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Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schr?dinger equation

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Communications in Theoretical Physics 2024年第3期76卷 33-41页

作者： Si-Jia Chen Xing Lü College of Science Tianjin University of TechnologyTianjin 300384People's Republic of China department of mathematics Beijing Jiaotong UniversityBeijing 100044People's Republic of China Beijing Laboratory of National economic Security Early-warning Engineering Beijing Jiaotong UniversityBeijing 100044People's Republic of China

Based on the long wave limit method,the general form of the second-order and third-order rogue wave solutions to the focusing nonlinear Schr?dinger equation are given by introducing some arbitrary *** interaction solutions between the first-order rogue wave and one-breather wave are constructed by taking a long wave limit on the two-breather *** applying the same method to the three-breather solutions,two types of interaction solutions are obtained,namely the first-order rogue wave and two breather waves,the second-order rogue wave and one-breather wave,*** influence of the parameters related to the phase on the interaction phenomena is graphically *** occur among the rogue waves and breather *** the collisions,the shape of them remains *** abundant interaction phenomena in this paper will contribute to a better understanding of the propagation and control of nonlinear waves.

关键词： nonlinear Schrodinger equation rogue wave solutions interaction solutions

Comprehensive Dynamics of Banking: A Systemic Approach Incorporating Lending, Investment, and Capital Variables

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Journal of Systems Science and Information 2024年

作者： Gulnaz ABDUKADYROVA Adilia TABYSHOVA Minara NAZEKOVA Jyldyz ALYMBAEVA Cholpon TOKTOSUNOVA department of Banking and the Securities Market Musa Ryskulbekov Kyrgyz Economic University department of Finance and Financial Technologies named after S.A.Sulaymanbekov Musa Ryskulbekov Kyrgyz Economic University

The research topic related to the analysis of banking activity is relevant since the banking sector is complex and dynamic and requires constant monitoring and analysis to make informed decisions. Using a mathematical model of system dynamics to analyse banking activities can help banks make better decisions, manage risk, ensure the stability and efficiency of operations, and adapt to changing conditions. The purpose of the study is to determine the influence of various factors, in particular economic activity, on the final profit of the bank. Among the methods used, the analytical method, the functional method, the system analysis method, the deduction method, the synthesis method, and the comparison method were applied. In the course of this study, an extensive analytical review of banking activities was carried out using a system dynamics model, taking into account the requirements of the International Financial Reporting Standards(IFRS 9). The study included various scenario analyses to explore the impact of changes in economic conditions on the bank’s loan portfolio,risk level, and profitability. Both economic growth scenarios and recession scenarios were considered in order to more fully assess their impact on the financial condition of the bank. A forecast and analysis of the risks associated with lending, investments, and other bank operations was carried out. The practical significance lies in the application of the results obtained to address issues related to banking in order to increase the efficiency of this process and achieve a new level of development.

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Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

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Communications in Theoretical Physics 2024年第3期76卷 1-14页

作者： Salah Boulaaras Rashid Jan Amin Khan Ali Allahem Imtiaz Ahmad Salma Bahramand department of mathematics College of ScienceQassim UniversityBuraydah51452Saudi Arabia Institute of Energy Infrastructure(IEI) Department of Civil EngineeringCollege of EngineeringUniversiti Tenaga Nasional(UNITEN)Putrajaya CampusJalan IKRAM-UNITEN43000 KajangSelangorMalaysia department of mathematics University of SwabiSwabi 23561Pakistan department of mathematics College of SciencesQassim UniversitySaudi Arabia Institute of Informatics and Computing in Energy(IICE) Universiti Tenaga NasionalKajangSelangorMalaysia department of Political Science Bacha Khan University CharsaddaCharsadda 24420KPK Pakistan

In the last forty years,the rise of HIV has undoubtedly become a major concern in the field of public health,imposing significant economic burdens on affected ***,it becomes imperative to undertake comprehensive investigations into the mechanisms governing the dissemination of HIV within the human *** this work,we have devised a mathematical model that elucidates the intricate interplay between CD4^(+)T-cells and viruses of HIV,employing the principles of fractional *** production rate of CD4^(+)T-cells,like other immune cells depends on certain factors such as age,health status,and the presence of infections or ***,we incorporate a variable source term in the dynamics of HIV infection with a saturated incidence rate to enhance the precision of our *** introduce the fundamental concepts of fractional operators as a means of scrutinizing the proposed HIV *** facilitate a deeper understanding of our system,we present an iterative scheme that elucidates the trajectories of the solution pathways of the *** show the time series analysis of our model through numerical findings to conceptualize and understand the key factors of the *** addition to this,we present the phase portrait and the oscillatory behavior of the system with the variation of different input *** information can be utilized to predict the long-term behavior of the system,including whether it will converge to a steady state or exhibit periodic or chaotic oscillations.

