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Percolation of conditional dependency clusters based on edge-coupled interdependent networks 基于边缘耦合相互依存网络的条件依存簇的循环
Pub Date : 2024-07-25 DOI: 10.1088/1402-4896/ad67ad
Yanli Gao, Haibo Yu, liu jun, Jie Zhou
Considering the existence of multiple edge dependencies in realistic interdependent networks, we propose a model of edge-coupled interdependent networks with conditional dependency clusters (EINCDCs). In this model, the edges in network A depend on the edges in dependency clusters of size $m$ in network B. If the failure rate of edges within the dependency clusters in network B exceeds the failure tolerance $alpha$, the corresponding edges in network A that depend on those clusters in network B will fail accordingly. By adopting the self-consistent probabilities approach, a theoretical analytical framework is established to quantitatively address this model. Specifically, we study the robustness of the system verified with numerical simulations in the effect of the cluster size and failure tolerance under random attacks on systems composed of two networks A and B constructed with Random Regular (RR), Erdős-Rényi (ER) and Scale Free (SF) model. Our results show that both networks A and B undergo a first-order or hybrid phase transition when the dependency cluster size does not exceed 2. However, when the cluster size of dependency clusters exceeds 2, a non-monotonic behavior is observed. In particular, when the failure tolerance is the range from 0 to 0.5, the robustness of the system weakens with the growing in the number of dependency clusters of size 2. While, this tendency reverses when the failure tolerance is in the range from 0.5 to 1. Moreover, we observe that due to the asymmetric interdependency between the two networks, network B always undergoes first-order phase transition, whereas network A could exhibit different types of phase transitions, which depends on the size of dependency clusters. In addition, the failure tolerance may have opposite effects on the two networks with the growing of dependency cluster sizes. The conclusions of the study may provide useful implications and enrich the understanding in the robustness of edge-coupled interdependent networks.
考虑到现实相互依赖网络中存在多重边缘依赖关系,我们提出了一种带条件依赖簇(EINCDC)的边缘耦合相互依赖网络模型。在该模型中,网络 A 中的边依赖于网络 B 中大小为 $m$ 的依赖簇中的边。如果网络 B 中依赖簇中的边的失效率超过失效容限 $α$,则网络 A 中依赖于网络 B 中这些簇的相应边也会相应失效。通过采用自洽概率方法,我们建立了一个理论分析框架来定量地处理这个模型。具体来说,我们研究了系统的鲁棒性,并通过数值模拟验证了在随机攻击下,簇大小和故障容忍度对由随机正则(RR)、厄尔多斯-雷尼(ER)和无标度(SF)模型构建的两个网络 A 和 B 组成的系统的影响。结果表明,当依赖簇大小不超过 2 时,网络 A 和网络 B 都会经历一阶或混合相变,但当依赖簇大小超过 2 时,就会出现非单调行为。特别是,当故障容限在 0 到 0.5 之间时,系统的鲁棒性会随着规模为 2 的隶属集群数量的增加而减弱。而当故障容差范围在 0.5 到 1 之间时,这种趋势就会逆转。此外,我们还发现,由于两个网络之间的相互依赖关系不对称,网络 B 总是会发生一阶相变,而网络 A 则会表现出不同类型的相变,这取决于依赖簇的大小。此外,随着依赖簇大小的增加,故障容忍度对两个网络的影响可能相反。本研究的结论可能会对边缘耦合相互依赖网络的鲁棒性提供有益的启示,并丰富对其的理解。
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引用次数: 0
Artificial Bee Colony Optimization Algorithm with Full Dimensional Updating Strategy and Its Application 采用全维更新策略的人工蜂群优化算法及其应用
Pub Date : 2024-07-25 DOI: 10.1088/1402-4896/ad67b4
Yuangang Li, Wu Deng
For the low accuracy and slow convergence speed of artificial bee colony(ABC) algorithm in solving complex optimization problems, an improved artificial bee colony(ABC) algorithm based on the new full dimensional updating ABC/best /1 strategy, namely FNABC was proposed in this paper. In the FNABC, for the low efficiency of one-dimensional search, the full dimensional updating search strategy and ABC/best /1 strategy were combined to design a new full dimensional updating ABC/best/1 strategy, which expanded the search space, improved the mining ability and search efficiency. Then, a new evolutionary phase is designed to balance the global search ability and local mining ability to avoid falling into local optimum and improve the convergence accuracy. Finally, the FNABC is compared with eight state-of-the-art ABC variants such as AABC, iqABC, MEABC, ABCVSS, GBABC, DFSABC, MABC-NS, MGABC in solving 12 complex functions. All functions have obtained the best optimal values among 9 algorithms. Additionally, FNABC is applied to solve a real-world train operation adjustment problem. The experiment results indicate that the FNABC has better optimization ability, scalability and robustness. It obtains the ideal train operation adjustment results.
