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Effect of lockdown due to COVID-19 on environmental pollutant: a comparative study between top three countries of the world COVID-19 导致的封锁对环境污染物的影响:世界前三位国家的比较研究
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-03 DOI: 10.1007/s12648-024-03323-z
Sanjay Kumar

Pandemic from Corona Virus Diseases 2019 (SARS-COVID-19) is a serious hazard to human health and life which is responsible for the significant economic losses across the world. Sometime it resulted into death of human being. Since environmental factors have significant effects on COVID-19 transmission, and vice-versa, therefore lockdown condition which is expected to reduce environmental pollution is an important step to affect COVID transmission through the environment. The associated ambient air pollutant: (O3), nitrogen dioxide (NO2), sulphur dioxide (SO2), and Carbon mono oxide (CO) are directly linked to enhance risk of stroke, heart disease, asthma, and lung cancer and are also affected by the number of cases of COVID-19. In order to have quantitative estimate and comparative study of these pollutants, aerosol optical depth (AOD), surface temperature, ozone, carbon mono oxide (CO) and nitrogen dioxide (NO2), aerosol size distribution over India, have been analysed during lock down period 01 March–30 June, 2020. The analysis of pollutants during lockdown period has been compared to 05 year mean value (2015–2019) estimated during the same period. The satellite based measurement of AOD from MODIS show a decrease in AOD during the lockdown period by 40% in Indian region as compared to 5-year mean level (2015–2019) whereas ground based AOD from AERONET reduced to 75% at Kanpur and 74% at Gandhi College in India. The drop in AOD observed during lockdown is a clear cut indication of reduced level of air pollution. Peak of aerosol size distribution over Kanpur and Gandhi College has also been analysed which show a reduction by 33–50% from the 05-year average level. Enhancement in total ozone column ~ 8% from average level is noticed during the lockdown period which is attributed to suppression in NO2 and CO concentration which is supposed to destroy the formation of ozone through chemical reactions. Influence of lockdown on concentration of environmental pollutants in Indian region has also been compared to top other two countries of the world: USA and Brazil. The pattern of day-to-day variation of COVID cases at India and Brazil is same whereas for USA patterns are significantly different. The comparative analysis of other pollutants between all the three countries has also been discussed and fall in temperature due to lockdown condition over USA is found larger than that over India and Brazil.

2019 年科罗娜病毒病大流行(SARS-COVID-19)严重危害人类健康和生命,给全世界造成重大经济损失。有时还会导致人类死亡。由于环境因素对 COVID-19 的传播有重大影响,反之亦然,因此,预计会减少环境污染的封锁条件是通过环境影响 COVID 传播的重要步骤。相关的环境空气污染物:臭氧(O3)、二氧化氮(NO2)、二氧化硫(SO2)和一氧化碳(CO)与中风、心脏病、哮喘和肺癌风险的增加直接相关,也受 COVID-19 病例数量的影响。为了对这些污染物进行定量估计和比较研究,我们对 2020 年 3 月 1 日至 6 月 30 日封锁期间印度上空的气溶胶光学深度(AOD)、地表温度、臭氧、一氧化碳(CO)和二氧化氮(NO2)、气溶胶粒径分布进行了分析。锁定期间的污染物分析与同期估算的 05 年平均值(2015-2019 年)进行了比较。基于 MODIS 卫星测量的 AOD 显示,与 5 年平均水平(2015-2019 年)相比,封锁期间印度地区的 AOD 下降了 40%,而基于 AERONET 的地面 AOD 在印度坎普尔下降了 75%,在甘地学院下降了 74%。在封锁期间观察到的 AOD 下降清楚地表明空气污染水平有所降低。对坎普尔和甘地学院上空的气溶胶粒径分布峰值也进行了分析,结果显示比 05 年平均水平减少了 33-50%。在封锁期间,总臭氧柱比平均水平增加了约 8%,这归因于二氧化氮和一氧化碳浓度的降低,而二氧化氮和一氧化碳会通过化学反应破坏臭氧的形成。封锁对印度地区环境污染物浓度的影响也与世界上其他两个国家进行了比较:美国和巴西。印度和巴西 COVID 案例的日变化模式相同,而美国的模式则明显不同。此外,还对这三个国家的其他污染物进行了比较分析,发现美国因封锁条件导致的气温下降幅度大于印度和巴西。
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引用次数: 0
Effects of constant and spatially varying higher-order dispersions on spatial solitons in $$mathcal{P}mathcal{T}$$ -symmetric optical media under the alternative complex potentials 替代复势下恒定和空间变化的高阶色散对 $$mathcal{P}mathcal{T}$ - 对称光学介质中空间孤子的影响
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s12648-024-03317-x
Boubakary Abdou, Fabien II Ndzana, Camus Gaston Latchio Tiofack, Alidou Mohamadou

