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A tuberculosis model with three infected classes 有三个感染等级的结核病模型
Pub Date : 2024-02-13 DOI: 10.46481/jnsps.2024.1881
A. Sangotola, S. B. Adeyemo, O. A. Nuga, A. E. Adeniji, A. J. Adigun
The dynamics of tuberculosis within a population cannot be adequately represented by a single infectious class. Therefore, this study develops a compartmental model encompassing latent, active, and drug-resistant populations to better capture tuberculosis dynamics in a community. Model analysis reveals that the disease-free equilibrium point is locally asymptotically stable when the basic reproduction number is below one. Moreover, the use of a suitable Lyapunov function demonstrates global asymptotic stability of the disease-free equilibrium point. An endemic equilibrium emerges when the basic reproduction number exceeds one. Sensitivity analysis is conducted for each parameter associated with the basic reproduction number, and optimal control analysis is employed to assess the impact of various control strategies on disease containment. Numerical simulations are conducted to supplement theoretical findings, illustrating the practical implications of the proposed control strategies.
结核病在人群中的动态变化无法用单一的传染类别来充分体现。因此,本研究建立了一个包含潜伏人群、活动人群和耐药人群的分区模型,以更好地捕捉社区中的结核病动态。模型分析表明,当基本繁殖数低于 1 时,无病平衡点是局部渐近稳定的。此外,使用合适的 Lyapunov 函数可以证明无病平衡点的全局渐近稳定性。当基本繁殖数超过 1 时,就会出现地方病平衡。对与基本繁殖数相关的每个参数进行了敏感性分析,并采用最优控制分析来评估各种控制策略对疾病控制的影响。为补充理论研究结果,还进行了数值模拟,以说明拟议控制策略的实际影响。
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引用次数: 0
Differential and fuzzy differential sandwich theorems involving quantum calculus operators 涉及量子微积分算子的微分和模糊微分夹层定理
Pub Date : 2024-01-19 DOI: 10.46481/jnsps.2024.1832
I. R. Silviya, K. Muthunagai
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point. The subordination, when spoken in fuzzy set theory, becomes fuzzy subordination as the comparison between two holomorphic functions is made using the fuzzy membership function. In this article, differential and fuzzy differential Subordination, superordination, and sandwich theorems have been discussed for the classes defined by using q-derivative and symmetric q-derivative operators.
当一个全形函数的范围是另一个全形函数的子集,并且它们在一个点上符合时,隶属度原理就可以用来比较两个全形函数。用模糊集合论来表述隶属度时,就变成了模糊隶属度,因为两个全同函数之间的比较是用模糊成员函数来进行的。本文讨论了使用 q 衍和对称 q 衍算子定义的类的微分和模糊微分从属性、超从属性和三明治定理。
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引用次数: 0
A DFT study of the optoelectronic properties of B and Be-doped Graphene 关于 B 和掺杂 B 的石墨烯光电特性的 DFT 研究
Pub Date : 2024-01-01 DOI: 10.46481/jnsps.2024.1730
L. O. Agbolade, A. K. Y. Dafhalla, D. M. I. Zayan, T. Adam, A. Chik, A. A. Adewale, S. C. B. Gopinath, U. Hashim
The electronic and optical properties of Boron (B) and Beryllium (Be)-doped graphene were determined using the ab initio approach based on the generalized gradient approximations within the Full potential linearized Augmented Plane wave formalism (FP-LAPW) formalism. Our findings demonstrated that doping at the edges of graphene is notably stable. In both systems, Be-doped graphene proves more efficient in manipulating the band gap of graphene. Both B and Be induce P-type doping in graphene. B-doped graphene exhibits a negligible magnetic moment of 0.000742, suggesting its suitability for catalytic semiconductor devices. Conversely, Be-doped graphene displays a large magnetic moment of 1.045 µB indicating its potential in spintronics. Additionally, this study elucidates the influence of the dielectric matrices on the optical properties of graphene. These findings underscore a stable and controllable method for modelling graphene at its edges with B and Be atoms, opening new avenues for designing of these devices.