针对人工蜂群(ABC)算法在解决复杂优化问题时精度低、收敛速度慢的问题,本文提出了一种基于新的全维更新ABC/最佳/1策略的改进人工蜂群(ABC)算法,即FNABC。在 FNABC 中,针对一维搜索效率低的问题,将全维更新搜索策略和 ABC/best /1 策略相结合,设计了一种新的全维更新 ABC/best/1 策略,拓展了搜索空间,提高了挖掘能力和搜索效率。然后,设计了一个新的进化阶段,以平衡全局搜索能力和局部挖掘能力,避免陷入局部最优,提高收敛精度。最后,在求解 12 个复杂函数时,比较了 FNABC 和八个最先进的 ABC 变体,如 AABC、iqABC、MEABC、ABCVSS、GBABC、DFSABC、MABC-NS、MGABC。在 9 种算法中,所有函数都获得了最佳值。此外,FNABC 还被应用于解决现实世界中的列车运行调整问题。实验结果表明,FNABC 具有更好的优化能力、可扩展性和鲁棒性。它获得了理想的列车运行调整结果。
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引用次数: 0
A MIMO Antenna Array Featuring Dual Wideband and High Gain for 5G NR n257/n258/n260/n261 Bands Applications 面向 5G NR n257/n258/n260/n261 频段应用的双宽带高增益 MIMO 天线阵列
Pub Date : 2024-07-25 DOI: 10.1088/1402-4896/ad67ab
A. Hmamou, Fatima kiouach, Sudipta Das, M. El Ghzaoui, Tanvir Islam, B. T. P. Madhav
This article introduces the development of a Multi-Input Multi-Output (MIMO) antenna array specifically designed for 5G millimeter-wave (mm-wave) communication systems. The suggested MIMO configuration consists of four antenna arrays, each comprising two elements arranged evenly, operating at 26 GHz and 37 GHz with a physical size of 43 mm × 32.5 mm × 0.8 mm using a Rogers RT/Duroid 5880 substrate. The proposed MIMO configuration provides dual bands, with frequency bands extending from 23.8 to 30 GHz (IBW= 6.2 GHz) and 32.5 to 41 GHz (IBW= 8.5 GHz), accompanied by high gains of around 18.5 dB for the first band and 16.4 dB for the second band. The designed antenna also shows broad circular polarization with 3 dB Axial Ratio Bandwidth (ARBW) of 4.75 GHz, ranging from 25.05 to 29.8 GHz. A physical prototype has been fabricated for the proposed 4 port MIMO antenna array and tested to verify the results acquired from simulations. The comparison between simulation and measurement results in terms impedance and radiation parameters such as S-parameters, isolation, gain, axial ratio (AR), efficiency, radiation patterns, and various necessary MIMO metrics demonstrates a strong alignment. This antenna covers various 5G New Radio (NR) application bands such as 28 GHz n257 (26.50-29.50 GHz), 26 GHz n258 (24.25-27.50 GHz), 28 GHz n260 (37-40 GHz) and 28 GHz n261 (27.50-28.35 GHz) utilized across different countries including Canada, Australia, China, France, Germany, India, Italy, Japan, South Korea, United Kingdom, and United States of America.