Abstract

We investigated analytically and numerically the nonlinear Schrödinger (NLS) equation with constant and spatially varying third-order dispersion (TOD) in the alternative type of complex parity-time ((mathcal{P}mathcal{T}))-symmetric potentials. This equation describes the propagation of ultra-short pulses through the optical media, where the real part of the potential models the index guiding and the imaginary part the loss/gain distribution of light within optical material. For the constant TOD, the regions of stability/instability linear (mathcal{P}mathcal{T})-symmetric phases are numerically carried out. By means of the linear stability analysis and direct numerical simulation, the effects of interplay between constant TOD and (mathcal{P}mathcal{T})-symmetric potential on the stability of these solutions are also tested. It is found that the constant TOD can be used to control the stability of these solutions. For the spatially varying TOD, the additive terms of the (mathcal{P}mathcal{T})-symmetric potential are considered for the nonlinear model and the robustness of these solutions against noise is tested by means of the split-step Fourier beam technic. Moreover, the elastic interactions of the two spatial solitons are generated under the (mathcal{P}mathcal{T})-symmetric potential for the spatially varying TOD. The power and the transverse power-flow density are further examined. Results indicate that the spatially varying TOD does not yield any instability in the self-focusing nonlinear medium with the chosen parameters values.

Graphical Abstract

摘要 我们分析和数值研究了在另一种类型的复平分时间((mathcal{P}mathcal{T}))对称势中具有恒定和空间变化三阶色散(TOD)的非线性薛定谔(NLS)方程。该方程描述了超短脉冲在光学介质中的传播,其中电势的实部模拟了光学材料内部的折射率导向,虚部模拟了光的损耗/增益分布。对于恒定的 TOD,用数值方法计算了线性(mathcal{P}mathcal{T})对称相的稳定/不稳定区域。通过线性稳定性分析和直接数值模拟,还检验了恒定TOD和(mathcal{P}mathcal{T})-对称势之间的相互作用对这些解的稳定性的影响。结果发现,恒定的 TOD 可以用来控制这些解的稳定性。对于空间变化的 TOD,考虑了非线性模型的 (mathcal{P}mathcal{T}) - 对称势的加法项,并通过分步傅里叶波束技术测试了这些解对噪声的鲁棒性。此外,在空间变化的 TOD 的(mathcal{P}cal{T})-对称势下产生了两个空间孤子的弹性相互作用。进一步研究了功率和横向功率流密度。结果表明,在所选参数值下,空间变化 TOD 在自聚焦非线性介质中不会产生任何不稳定性。
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引用次数: 0
An investigation of the structural and optical properties of modified barium magnesium fluoroborate glasses with hafnium oxide (HfO2) 含氧化铪(HfO2)的改性氟硼酸钡镁玻璃的结构和光学特性研究
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s12648-024-03302-4
A. M. Abdelghany, M. S. Abdel Aal, R. Seoudi

Glasses of nominal composition xHfO2–(35-x)B2O3–15MgF2–35BaO, where x ranged from 0 to 0.2 mol% were fabricated using a melt-quenching technique. Structural characterization techniques, including X-ray diffraction (XRD), Fourier-transform infrared (FTIR) spectroscopy, and Raman spectroscopy, were employed to elucidate the glass network structure. The XRD patterns confirmed the amorphous nature of the studied glasses, while the FTIR and Raman spectra revealed that the incorporation of HfO2 may led to a transformation of trigonal BO3 units to tetrahedral BO4 units in the borate glass network. Deconvolution analysis of the FTIR and Raman bands provided quantitative insights into the extent of this structural rearrangement as a function of HfO2 content. UV–Vis absorption studies demonstrated that the optical bandgap of the glasses was widened with increasing HfO2 additions. This blue shift in the absorption edge was attributed to the increased formation of bridging oxygen bonds and reduced non-bridging oxygen content in the glass network. The results indicate that the studied glasses exhibit excellent compositional tunability through the incorporation of HfO2. The structural modifications and concomitant optical property enhancements suggest the potential of this glass system for various integrated photonic applications where low phonon energy and tailored transparency are highly desirable. The present work introduces a comprehensive investigation of the structural and optical property modifications in barium magnesium fluoroborate glasses induced by the addition of hafnium oxide (HfO2).

