流动约束与速度和温度曲线之间的关系。物理量的数值结果以表格形式呈现。从结果中可以看出,将倾角从 0°提高到 90°会降低速度和能量曲线。埃克特数、恒定热源和与空间有关的热源因子值的增加会加速温度分布。与纳米流体(金/血)相比,混合纳米流体(金-Fe3O4/血)的速度和温度分布非常有效。与纳米流体(Au/血液)相比,混合纳米流体(Au-Fe3O4/血液)的皮肤摩擦和传热速率非常有效。
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引用次数: 0
The electrically conducting water-based nanofluid flow containing titanium and aluminum alloys over a rotating disk surface with nonlinear thermal radiation: A numerical analysis 含有钛和铝合金的导电水基纳米流体在旋转圆盘表面上的流动具有非线性热辐射:数值分析
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-13 DOI: 10.1515/phys-2023-0184
Humaira Yasmin, Showkat Ahmad Lone, Ali M. Mahnashi, Waleed Hamali, Zehba Raizah, Anwar Saeed
A metallic alloy is a combination of two or more elements, often called a compound or a solution. Steel is largely composed of carbon, a nonmetal, but alloys are often made up of metals. In this article, the authors have explored the electrically conducting water-based viscous nanofluids flow past a rotating disk surface. The nanofluids flow is composed of titanium and aluminum alloys where water is used as a base fluid. Two important cases, namely the stretching case and the shrinking case, were investigated to analyze the flow behaviors due to the different embedding factors. The impacts of viscous Joule heating, thermophoresis, Brownian motion, activation energy, nonlinear thermal radiation, and chemical reaction are investigated here. By employing an appropriate set of variables for shifting the leading equations to dimension-free form. The mathematical model is solved numerically by incorporating the bvp4c MATLAB scheme. Current work is validated with previous studies. The outcomes showed that the radial velocity increases when the disk surface stretches and reduces when the disk surface shrinks. On the other hand, the Azimuthal velocity increases when the disk surface shrinks and reduces when disk surface stretches. Both the radial and Azimuthal velocities are the diminishing functions of the magnetic factor, whereas temperature is the growing function of magnetic factor. In addition, the temperature is more influenced by the magnetic factor in the case of nonlinear radiation. The higher magnetic factor increases skin friction. In addition, the stretching case experiences more surface drag than the shrinking case. It is found that nanofluid flow containing titanium alloy has perceived the greater impacts of the embedded factors compared to the nanofluid flow containing aluminum alloy.
金属合金是两种或两种以上元素的组合,通常称为化合物或溶液。钢主要由碳这种非金属组成,但合金通常由金属组成。在这篇文章中,作者探讨了导电水基粘性纳米流体流过旋转圆盘表面的情况。纳米流体流由钛合金和铝合金组成,以水为基液。研究了两种重要情况,即拉伸情况和收缩情况,以分析不同嵌入因素导致的流动行为。这里研究了粘性焦耳加热、热泳、布朗运动、活化能、非线性热辐射和化学反应的影响。通过采用一组适当的变量,将先导方程转换为无维度形式。数学模型采用 bvp4c MATLAB 方案进行数值求解。目前的工作与之前的研究进行了验证。结果表明,当圆盘表面拉伸时,径向速度增加;当圆盘表面收缩时,径向速度减小。另一方面,方位速度在磁盘表面收缩时增加,在磁盘表面拉伸时减小。径向速度和方位角速度都是磁因子的递减函数,而温度则是磁因子的增长函数。此外,在非线性辐射情况下,温度受磁因子的影响更大。磁因子越高,表皮摩擦越大。此外,拉伸情况下的表面阻力大于收缩情况下的表面阻力。研究发现,与含有铝合金的纳米流体流相比,含有钛合金的纳米流体流受到嵌入因子的影响更大。
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引用次数: 0
Growth, characterization, and anti-bacterial activity of l-methionine supplemented with sulphamic acid single crystals 添加了氨基磺酸的蛋氨酸单晶的生长、特性和抗菌活性
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-12 DOI: 10.1515/phys-2023-0175
Friedelin R. S. Vithel, Ramadoss Manimekalai, Sreekrishnan Rajammal Cynthia, Vediyappan Govindan, M. Ijaz Khan, Sherzod Abdullaev, Salman A. AlQahtani, Nouf F. AlQahtani
Sulphamic acid (SA) crystals supplemented with l-methionine (LM) were grown at moderate temperatures using a slow evaporation procedure. The powder XRD pattern showed that LM supplemented with SA (LMSA) crystals have an orthorhombic crystal structure. The FTIR studies confirmed the presence of various vibrational modes. Using a UV-Vis spectrometer, the transmittance of LMSA in the UV and visible range was observed, and the band gap of the LMSA was also calculated. The hardness value of LMSA was higher compared to that of pure SA. Photoluminescence emission studies of LMSA pointed out emissions at 491 and 542 nm, which were attributed to the transition from the 5D4 state to 7F6 and 7F5 ground, respectively. LMSA crystals were effective in killing pathogenic bacteria, according to the studies on their anti-bacterial activity.