本文介绍了专为 5G 毫米波(mm-wave)通信系统设计的多输入多输出(MIMO)天线阵列的开发情况。建议的 MIMO 配置由四个天线阵列组成,每个阵列由均匀排列的两个元件组成,工作频率为 26 GHz 和 37 GHz,物理尺寸为 43 mm × 32.5 mm × 0.8 mm,使用罗杰斯 RT/Duroid 5880 基板。拟议的 MIMO 配置可提供双频,频段分别为 23.8 至 30 GHz(IBW= 6.2 GHz)和 32.5 至 41 GHz(IBW= 8.5 GHz),第一个频段的增益约为 18.5 dB,第二个频段的增益约为 16.4 dB。所设计的天线还显示出宽广的圆极化,其 3 分贝轴向比带宽(ARBW)为 4.75 千兆赫,频率范围为 25.05 至 29.8 千兆赫。已为所提出的 4 端口 MIMO 天线阵列制作了物理原型,并进行了测试,以验证模拟结果。模拟和测量结果在阻抗和辐射参数(如 S 参数、隔离度、增益、轴向比 (AR)、效率、辐射模式和各种必要的 MIMO 指标)方面的比较显示出很强的一致性。该天线覆盖了各种 5G 新无线电 (NR) 应用频段,如 28 GHz n257(26.50-29.50 GHz)、26 GHz n258(24.25-27.50 GHz)、28 GHz n260(37-40 GHz)和 28 GHz n261(27.50-28.35 GHz),这些频段在不同国家使用,包括加拿大、澳大利亚、中国、法国、德国、印度、意大利、日本、韩国、英国和美国。
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引用次数: 0
Bessel beams generation with biphase transition of vanadium dioxide metasurface 二氧化钒超表面双相转变产生贝塞尔光束
Pub Date : 2024-07-25 DOI: 10.1088/1402-4896/ad67b5
Hu Bo, Zhijian Wang, Zhifang Qiu, Xinning Yu, Xiaogang Wang, Kaikai Huang, Mingli Sun, Bijun Xu
Bessel beams are highly attractive due to their non-diffraction properties, parallel processing capabilities, and large capacity. However, conventional methods for generating Bessel beams, such as using spatial light modulators, axicons, and diffraction optical elements, face limitations in terms of system complexity, bulkiness, low uniformity, and limited numerical aperture (NA). In this work, we exploited the phase change material vanadium dioxide (VO2) to generate both transmitted and reflected Bessel beams. Moreover, the self-healing property of Bessel beams was verified. Our resultsreveal that VO2 in the insulating state achieves a transmittance of 85% in the transmitting mode, while VO2 in the metallic state exhibits a reflection efficiency of 77% in the reflecting modeThis performance indicates the potential applications in efficient switchable metasurfaces.
贝塞尔光束因其非衍射特性、并行处理能力和大容量而极具吸引力。然而,生成贝塞尔光束的传统方法,如使用空间光调制器、轴光子和衍射光学元件,在系统复杂性、体积、低均匀性和有限的数值孔径(NA)等方面面临限制。在这项工作中,我们利用相变材料二氧化钒(VO2)来产生透射和反射贝塞尔光束。此外,我们还验证了贝塞尔光束的自愈特性。我们的研究结果表明,绝缘状态下的二氧化钒在透射模式下的透过率达到 85%,而金属状态下的二氧化钒在反射模式下的反射效率为 77%。
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引用次数: 0
Reduction of the deceleration phase to mitigate the negative effect of hydrodynamic instabilities in direct-drive ICF implosions 减少减速阶段以减轻直接驱动集成电路框架内爆中流体动力不稳定性的负面影响
Pub Date : 2024-07-25 DOI: 10.1088/1402-4896/ad67b7
M. Temporal, A. R. Piriz, B. Canaud, Rafael Ramis
In the deceleration phase of an Inertial Confinement Fusion capsule implosion Rayleigh-Taylor hydrodynamic instability can affect or even quench the ignition and thermonuclear burn wave propagation. This instability tends to mix the inner hot plasma with the cold and dense plasma shell providing a mixing layer where nuclear fusion reactions are inhibited. The 1D hydrodynamic code Multi-IFE has been used to simulate the implosion of a direct-drive high-gain laser-capsule design and the temporal evolution of the average radius and thickness of the mixing layer have been estimated. To mimic the effect of the reduced reaction rate the fuel reactivity in the mixing layer has been artificially set to zero thus inhibiting the burn wave propagation throughout it nullifying the energy gain. In order to overcome this negative effect is proposed the addition of secondary short and powerful laser pulse that would reduce the duration of the deceleration phase, which in turn get smaller the thickness of the mixing layer. A study has been performed to identify the optimal secondary laser pulse that allows recover the high energy gain.