利用熔融淬火技术制造了标称成分为 xHfO2-(35-x)B2O3-15MgF2-35BaO 的玻璃,其中 x 为 0 至 0.2 摩尔%。结构表征技术包括 X 射线衍射 (XRD)、傅立叶变换红外光谱 (FTIR) 和拉曼光谱,用于阐明玻璃网络结构。X 射线衍射图证实了所研究玻璃的无定形性质,而傅立叶变换红外光谱和拉曼光谱则显示,HfO2 的加入可能导致硼酸盐玻璃网络中的三方 BO3 单元转变为四方 BO4 单元。傅立叶变换红外光谱和拉曼光谱带的解卷积分析提供了关于这种结构重排程度与 HfO2 含量函数关系的定量见解。紫外-可见吸收研究表明,玻璃的光带隙随着 HfO2 添加量的增加而变宽。这种吸收边的蓝移归因于玻璃网络中桥接氧键的形成增加和非桥接氧含量的减少。结果表明,通过加入 HfO2,所研究的玻璃表现出了极佳的成分可调性。结构的改变和随之而来的光学特性的增强表明,这种玻璃系统具有应用于各种集成光子应用的潜力,在这些应用中,低声子能量和定制的透明度是非常理想的。本研究对添加氧化铪(HfO2)引起的氟硼酸镁钡玻璃的结构和光学特性改变进行了全面研究。
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引用次数: 0
Study of thermo-optic and thermo-polarizability coefficients of ions in congruent LiNbO3 open-type optical waveguide using point dipole approximation 利用点偶极子近似研究全等铌酸锂开放式光波导中离子的热光学系数和热极化系数
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s12648-024-03072-z
Velagapudi Suhasini, I. V. Subbareddy, Pasunooti Manoher

The thermo-optic coefficients (TOCs), thermo-polarization coefficients (TPCs) and dn/dT, dα/dT of congruent lithium niobate LiNbO3 / LN (mole ratio Li/Nb = 0.946) are tested within the temperature range of 293–773 K at λ = 0.4358 µm, λ = 0.6328 µm and λ = 1.15232 µm employing the point dipole approximation. The refractive indices, no and ne, were first determined at these temperatures and wavelength ranges, by iterating the electronic polarizabilities of Nb5+ and O2+ ions. It has been found that the polarizability of Nb5+ ions drops and that of O2− ions increases when temperature rises for a particular wavelength. Both Nb5+ and O2− lose polarizability with increasing wavelength for a given temperature. TOCs for no and ne rise as the temperature rises. The TOC rises as wavelength for no and ne decreases. TPCs of O2− rise in ions and temperature causes Nb5+ ions to decrease. At a particular temperature, TPCs of O2−ions become less while Nb5+ ions grow as wavelengths rise. Generally, it is used in potential electronic polarizabilities and thermal refraction applications.

采用点偶极子近似法,在 293-773 K 温度范围内,在 λ = 0.4358 µm、λ = 0.6328 µm 和 λ = 1.15232 µm 处测试了同质铌酸锂 LiNbO3 / LN(摩尔比 Li/Nb = 0.946)的热光学系数 (TOC)、热极化系数 (TPC) 和 dn/dT、dα/dT。通过迭代 Nb5+ 和 O2+ 离子的电子极化率,首先确定了在这些温度和波长范围内的折射率 no 和 ne。研究发现,在特定波长下,当温度升高时,Nb5+ 离子的极化率会降低,而 O2- 离子的极化率会升高。在给定温度下,随着波长的增加,Nb5+ 和 O2- 都会失去极化性。随着温度的升高,no 和 ne 的总有机碳浓度也会升高。随着波长的减小,no 和 ne 的 TOC 也会上升。O2- 离子的 TPCs 上升,而温度会导致 Nb5+ 离子的 TPCs 下降。在特定温度下,随着波长的升高,O2- 离子的 TPCs 会变小,而 Nb5+ 离子会变大。一般用于潜在电子极化和热折射应用。
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引用次数: 0
Design prospect of CdTe solar cell using NW-CdS window layer and 3D graphene as back electrode from numerical approach 从数值方法看使用 NW-CdS 窗口层和 3D 石墨烯作为背电极的碲化镉太阳能电池的设计前景
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s12648-024-03293-2
Laxmi Vandana, Shrabani Guhathakurata, Gufran Ahmad, Sandipan Mallik