关键词： HIV infection fractional-calculus dynamics of HIV iterative scheme dynamical behaviour mathematical model fractional derivatives

Multi-objective optimal control of tungiasis diseases with terminal demands

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International Journal of Biomathematics 2024年第3期17卷 123-151页

作者： Wei Lv Si-Ting Zhang Lei Wang department of mathematics Shanghai University Shanghai200444P.R.China Key Laboratory for Computational mathematics and Data Intelligence of Liaoning Province Dalian University of Technology Dalian 116024P.R.China department of mathematics School of Science Shihezi UniversityShihezi 832003P.R.China

In this paper,we aim to minimize the epidemic size of tungiasis disease and economic costs simultaneously,with terminal demands for infected humans.A human-jigger parasite control system with four control schemes for humans and jiggers is *** propose a multi-objective optimal control problem with terminal constraints,in which the accumulated number of infected humans and control costs are *** applying the modified normal boundary intersection algorithm and the interior point scheme,numerical simulations for different combinations of control schemes are carried out,and actual data in Madagascar are *** combination schemes are indicated from the perspectives of disease eradication,cost saving and time *** these effective combinations are properly performed,the disease can be *** only minimizing the epidemic size,the combination of the optimal treatments and adulticiding efforts is the best choice in the rainy season;the combination of the optimal personal protections and treatments is the preferential option in the dry *** only minimizing the economical cost,the combination of the optimal adulticide and larvicide is the better selection in the rainy season;the combination of the optimal personal protections,treatments and adulticiding efforts is the prior choose in the dry ***,there is a trade-off between the two objectives for all the effective combinations,decision-makers may choose an appropriate one to control the disease.

关键词： Multi-objective optimal control terminal demand control combination tun-giasis disease

Risk Assessment for Hybrid AC/DC Systems Based on Transient Energy Function

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CSEE Journal of Power and Energy Systems 2024年第4期10卷 1654-1663页

作者： Peng Sun Yun Teng Mingli Zhang Zhe Chen Shenyang University of Technology Shenyang 110870China Liaoning Electric Power Co.Ltd.economic Research Institute Shenyang 110000China department of Energy Technology Aalborg UniversityAalborgDK DK 9220

In order to accurately assess the risk of the hybrid AC/DC network under fault,a risk assessment method for the hybrid AC/DC system based on the transient energy function is ***,based on the energy transfer relationship of the hybrid AC/DC power system,the transient energy function model of the hybrid AC/DC system is *** on the operating data of the power grid,the energy function is used as an efficiency variable,and the efficiency variable is integrated into the prior risk probability calculation of nodes in the network,and a Bayesian network-based risk assessment model of hybrid AC/DC system is *** the dynamic update model of network cascading failures,the clique tree propagation algorithm is used to dynamically calculate the posterior risk probability of the node to realize the dynamic assessment of the network ***,the improved IEEE-39 node hybrid AC/DC system is used as an example for *** results show that the proposed model can not only effectively evaluate the overall safety of the network,but also has feasibility in predicting faults,which can provide a theoretical basis for the stability control of the hybrid AC/DC system.

关键词： Cascading failure energy function hybrid AC-DC system risk assessment

Method for passivation of propellant residues in orbital stage tank of launch vehicle

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Chinese Journal of Aeronautics 2024年第1期37卷 64-76页

作者： Valeriy TRUSHLYAKOV Ivan LESNYAK Alexey PANICHKIN department of Aviation and Rocket Building Omsk State Technical UniversityOmsk 644050Russia Sobolev Institute of mathematics of the Siberian Branch of Russian Academy of Sciences Novosibirsk 630090Russia

The problem of removing unused liquid propellant residues from the tanks of spent spacecraft and orbital stages of Launch Vehicles(LV)leads to their explosion and the formation of space debris in *** provide a solution to this problem,a method for removing liquid propellant residues from the LV tanks after the mission completion is *** method is based on the gasification of liquid propellant residues in the tanks under acoustic-vacuum exposure and the discharge of the gasification products into the surrounding outer *** investigations were carried out on a Ground-based Experimental Installation(GEI)to determine the coefficient of heat transfer from the surface of an acoustic radiator to a *** obtained coefficient was then used to calculate the energy costs for the gasification of *** estimates are given on the example of the tank with kerosene residues from a spent second stage of the LV“Soyuz-2.1 v”.The optimal discharge rate at which kerosene does not freeze is 0.14 m^(3)/***,the acoustic exposure leads to an increase in the mass of evaporated kerosene over a given time by96.1%,and the energy costs are 1756.7 kJ(approximately 50% of the remaining electrical energy).