在惯性约束聚变舱内爆的减速阶段,雷利-泰勒流体力学不稳定性会影响甚至熄灭点火和热核燃料波的传播。这种不稳定性往往会将内部的热等离子体与冷的致密等离子体外壳混合在一起,形成一个混合层,从而抑制核聚变反应。我们使用一维流体力学代码 Multi-IFE 模拟了直驱高增益激光器-胶囊设计的内爆,并估算了混合层平均半径和厚度的时间演变。为了模拟反应速率降低的效果,混合层中的燃料反应性被人为设置为零,从而抑制了燃烧波在混合层中的传播,使能量增益无效。为了克服这种负面影响,我们建议加入二次短脉冲和强激光脉冲,以缩短减速阶段的持续时间,进而减小混合层的厚度。为了确定能够恢复高能量增益的最佳次级激光脉冲,我们进行了一项研究。
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引用次数: 0
Size-dependent nonlinear free vibration of magneto-electro-elastic nanobeams by incorporating modified couple stress and nonlocal elasticity theory 结合修正的耦合应力和非局部弹性理论,研究磁电弹性纳米梁随尺寸变化的非线性自由振动
Pub Date : 2024-07-25 DOI: 10.1088/1402-4896/ad67b6
Yang Zhou, Yufang Zheng, Feng Wang, Changping Chen
Magneto-Electro-Elastic (MEE) Composites, as an innovative functional material blend, are composed of multiple materials, boasting exceptional strength, rigidity, and an extraordinary magneto-electric interaction effect. This paper establishes a nonlocal modified couple stress (NL-MCS) magneto-electro-elastic nanobeam dynamic model. To accurately capture the intricate influences of scale effects on nanostructures, This model meticulously examines scale effects from two distinct perspectives: leveraging nonlocal elasticity theory to elucidate the softening phenomena in nanostructures stemming from long-range particle interactions, and employing modified couple stress theory to reveal the hardening effects attributed to the rotational behavior of particles within the structure. By incorporating Von Karman geometric nonlinearity, Reddy's third-order shear deformation theory and Maxwell's equations, the governing equations for the nonlinear free vibration of MEE nanobeams are derived using Hamilton's principle. Finally, a two-step perturbation method is employed to solve these equations. Two-step perturbation method disintegrates the solution process into two stages, iteratively approximating and refining the solution, thereby progressively unraveling the intricate details and enhancing the precision of the solution in a systematic manner. Finally, the nonlinear free vibration behavior of MEE nanobeams is explored under the coupled magnetic-electric-elastic fields, with a focus on the effects of various factors that including length scale parameters, nonlocal parameters, Winkler-Pasternak coefficients, span-to-thickness ratios, applied voltages, and magnetic potentials.