In this work, a new cadmium telluride (CdTe) photovoltaic structure has been developed to achieve a high-power conversion efficiency (η) at low cost for thin film photovoltaic. The blue spectrum is surprisingly restricted by the cadmium sulfide (CdS) window layer in the CdTe solar cell. Thus, to improve the shorter wavelength collections, we have replaced the planar CdS layer with nanowire CdS (NW-CdS) window layer. With this change, the quantum efficiency has significantly improved in a shorter wavelength range and the photocurrent has increased by more than 27% compared to the planar CdS device structure. Furthermore, a good back contact material with lower contact resistivity is also important to achieve maximum power conversion efficiency. To obtain an Ohmic, low-resistance contact, a 3D graphene layer has been used as a back contact. Using the SCAPS-1D simulation software, the newly proposed CdTe solar cell’s photovoltaic characteristics were thoroughly investigated. Our calibrated simulation results show that the suggested NW-CdS with graphene solar cell structure produce higher photocurrent density (JSC) and fill factor (FF). The power conversion efficiency (η) was found to be 14.58%, comparatively higher than the baseline CdTe solar cell efficiency (η = 9.04%).

这项研究开发了一种新型碲化镉(CdTe)光伏结构,以低成本实现薄膜光伏的高功率转换效率(η)。令人惊讶的是,蓝色光谱受到碲化镉太阳能电池中硫化镉(CdS)窗口层的限制。因此,为了改善短波长的收集,我们用纳米线 CdS(NW-CdS)窗口层取代了平面 CdS 层。与平面 CdS 器件结构相比,这一改变显著提高了较短波长范围内的量子效率,光电流也增加了 27% 以上。此外,具有较低接触电阻率的良好背接触材料对于实现最高功率转换效率也很重要。为了获得欧姆低电阻接触,三维石墨烯层被用作背接触。利用 SCAPS-1D 仿真软件,我们对新提出的碲化镉太阳能电池的光伏特性进行了深入研究。我们的校准模拟结果表明,建议的石墨烯 NW-CdS 太阳能电池结构能产生更高的光电流密度(JSC)和填充因子(FF)。功率转换效率(η)为 14.58%,高于基准碲化镉太阳能电池效率(η = 9.04%)。
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引用次数: 0
Condensation of ideal Dunkl–Bose gas in power-law traps 理想邓克尔-玻色气体在幂律陷阱中的凝结
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s12648-024-03311-3
A. Hocine, F. Merabtine, B. Hamil, B. C. Lütfüoğlu, M. Benarous

We study the phenomenon of Bose–Einstein condensation in two- and one-dimensional Dunkl–Boson gases confined within a power-law potential, employing the framework of Dunkl-deformed boson theory. Our investigation involves the calculation of particle numbers and phase transition temperatures using the Dunkl formalism. To assess the validity of our findings, we compare them with the corresponding results obtained from the standard approach. We find that the impact of the Dunkl formalism on the condensate fractions is similar in one- and two-dimensional cases. However, we see that this conclusion is not fully valid for the phase transition temperature.