采用缓慢蒸发法,在中等温度下培育出了添加了蛋氨酸(LM)的氨基磺酸(SA)晶体。粉末 XRD 图显示,添加了 LM 的 SA(LMSA)晶体具有正方晶体结构。傅立叶变换红外光谱研究证实了各种振动模式的存在。使用紫外可见光谱仪观察了 LMSA 在紫外和可见光范围内的透射率,并计算了 LMSA 的带隙。与纯 SA 相比,LMSA 的硬度值更高。对 LMSA 的光致发光发射研究表明,在 491 纳米和 542 纳米处有发射,这分别是由于从 5D4 态过渡到 7F6 和 7F5 地态。根据其抗菌活性研究,LMSA 晶体能有效杀死病原菌。
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引用次数: 0
Heat transfer characteristics of cobalt ferrite nanoparticles scattered in sodium alginate-based non-Newtonian nanofluid over a stretching/shrinking horizontal plane surface 钴铁氧体纳米粒子在拉伸/收缩水平平面上散布于海藻酸钠基非牛顿纳米流体中的传热特性
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-01-31 DOI: 10.1515/phys-2023-0182
Samia Elattar, Umair Khan, Aurang Zaib, Anuar Ishak, Norah Alwadai, Ahmed M. Abed
Magnetite and cobalt ferrite (CoFe2O4) nanoparticles are frequently utilized in several applications, including magnetic drug delivery, hyperthermia, magnetic resonance imaging, etc. In the current investigation, the magnetohydrodynamic three-dimensional heat transfer (HT) flow induced by a non-Newtonian Eyring–Powell fluid is incorporated by a carrier sodium alginate (NAC6H7O6)-based CoFe2O4 nanoparticles over a deformable (stretching/shrinking) horizontal plane surface with orthogonal shear stress and power-law velocity. The HT analysis along with the substantial effect of irregular heat source/sink as well as entropy generation is also performed. The similarity variables altered the posited leading equations into ordinary differential (similarity) equations. The function bvp4c in Matlab is then used to solve these equations numerically for various parameter values. Results indicate that, in general, there are two alternative solutions for the phenomenon of suction and deformable parameters. In addition, the essential thermal evaluation is enhanced owing to the significance of CoFe2O4 nanoparticles, magnetic parameter, and irregular heat source/sink.
磁铁矿和钴铁氧体(CoFe2O4)纳米粒子经常被用于多种应用,包括磁性给药、热疗、磁共振成像等。在当前的研究中,以海藻酸钠(NAC6H7O6)为载体的 CoFe2O4 纳米粒子在具有正交剪切应力和幂律速度的可变形(拉伸/收缩)水平平面上诱导了非牛顿艾林-鲍威尔流体的磁流体力学三维传热(HT)流动。此外,还进行了 HT 分析以及不规则热源/散热器和熵生成的实质性影响。相似性变量将假设的先导方程转化为常微分(相似性)方程。然后使用 Matlab 中的 bvp4c 函数对这些方程的各种参数值进行数值求解。结果表明,一般来说,吸力现象和可变形参数有两种可供选择的解决方案。此外,由于 CoFe2O4 纳米粒子、磁性参数和不规则热源/散热器的重要性,基本热评估得到了加强。
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引用次数: 0
Mononuclear nanofluids undergoing convective heating across a stretching sheet and undergoing MHD flow in three dimensions: Potential industrial applications 单核纳米流体在拉伸片上进行对流加热,并在三维空间中进行 MHD 流动:潜在的工业应用
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-01-26 DOI: 10.1515/phys-2023-0170
Saima Noor, Azzh Saad Alshehry
The main goal of this study is to analyze the nanofluid boundary layer as it flows over a bidirectional, exponentially extending sheet in both convective and magnetic field environments. The mathematical model considers the results of Brownian motion and particle movement caused by a temperature gradient. Using appropriate similarity transformations, governing partial differential equations are converted into ordinary differential systems, and the design of equations is then solved using the Haar wavelet collocation approach. The findings identify unique trends in the distribution of temperature and show relationships with particular sets of parametric values. These results emphasize how important it is to note temperature fluctuations associated with specific parametric settings. The findings are validated by contrasting the results with similar cases from earlier studies in the literature. The findings indicate that temperature distribution is reduced by increasing the Prandtl number. Additionally, the local Biot number has qualitatively similar effects on temperature and concentration profiles. For higher local Biot numbers, the profiles of concentration and temperature are better.