我们采用基于全电势线性化增强平面波形式主义(FP-LAPW)中广义梯度近似的 ab initio 方法,测定了掺杂硼(B)和掺杂铍(Be)的石墨烯的电子和光学特性。我们的研究结果表明,石墨烯边缘的掺杂具有显著的稳定性。在这两个系统中,掺杂铍的石墨烯在操纵石墨烯带隙方面更有效。硼和铍都能诱导石墨烯中的 P 型掺杂。掺杂 B 的石墨烯的磁矩为 0.000742,可以忽略不计,这表明它适用于催化半导体器件。相反,掺杂铍的石墨烯显示出 1.045 µB 的大磁矩,表明其具有自旋电子学的潜力。此外,这项研究还阐明了介电基质对石墨烯光学特性的影响。这些发现强调了在石墨烯边缘用 B 原子和 Be 原子建模的稳定可控方法,为设计这些器件开辟了新途径。
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引用次数: 0
Approximate analytical solution of fractional-order generalized integro-differential equations via fractional derivative of shifted Vieta-Lucas polynomial 通过移位 Vieta-Lucas 多项式的分数导数近似解析解分数阶广义积分微分方程
Pub Date : 2024-01-01 DOI: 10.46481/jnsps.2024.1821
Kazeem Issa, Risikat A. Bello, Usman Jos Abubakar
In this paper, we extend fractional-order derivative for the shifted Vieta-Lucas polynomial to generalized-fractional integro-differential equations involving non-local boundary conditions using Galerkin method as transformation technique and obtained N - delta + 1 system of linear algebraic equations with lambda i, i = 0, . . . , N unknowns, together with delta non-local boundary conditions, we obtained (N + 1)- linear equations. The accuracy and effectiveness of the scheme was tested on some selected problems from the literature. Judging from the table of results and figures, we observed that the approximate solution corresponding to the problem that has exact solution in polynomial form gives a closed form solution while problem with non-polynomial exact solution gives better accuracy compared to the existing results.
本文使用 Galerkin 方法作为转换技术,将移位 Vieta-Lucas 多项式的分数阶导数扩展到涉及非局部边界条件的广义分数积分微分方程,得到了 N - delta + 1 个线性代数方程系统,其中 lambda i, i = 0, ., N 个未知数,再加上 delta 非局部边界条件,我们得到了 (N + 1)- 个线性方程。我们从文献中选取了一些问题来检验该方案的准确性和有效性。从结果表和图中可以看出,与有多项式精确解的问题相对应的近似解给出了闭式解,而与现有结果相比,有非多项式精确解的问题给出了更好的精度。
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引用次数: 0
Carbon (IV) oxide adsorption efficiency of functionalized HKUST-1, IRMF-1, and UiO-66 metal organic frameworks 功能化 HKUST-1、IRMF-1 和 UiO-66 金属有机框架的氧化碳 (IV) 吸附效率
Pub Date : 2024-01-01 DOI: 10.46481/jnsps.2024.1673
Abdullahi Moyosore, Haslina Ahmad, Muhammad Alif, Muhammad Latif, Yousefzadeh Borzehandani, Mohd Basyaruddin AbdulRahman, Emilia Abdelmalek
The ever-increasing consumption of fossil fuels to meet up with the global economic and industrial energy needs has led to climatic change due to uncontrollable emission of a major greenhouse gas (CO2). As a way of mitigating the amount of CO2 in the atmosphere, search for effective and efficient solid adsorbent has been at the front burner of current scientific research. A class of solid adsorbent known as metal organic frameworks (MOFs) have demonstrated immense potentials for CO2 adsorption due to its porous, high thermal and chemical stability, high versatility and ease of production. Upon functionalization, the adsorption efficiency of this class of materials was found to improve tremendously. In this review, the CO2 capture and sequestration potentials of three MOFs (UiO-66, HKUST-1, and MOF-5) and their composites were investigated in the search for economical, stable, and highly selective novel adsorbents for CO2 adsorption.
为满足全球经济和工业能源需求,化石燃料的消耗量不断增加,导致主要温室气体(二氧化碳)的排放失控,进而引发气候变化。为了减少大气中的二氧化碳含量,寻找有效和高效的固体吸附剂已成为当前科学研究的首要任务。被称为金属有机框架(MOFs)的一类固体吸附剂因其多孔性、高热稳定性和化学稳定性、多功能性和易生产性,在二氧化碳吸附方面展现出巨大的潜力。在功能化之后,这一类材料的吸附效率大大提高。本综述研究了三种 MOFs(UiO-66、HKUST-1 和 MOF-5)及其复合材料的二氧化碳捕集和封存潜力,以寻找经济、稳定和高选择性的新型二氧化碳吸附剂。
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引用次数: 0
Fractional-order modeling of visceral leishmaniasis disease transmission dynamics : strategies in eastern Sudan 内脏利什曼病疾病传播动态的分数阶建模:苏丹东部的策略
Pub Date : 2023-11-30 DOI: 10.46481/jnsps.2023.1693
Ghada A. Ahmed
Fractional calculus has become an increasingly important tool for biological process modeling. In this study, we propose a novel fractional-order model that is used to analyze visceral leishmaniase (VL) transmission dynamics, incorporating the effects of interventions. By fitting the model to 22 years of cumulative VL cases, we estimate intervention effectiveness and key parameters. Our results show a high disease prevalence, with reported cases accounting for less than 20% of all infections. Both human and vector control measures show limited effectiveness. Future projections point to a further increase in cumulative cases.