磁电弹性(MEE)复合材料作为一种创新的功能性混合材料,由多种材料组成,具有优异的强度、刚度和非凡的磁电相互作用效应。本文建立了非局部修正耦合应力(NL-MCS)磁电弹性纳米梁动态模型。为了准确捕捉尺度效应对纳米结构的复杂影响,该模型从两个不同的角度对尺度效应进行了细致的研究:利用非局部弹性理论来阐明纳米结构中源于长程粒子相互作用的软化现象,并采用修正耦合应力理论来揭示结构中粒子旋转行为所产生的硬化效应。通过结合冯卡尔曼几何非线性、雷迪三阶剪切变形理论和麦克斯韦方程,利用汉密尔顿原理推导出了 MEE 纳米梁非线性自由振动的控制方程。最后,采用两步扰动法求解这些方程。两步扰动法将求解过程分解为两个阶段,对求解进行迭代逼近和细化,从而逐步解开复杂的细节,系统地提高求解精度。最后,探讨了 MEE 纳米梁在磁-电-弹性耦合场下的非线性自由振动行为,重点研究了长度尺度参数、非局部参数、温克勒-帕斯捷尔纳克系数、跨度与厚度比、外加电压和磁势等各种因素的影响。
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引用次数: 0
Nuclear Acoustic Envelope Soliton in a Relativistically Degenerate Magneto-Rotating Stellar Plasma 相对论退化磁旋转恒星等离子体中的核声包络孤子
Pub Date : 2024-07-25 DOI: 10.1088/1402-4896/ad67ae
Swarniv Chandra, Gobinda Manna, Deepsikha Mahanta
The study explores a model called Relativistic Degenerate Magneto-Rotating Quantum Plasma (RDMRQP), which comprises a static heavy nucleus, an inertial non-degenerate light nucleus, and warm non-relativistic or ultra-relativistic electrons. The focus is on observing the emergence of Nucleus-Acoustic Envelope Solitons (NAESs). Using the reductive perturbation method, a Nonlinear Schrödinger Equation (NLSE) is derived to characterize the properties of NAESs. We have analysed the Peregrine breather soliton solution. The investigation reveals that the temperature of warm degenerate species, plasma system's rotational speed, and the presence of heavy nucleus species can alter the fundamental features (height and width) of NAESs in the WDMRQP system. The study emphasizes the existence of only positive NA wave potential. Additionally, a phase plane analysis is conducted to gain a deeper understanding of the parametric dependencies. Through detailed mathematical and numerical analysis, the study avoids overloading with complex mathematics while demonstrating parametric dependence via phase portrait analysis. The research augments the envelop soliton model with breather mode solutions and discusses modulation instability using the Benjamin-Feir Index, highlighting the significance of solitons in star formation. Envelop solitons, stable waves within stars and proto-stars, influence energy transport and stellar evolution, playing a crucial role in the accretion process and formation of stable structures. Key findings include the effects of various parameters on NAESs' generation and propagation in which non-relativistic and ultra-relativistic electrons support NAESs, with amplitude and width influenced by temperature, rotational frequency, inclination angle, and the presence of a static heavy nucleus. The research is applicable to hot white dwarfs and neutron stars, suggesting further exploration of quantum effects and non-planar or arbitrary amplitude NAESs.
该研究探索了一个名为相对论退化磁旋转量子等离子体(RDMRQP)的模型,它由一个静态重核、一个惯性非退化轻核和温暖的非相对论或超相对论电子组成。重点是观测核声包络孤子(NAES)的出现。利用还原扰动法,我们推导出一个非线性薛定谔方程(NLSE),以描述非线性包络孤子的特性。我们分析了百灵鸟呼吸孤子解决方案。研究结果表明,暖退化物种的温度、等离子体系统的旋转速度以及重核物种的存在都会改变 WDMRQP 系统中 NAES 的基本特征(高度和宽度)。研究强调 NA 波势只存在正值。此外,还进行了相平面分析,以深入了解参数依赖关系。通过详细的数学和数值分析,研究避免了复杂数学的过多负担,同时通过相面分析展示了参数依赖性。该研究利用呼吸模式解增强了包络孤子模型,并利用本杰明-费尔指数讨论了调制不稳定性,突出了孤子在恒星形成过程中的重要性。包层孤子是恒星和原恒星内部的稳定波,影响着能量传输和恒星演化,在增殖过程和稳定结构的形成中起着至关重要的作用。研究的主要发现包括各种参数对NAES产生和传播的影响,其中非相对论和超相对论电子支持NAES,其振幅和宽度受温度、旋转频率、倾角和静态重核存在的影响。该研究适用于热白矮星和中子星,建议进一步探索量子效应和非平面或任意振幅的 NAES。
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引用次数: 0
An E-nose system for identification and quantification of hazardous gas mixtures using a combined strategy of CNNs and attentional mechanisms 使用 CNN 和注意机制组合策略识别和量化危险气体混合物的电子鼻系统