关键词： Propellant Weightlessness Liquid evaporation Heat and mass transfer Acoustics Vacuum Vapor bubbles

Approximation by Convolution Translation Networks on Conic Domains

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Acta Mathematica Sinica,English Series 2024年

作者： Bao Huai SHENG Dao Hong XIANG department of economic Statistics School of International BusinessZhejiang Yuexiu University School of of Mathematical Sciences Zhejiang Normal University Jinhua

We give investigations on the approximation order of translation networks produced by the convolution translation operators defined on a Jacobi cone and the surface cone. We deal with the convolution translation from the view of Fourier analysis, express the translation operator with orthogonal basis and provide a sufficient condition to ensure the density for the translation *** on these facts, we construct with the near best approximation operator and the Gauss integral formula two kinds of translation network operators and show their approximation orders in the best polynomial approximation.

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Partition-based Network Equivalent Method for Power System Subsynchronous Oscillation Analysis

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Journal of Modern Power Systems and Clean Energy 2024年第1期12卷 313-320页

作者： Chenxuan Wang Weimin Zheng Zhen Wang Yangqing Dan Ping Ju the department of Electrical Engineering Zhejiang UniversityHangzhou 310027China the economic Research Institute of State Grid Zhejiang Electric Power Co. Ltd.Hangzhou 310016China the College of Energy and Electrical Engineering Hohai UniverstiyNanjing 211100China

Given large-scale modern power systems with pow er electronic converters,the numerical simulation with subsyn chronous oscillation(SSO)faces great challenges in engineering practice due to sharply enlarged modeling scale and high com putational *** reduce the modeling scale,network parti tion and equivalent becomes a vital technique in numerical sim *** several methods have been developed for net work equivalent,a generally accepted rule for network parti tion is still *** paper proposes that the system can be partitioned into three parts,i.e.,the internal,the middle,and the external subsystems,in which the internal subsystem consists of all power electronic components,the middle subsys tem includes those selected AC dynamic components with de tailed models,and the remaining components and buses consti tute the external *** external subsystem is further represented by an equivalent RLC network determined by the frequency dependent network equivalent(FDNE)*** the proposed method,the observability index and the electrical distance index are used to identify the interface between the middle and the external *** studies based on a modified Hydro-Quebec system are used to verify the effective ness of the proposed method.

关键词： Electrical distance network equivalent subsyn chronous oscillation observability index

Identifying Malaria Hotspots Regions in Ghana Using Bayesian Spatial and Spatiotemporal Models

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Infectious Diseases & Immunity 2024年第2期4卷 69-78页

作者： Abdul-Karim Iddrisu Dominic Otoo Gordon Hinneh Yakubu Dekongmene Kanyiri Kanimam Yaaba Samuel Cecilia Kubio Francis Balungnaa Dhari Veriegh department of mathematics and Statistics University of Energy and Natural ResourcesSunyani 233Ghana department of Statistical Service Ghana Statistical ServiceBono RegionSunyani 233Ghana department of mathematics and ICT Gambaga College of EducationSunyani 233Ghana Human Resources Division University of Energy and Natural ResourcesSunyani 233Ghana department of Biological Science University of Energy and Natural ResourcesSunyani 233Ghana.

Background:Malaria remains a significant public health concern in Ghana,with varying risk levels across different geographical *** affects millions of people each year and imposes a substantial burden on the health care system and *** risk estimation and mapping are crucial for effectively allocating resources and implementing targeted interventions to identify regions with disease *** study aimed to identify regions exhibiting elevated malaria risk so that public health interventions can be implemented,and to identify malaria risk predictors that can be controlled as part of public health interventions for malaria ***:The data on laboratory-confirmed malaria cases from 2015 to 2021 were obtained from the Ghana Health Service and Ghana Statistical *** studied the spatial and spatiotemporal patterns of the relative risk of malaria using Bayesian spatial and spatiotemporal *** malaria risk for each region was mapped to visually identify regions with malaria *** and heterogeneity of disease risks were established using correlated and uncorrelated structures via the conditional autoregressive and Gaussian models,*** estimates from the marginal posterior distribution were estimated within the Integrated Nested Laplace Approximation using the R ***:The spatial model indicated an increased risk of malaria in the North East,Bono East,Ahafo,Central,Upper West,Brong Ahafo,Ashanti,and Eastern *** spatiotemporal model results highlighted an elevated malaria risk in the North East,Upper West,Upper East,Savannah,Bono East,Central,Bono,and Ahafo *** spatial and spatiotemporal models identified the North East,Upper West,Bono East,Central,and Ahafo Regions as hotspots for malaria *** variations in risk were evident across regions(H=104.9,Peconomic factors influenced malaria infection,statistical significance was not

关键词： Malaria Disease hotspot Bayesian modeling Conditional auto-regressive Integrated Nested Laplace Approximation Spatial and spatiotemporal models