我们利用邓克尔变形玻色子理论框架,研究了在幂律势能约束下的二维和一维邓克尔-玻色子气体中的玻色-爱因斯坦凝聚现象。我们的研究包括利用邓克尔形式主义计算粒子数和相变温度。为了评估我们研究结果的有效性,我们将其与标准方法得出的相应结果进行了比较。我们发现,在一维和二维情况下,邓克尔形式主义对凝聚态分数的影响是相似的。然而,我们发现这一结论并不完全适用于相变温度。
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引用次数: 0
Bursting patterns in a tri-stable oscillator under parametric excitations 参数激励下三稳振荡器的爆裂模式
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s12648-024-03310-4
Yue Zhou, Wen-An Jiang, Jin-Chao Cui

The motion of the tri-stable oscillator can be transferred between different equilibrium points to produce a large response, which is the desire of vibration energy harvesting technology. Therefore, the vibration of the tri-stable system has been a widespread concern. However, the mechanism of the system with parametric slow excitations has not been discovered. To study this issue, we treat a novel bursting pattern in a tri-stable oscillator under slow cosinoidal excitations. The complex dynamic behaviors of bursting oscillation under single and two frequencies are presented using the fast-slow analysis method, the one-parameter bifurcation diagrams are plotted, and the bifurcation patterns associated with independent loop and closed loop are observed. Furthermore, different types of bursting oscillations induced by subcritical pitchfork/fold bifurcations are presented, and jumping phenomena and hysteresis behaviors are displayed. Moreover, the stabilities of equilibrium of the independent and closed loop positions are checked by potential energy, and the transition of different equilibrium configurations is validated by introducing the transformed phase diagram. Finally, the attraction basin of each equilibrium point is estimated via cell mapping, and the multivalued response orbits are recognized.

三稳态振荡器的运动可以在不同的平衡点之间传递,从而产生较大的响应,这正是振动能量采集技术所期望的。因此,三稳态系统的振动问题一直受到广泛关注。然而,参数慢激振系统的机理尚未被发现。为了研究这个问题,我们处理了三稳振荡器在慢余弦激励下的新型猝发模式。利用快慢分析方法给出了单频和双频下猝发振荡的复杂动态行为,绘制了单参数分岔图,观察到了与独立环和闭环相关的分岔模式。此外,还呈现了由亚临界叉形/折形分岔诱发的不同类型的猝发振荡,并显示了跳跃现象和滞后行为。此外,还通过势能检验了独立和闭环位置的平衡稳定性,并通过引入转换相图验证了不同平衡构型的转换。最后,通过单元映射估计了每个平衡点的吸引盆地,并识别了多值响应轨道。
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引用次数: 0
Electronic circuit and image encryption for a new 3D nonuniformly conservative system 新型 3D 非均匀保守系统的电子电路和图像加密
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-01 DOI: 10.1007/s12648-024-03316-y
Karam N. Abdul-Kareem, Saad Fawzi Al-Azzawi

Introducing dynamical systems that involve a variable in the trace of the Jacobian matrix is a difficult challenge due to it is difficult to determine whether a system is dissipative or conservative. This paper introduces a new 3D chaotic nonuniformly conservative system with a variable in the trace of the Jacobian matrix through the Hamiltonian form. The proposed system is without equilibrium points (hidden attractors) and satisfies categories C and D. The system exhibits three distinct behaviors (chaotic, quasi-periodic, periodic) under the same parameters with varying initial conditions. The characteristics system are investigated through a combination of theoretical analysis and numerical simulations, including dissipative and conservative behavior, equilibrium points, bifurcation diagrams, Lyapunov exponents, and multistability. Finally, two applications are implemented: an electronic circuit and image encryption based on the proposed system. These outcomes substantiate the sufficiency and viability of this system, demonstrating its effective performance.

引入涉及雅各布矩阵迹变量的动力系统是一项艰巨的挑战,因为很难确定一个系统是耗散的还是保守的。本文通过哈密顿形式引入了一个新的三维混沌非均匀保守系统,该系统的雅各布矩阵迹中有一个变量。在相同参数和不同初始条件下,该系统表现出三种截然不同的行为(混沌、准周期和周期)。通过理论分析和数值模拟相结合的方法,对特征系统进行了研究,包括耗散和保守行为、平衡点、分岔图、Lyapunov 指数和多稳定性。最后,实现了两个应用:基于拟议系统的电子电路和图像加密。这些成果证明了该系统的充分性和可行性,展示了其有效的性能。
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引用次数: 0
Anomalous microrheology behaviour of dilute CuZnFe ferrofluids 稀铜锌铁铁流体的反常微流变行为
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-06-29 DOI: 10.1007/s12648-024-03177-5
Arkilang Challam, Nisha Gautam, Mahendar Nandikonda, M. S. Chuntukunnel, Ashok Vudayagiri, R. Singh