Pub Date : 2024-07-24 DOI: 10.1088/1402-4896/ad671d
Yaning Yang, Xiuling Wang, Lin Zhao, Zhen Li, Yanhui Sun
The chemical industry generates a broad spectrum of hazardous gases, presenting significant challenges for conventional detection methods due to their diverse chemical properties and low concentration levels. E-nose systems, employing sensor arrays, offer significant potential for the determination of gas mixtures. This study presents a novel E-nose algorithm, CNN-ECA, which integrated CNNs and attention mechanisms to improve the recognition accuracy of E-nose systems. By integrating the attention mechanism module into CNN's convolutional operations, the algorithm emphasizes critical feature information. Three hazardous gases (ammonia, methanol, and acetone) and their mixtures were chosen as target gases. CNNs were combined with various attention mechanism networks (SENet, ECA, and CBAM) to construct models, which were then employed to train and evaluate data collected from the sensor array. The results were compared with traditional network models (KNN, SVM, and CNN). Experimental findings indicated that the prediction performance of CNN models combined with attention mechanism networks surpassed that of traditional network models. Particularly, the CNN-ECA network model demonstrated the highest performance in both qualitative and quantitative analyses. This study presents a promising solution for mixed gas detection by synergizing CNN and attention mechanism networks, thereby enhancing the accuracy and reliability of mixed gas measurements. Moreover, capitalizing on the lightweight architecture of the CNN-ECA model, transfer learning techniques were employed to adapt it for deployment on the Raspberry Pi hardware platform. This facilitates the development of a real-time E-nose system for gas detection.
化学工业会产生各种有害气体,由于其化学性质多样且浓度较低,给传统检测方法带来了巨大挑战。采用传感器阵列的电子鼻系统为确定混合气体提供了巨大的潜力。本研究提出了一种新型电子鼻算法 CNN-ECA,它集成了 CNN 和注意力机制,以提高电子鼻系统的识别准确率。通过将注意力机制模块集成到 CNN 的卷积运算中,该算法强调了关键特征信息。我们选择了三种有害气体(氨气、甲醇和丙酮)及其混合物作为目标气体。将 CNN 与各种注意机制网络(SENet、ECA 和 CBAM)结合起来构建模型,然后利用这些模型对从传感器阵列收集到的数据进行训练和评估。实验结果与传统网络模型(KNN、SVM 和 CNN)进行了比较。实验结果表明,与注意力机制网络相结合的 CNN 模型的预测性能超过了传统网络模型。尤其是 CNN-ECA 网络模型在定性和定量分析中都表现出了最高的性能。本研究通过将 CNN 与注意力机制网络协同作用,为混合气体检测提供了一种前景广阔的解决方案,从而提高了混合气体测量的准确性和可靠性。此外,还利用 CNN-ECA 模型的轻量级架构,采用迁移学习技术将其部署到 Raspberry Pi 硬件平台上。这有助于开发用于气体检测的实时电子鼻系统。
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引用次数: 0
Mathematical analysis using fractional operator to study the dynamics of dengue fever 利用分数算子进行数学分析,研究登革热的动态变化
Pub Date : 2024-07-24 DOI: 10.1088/1402-4896/ad671b
Manisha Meena, Mridula Purohit, Shyamsunder K
Researchers and analysts are intensively studying modeling contagious diseases using non-integer order derivatives to enhance understanding and prediction. Taking this idea forward, in this study, we consider the fractional model for dengue fever disease. The Hilfer fractional model was initially formulated to address epidemic dynamics. This study employed the numerical technique, the Laplace homotopy analysis transform method (LHATM), to examine the fractional dengue fever model for analysis. We employed homotopy analysis and Laplace transform to formulate the proposed technique. There is also a consideration of the uniqueness and convergence of the solution. Utilizing MATLAB21a, numerical simulation for different integer and non-integer orders within the interval $(0,1)$ has been drawn.