分数微积分已成为一种日益重要的生物过程建模工具。在本研究中,我们提出了一种新的分数阶模型,用于分析内脏利什曼病(VL)的传播动态,并将干预措施的效果纳入其中。通过对 22 年的累积 VL 病例进行模型拟合,我们估算了干预效果和关键参数。我们的研究结果表明,该病的流行率很高,报告病例占所有感染病例的比例不到 20%。人类和病媒控制措施的效果有限。未来的预测表明,累积病例还会进一步增加。
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引用次数: 0
Robust hybrid algorithms for regularization and variable selection in QSAR studies 用于 QSAR 研究中正则化和变量选择的稳健混合算法
Pub Date : 2023-11-28 DOI: 10.46481/jnsps.2023.1708
Christian N. Nwaeme, A. F. Lukman
This study introduces a robust hybrid sparse learning approach for regularization and variable selection. This approach comprises two distinct steps. In the initial step, we segment the original dataset into separate training and test sets and standardize the training data using its mean and standard deviation. We then employ either the LASSO or sparse LTS algorithm to analyze the training set, facilitating the selection of variables with non-zero coefficients as essential features for the new dataset. Secondly, the new dataset is divided into training and test sets. The training set is further divided into k folds and evaluated using a combination of Random Forest, Ridge, Lasso, and Support Vector Regression machine learning algorithms. We introduce novel hybrid methods and juxtapose their performance against existing techniques. To validate the efficacy of our proposed methods, we conduct a comprehensive simulation study and apply them to a real-life QSAR analysis. The findings unequivocally demonstrate the superior performance of our proposed estimator, with particular distinction accorded to SLTS+LASSO. In summary, the twostep robust hybrid sparse learning approach offers an effective regularization and variable selection applicable to a wide spectrum of real-world problems.
本研究介绍了一种用于正则化和变量选择的稳健混合稀疏学习方法。这种方法包括两个不同的步骤。第一步,我们将原始数据集分割成独立的训练集和测试集,并使用平均值和标准差对训练数据进行标准化。然后,我们采用 LASSO 或稀疏 LTS 算法对训练集进行分析,以便选择系数不为零的变量作为新数据集的基本特征。其次,将新数据集分为训练集和测试集。训练集进一步分为 k 个褶皱,并使用随机森林、Ridge、Lasso 和支持向量回归等机器学习算法组合进行评估。我们引入了新颖的混合方法,并将其性能与现有技术进行对比。为了验证我们提出的方法的有效性,我们进行了全面的模拟研究,并将其应用到实际的 QSAR 分析中。研究结果毫不含糊地证明了我们所提出的估计器的卓越性能,其中 SLTS+LASSO 尤为突出。总之,两步稳健混合稀疏学习方法提供了有效的正则化和变量选择,适用于广泛的实际问题。
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引用次数: 0
A class of single-step hybrid block methods with equally spaced points for general third-order ordinary differential equations 一般三阶常微分方程的一类等间距点单步混合分块法
Pub Date : 2023-11-28 DOI: 10.46481/jnsps.2023.1484
M. Orakwelu, O. Otegbeye, Hermane Mambili-mamboundou
This study presents a class of single-step, self-starting hybrid block methods for directly solving general third-order ordinary differential equations (ODEs) without reduction to first order equations. The methods are developed through interpolation and collocation at systematically selected evenly spaced nodes with the aim of boosting the accuracy of the methods. The zero stability, consistency and convergence of the algorithms are established. Scalar and systems of linear and nonlinear ODEs are approximated to test the effectiveness of the schemes, and the results obtained are compared against other methods from the literature. Significantly, the study shows that an increase in the number of intra-step points improves the accuracy of the solutions obtained using the proposed methods.
本研究提出了一类单步自启动混合分块方法,用于直接求解一般三阶常微分方程(ODE),而无需还原为一阶方程。这些方法是通过在系统选择的均匀分布节点上进行插值和配位而开发的,目的是提高方法的精度。建立了算法的零稳定性、一致性和收敛性。对线性和非线性 ODEs 的标量和系统进行了近似,以检验方案的有效性,并将所得结果与文献中的其他方法进行了比较。值得注意的是,研究表明,增加步内点的数量可以提高使用所提方法求解的精度。
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引用次数: 0
Typhoid fever dynamical model with cost-effective optimalcontrol 具有成本效益优化控制的伤寒动态模型
Pub Date : 2023-11-28 DOI: 10.46481/jnsps.2023.1579
Kazeem A. Tijani, C. E. Madubueze, R. I. Gweryina
Typhoid fever is a highly communicable and infectious disease that can be fatal and causes severe complications if unattended to timely. The infection, at times, can be more complex, challenging, and impossible to treat as antibiotics become less effective. Hence, the effect of limited clinical efficacy of the antibiotics with corresponding relapse response to treatment on infected humans is considered in this paper by formulating a deterministic model for direct and indirect transmission mode of Typhoid infection. The basic reproduction number is analytically derived and used to implement the global sensitivity analysis. Following the sensitivity analysis result, the optimal control analysis is carried out and simulated numerically with four controls: sanitation and hygiene practice and awareness campaign control, sterilisation and disinfection control, the potency of antibiotics control and screening control. Finally, the cost-effectiveness analysis for infected and susceptible humans with four cases that compared fifteen strategies is analysed. The results indicate that the sanitation and hygiene practice and awareness campaign is good to implement for single control implementation, while for double control implementation, Strategy 6, which is the combination of Strategy 1 and the potency of antibiotics administered to typhoid patients, is the best to consider. Combining Strategy 6 and screening control is the most cost-effective for triple controls. Furthermore, the overall computation of cost-effectiveness among all the most cost-effective with all the controls combined suggests that sanitation and hygiene practice and awareness campaign is the most cost-effective strategy to implement for eradicating typhoid infection in the population and for preventing susceptible populations from contracting the bacteria.