We report results of magnetoviscosity and magnetically induced changes in microstructural properties of a ferrofluid made of copper zinc ferrite (CuZnFe) nanoparticles. These measurements were performed by tracking thermal motion of a tracer particle and video microscopy, using a home-built microscope. It has been established that the nanoparticles align to form chain-like structures under influence of external magnetic field, which result in an anisotropy of properties in two different directions, and also a magnetic field dependency of the properties. Most ferrofluids show an isotropic nature in the absence of any external magnetic field and a field-dependent anisotropy in the presence of magnetic field. But the CuZnFe sample studied here shows an anomaly with an anisotropic behaviour even when field is zero. This is perhaps one of the first cases where such anomaly is observed. Upon application of magnetic field, the parallel and perpendicular evolve in two different trajectories. We present the measurement of viscosities, both parallel to and perpendicular to the applied field, and from therein derive microstructural properties such as elastic moduli and relaxation time. All measurements were taken at room temperature (300 K).

我们报告了由铜锌铁氧体(CuZnFe)纳米粒子制成的铁流体的磁粘度和磁诱导微观结构特性变化的结果。这些测量是通过跟踪示踪粒子的热运动和视频显微镜(使用自制显微镜)进行的。结果表明,在外加磁场的影响下,纳米粒子排列成链状结构,从而在两个不同的方向上产生各向异性的特性,而且这些特性还与磁场有关。大多数铁流体在没有任何外部磁场的情况下表现出各向同性,而在有磁场的情况下则表现出与磁场相关的各向异性。但本文研究的 CuZnFe 样品却显示出一种反常现象,即使在磁场为零时也具有各向异性。这也许是首次观察到这种异常现象。在施加磁场时,平行和垂直以两种不同的轨迹演变。我们介绍了平行于和垂直于外加磁场的粘度测量结果,并由此推导出弹性模量和弛豫时间等微观结构特性。所有测量均在室温(300 K)下进行。
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引用次数: 0
Numerical investigation of pine wilt disease using fractal–fractional operator 利用分形-分数算子对松树枯萎病进行数值研究
IF 2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-06-28 DOI: 10.1007/s12648-024-03298-x
Anil Kumar, Pawan Kumar Shaw, Sunil Kumar

This work investigates a conspicuous disease of pine trees known as pine wilt disease (PWD). This disease propagates through a pine wilt nematode, a microscopical ringworm that mainly contaminates the pine trees of the Pinus genus. Its development way comprises many stages. Pine trees impacted by PWD initially show yellow-colored leaves and then turn reddish brown after some time. The pine sawyer beetles act as conveyors that transfer the pine wilt nematode. The disease in the frame of the PWD model is studied with fractal–fractional (FF) derivatives in the context of Caputo and Caputo–Fabrizio (CF) derivatives under different fractional order ({partial_{1}}) and fractal dimension ({partial_{2}}) values. Here, the fundamental characteristics of the given model are discussed. The fixed point theory’s theoretical results are interpreted for existence and uniqueness, while Ulam–Hyres (UH) stability is also presented for the given model. Further, the Caputo and CF derivative-based numerical schemes are also displayed. After analyzing the numerical simulations, it is found that the FF operator is more capable of analyzing the PWD model.

这项工作研究的是松树的一种明显病害,即松树枯萎病(PWD)。这种疾病通过松材线虫传播,松材线虫是一种主要污染松属松树的微小癣菌。它的发展过程分为多个阶段。受 PWD 影响的松树最初叶片呈黄色,一段时间后会变成红褐色。松材线虫是松树枯萎病线虫的传播者。在 PWD 模型的框架下,在 Caputo 和 Caputo-Fabrizio(CF)导数的背景下,在不同的分数阶({partial_{1}})和分数维度({partial_{2}})值下,用分数-分数(FF)导数对该疾病进行了研究。这里讨论了给定模型的基本特征。解释了定点理论的理论结果的存在性和唯一性,同时还介绍了给定模型的乌拉姆-赫雷斯(UH)稳定性。此外,还展示了基于 Caputo 和 CF 导数的数值方案。经过数值模拟分析,发现 FF 算子更能分析 PWD 模型。
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引用次数: 0
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Indian Journal of Physics
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