本研究的主要目标是分析纳米流体边界层在对流和磁场环境中流过双向、指数扩展的薄片时的情况。数学模型考虑了温度梯度引起的布朗运动和粒子运动的结果。利用适当的相似变换,将支配偏微分方程转换为常微分方程系统,然后利用哈小波配位法解决方程设计问题。研究结果确定了温度分布的独特趋势,并显示了与特定参数值集之间的关系。这些结果强调了注意与特定参数设置相关的温度波动的重要性。通过与文献中早期研究的类似案例进行对比,验证了研究结果。研究结果表明,温度分布会随着普朗特数的增加而减小。此外,局部比奥特数对温度和浓度分布也有类似的影响。局部 Biot 数越高,浓度和温度分布越好。
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引用次数: 0
Numerical analysis of dengue transmission model using Caputo–Fabrizio fractional derivative 利用卡普托-法布里齐奥分数导数对登革热传播模型进行数值分析
IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-01-25 DOI: 10.1515/phys-2023-0169
Azzh Saad Alshehry, Humaira Yasmin, Ahmed A. Khammash, Rasool Shah
This study demonstrates the use of fractional calculus in the field of epidemiology, specifically in relation to dengue illness. Using noninteger order integrals and derivatives, a novel model is created to examine the impact of temperature on the transmission of the vector–host disease, dengue. A comprehensive strategy is proposed and illustrated, drawing inspiration from the first dengue epidemic recorded in 2009 in Cape Verde. The model utilizes a fractional-order derivative, which has recently acquired popularity for its adaptability in addressing a wide variety of applicable problems and exponential kernel. A fixed point method of Krasnoselskii and Banach is used to determine the main findings. The semi-analytical results are then investigated using iterative techniques such as Laplace-Adomian decomposition method. Computational models are utilized to support analytical experiments and enhance the credibility of the results. These models are useful for simulating and validating the effect of temperature on the complex dynamics of the vector–host interaction during dengue outbreaks. It is essential to note that the research draws on dengue outbreak studies conducted in various geographic regions, thereby providing a broader perspective and validating the findings generally. This study not only demonstrates a novel application of fractional calculus in epidemiology but also casts light on the complex relationship between temperature and the dynamics of dengue transmission. The obtained results serve as a foundation for enhancing our understanding of the complex interaction between environmental factors and infectious diseases, leading the way for enhanced prevention and control strategies to combat global dengue outbreaks.
本研究展示了分数微积分在流行病学领域的应用,特别是与登革热疾病相关的应用。通过使用非整数阶积分和导数,建立了一个新模型来研究温度对病媒-宿主疾病登革热传播的影响。该模型从 2009 年佛得角首次登革热疫情中汲取灵感,提出并说明了一项综合策略。该模型采用了分数阶导数,该导数因其在解决各种适用问题时的适应性和指数内核而受到欢迎。该模型采用 Krasnoselskii 和 Banach 的定点法来确定主要结论。然后使用拉普拉斯-阿多米分解法等迭代技术对半分析结果进行研究。利用计算模型来支持分析实验,提高结果的可信度。这些模型有助于模拟和验证登革热爆发期间温度对病媒-宿主复杂动态相互作用的影响。必须指出的是,这项研究借鉴了在不同地理区域进行的登革热爆发研究,从而提供了更广阔的视角,并从总体上验证了研究结果。这项研究不仅展示了分数微积分在流行病学中的新应用,还揭示了温度与登革热传播动态之间的复杂关系。研究结果为加深我们对环境因素与传染病之间复杂互动关系的理解奠定了基础,为加强登革热疫情的预防和控制策略指明了方向。
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引用次数: 0
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