研究人员和分析人员正在深入研究利用非整数阶导数建立传染病模型,以加强对疾病的理解和预测。根据这一思路,我们在本研究中考虑了登革热疾病的分数模型。Hilfer 分数模型最初是为了解决流行病动力学问题而提出的。本研究采用数值技术--拉普拉斯同调分析变换法(LHATM)--对登革热分型模型进行分析研究。我们采用了同调分析和拉普拉斯变换来制定拟议的技术。我们还考虑了解的唯一性和收敛性。利用 MATLAB21a,对区间$(0,1)$内的不同整数阶和非整数阶进行了数值模拟。
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引用次数: 0
Investigation of conjunctivitis adenovirus spread in human eyes by using bifurcation tool and numerical treatment approach 利用分叉工具和数值处理方法调查结膜炎腺病毒在人眼中的传播情况
Pub Date : 2024-07-24 DOI: 10.1088/1402-4896/ad62a5
Faisal Javed, Aqeel Ahmad, Ali Hasan Ali, E. Hıncal, Ayesha Amjad
In order to investigate the dynamics of the system, a mathematical model must be created to comprehend the dynamics of various prevalent diseases worldwide. The purpose of this investigation is to explore the early identification and treatment of conjunctivitis adenovirus by introducing vaccination methods for asymptomatic individuals. A mathematical model is constructed with the aim of strengthening the immune system. The ABC operator is then utilized to convert the model into a fractionally ordered one. The developed system is analyzed with analytical solutions by employing Sumudu transforms, including convergence analysis. The boundedness and uniqueness of the model are investigated using Banach space, which are key properties of such epidemic models. The uniqueness of the system is confirmed to ensure it has a unique solution. The stability of the newly constructed SEVIR system is investigated both qualitatively and statistically, and the system’s flip bifurcation has been verified. The developed system is examined through a Lyapunov function-based local and global stability study. The solution to the system is found using the Atangana-Toufik technique, a sophisticated method for reliable bounded solutions, employing various fractional values. Error analysis has also been conducted for the scheme. Simulations have been carried out to observe the real behavior and effects of the conjunctivitis virus, confirming that individuals with a strong immune response can recover without medication during the acute stage of infection. This helps to understand the real situation regarding the control of conjunctivitis adenovirus after early detection and treatment by introducing vaccination measures due to the strong immune response of the patients. Such investigations are useful for understanding the spread of the disease and for developing control strategies based on the justified outcomes.
为了研究该系统的动态,必须建立一个数学模型,以了解全球各种流行疾病的动态。本研究的目的是通过为无症状者引入疫苗接种方法,探索结膜炎腺病毒的早期识别和治疗方法。我们构建了一个数学模型,旨在加强免疫系统。然后利用 ABC 算子将模型转换为分数有序模型。利用 Sumudu 变换,包括收敛分析,对所开发的系统进行了分析。利用巴拿赫空间研究了模型的有界性和唯一性,这是此类流行病模型的关键属性。确认了系统的唯一性,以确保它有一个唯一的解。对新构建的 SEVIR 系统的稳定性进行了定性和统计研究,并验证了系统的翻转分岔。通过基于 Lyapunov 函数的局部和全局稳定性研究,对所开发的系统进行了检验。利用 Atangana-Toufik 技术找到了系统的解,这是一种利用各种分数值获得可靠有界解的复杂方法。还对该方案进行了误差分析。模拟观察了结膜炎病毒的真实行为和影响,证实免疫反应强的人在感染急性期无需药物治疗即可康复。这有助于了解结膜炎腺病毒的真实情况,即在早期发现和治疗后,由于患者的强免疫反应而引入疫苗接种措施。这些调查有助于了解疾病的传播情况,并根据合理的结果制定控制策略。
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引用次数: 0
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Physica Scripta
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