伤寒是一种传染性极强的传染病,如果不及时处理,可能会致命并引起严重的并发症。随着抗生素疗效的降低,这种感染有时会变得更加复杂、更具挑战性,甚至无法治疗。因此,本文通过建立伤寒直接和间接传播模式的确定性模型,考虑了抗生素临床疗效有限以及相应的治疗复发反应对受感染人类的影响。通过分析得出了基本繁殖数,并利用该繁殖数进行了全局敏感性分析。根据敏感性分析结果,进行了最优控制分析,并对四种控制措施进行了数值模拟:环境卫生和个人卫生习惯及宣传活动控制、灭菌和消毒控制、抗生素效力控制和筛查控制。最后,对四种情况下感染者和易感者的成本效益分析进行了分析,比较了 15 种策略。结果表明,在实施单一控制时,环境卫生和个人卫生习惯以及宣传活动是很好的选择;而在实施双重控制时,策略 6,即策略 1 和伤寒患者抗生素效力的组合,是最好的选择。在实施三重控制时,将策略 6 与筛查控制相结合最具成本效益。此外,在所有最具成本效益的控制措施中,综合计算的成本效益表明,要根除人群中的伤寒感染并防止易感人群感染该细菌,环境卫生和个人卫生做法以及宣传活动是最具成本效益的策略。
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引用次数: 0
Hyper-parameter tuning for support vector machine using an improved cat swarm optimization algorithm 基于改进cat群优化算法的支持向量机超参数整定
Pub Date : 2023-09-08 DOI: 10.46481/jnsps.2023.1007
Silifat Adaramaja Abdulraheem, Salisu Aliyu, Fatima Binta Abdullahi
Support vector machine (SVM) is a supervised machine learning algorithm for classification and regression problems. SVM performs better when combined with other classifiers or optimized with an optimization algorithm. The SVM parameters such as kernel and penalty have good performance on the classification accuracy. Recently, a lot of evolutionary optimization algorithms were used for optimizing the SVM. In this paper, an Improved Cat Swarm Optimization (ICSO) was proposed for optimizing the parameters of SVM with the aim of enhancing its performance. CSOs have the problem of a low convergence rate and are easily trapped in local optima. To address this problem, a new parameter was added to the velocity for the tracing mode and the Opposition-Based Learning (OBL) technique was used to modify the CSO algorithm (ICSO-SVM). A new parameter was introduced to guide the cats’ positions to the local and global best positions in the velocity tracing mode of the CSO algorithm. The proposed algorithm was verified using 15 datasets from the University of California Irvine (UCI) data repository and also six different performance metrics were used. The experimental results clearly indicate that the proposed method performs better than the other state-of-the-art methods.
支持向量机(SVM)是一种用于分类和回归问题的监督式机器学习算法。当SVM与其他分类器结合使用或使用优化算法进行优化时,SVM的性能会更好。核和惩罚等支持向量机参数对分类精度有较好的影响。近年来,许多进化优化算法被用于优化支持向量机。为了提高支持向量机的性能,提出了一种改进的Cat群算法(ICSO)来优化支持向量机的参数。cso存在收敛速度慢、易陷入局部最优的问题。为了解决这一问题,在跟踪模式的速度中增加了一个新的参数,并利用基于对立的学习(OBL)技术对CSO算法(ICSO-SVM)进行了改进。在CSO算法的速度跟踪模式下,引入了一个新的参数来引导猫的位置到局部和全局最优位置。使用来自加州大学欧文分校(UCI)数据存储库的15个数据集验证了所提出的算法,并使用了6种不同的性能指标。实验结果清楚地表明,所提出的方法比现有的方法具有更好的性能。
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引用次数: 0
期刊
Journal of the Nigerian Society of Physical Sciences
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