Asian Research Journal of Mathematics最新文献_第4页

Mathematical Modelling of Human Papillomavirus (HPV) Dynamics with Vaccination Incorporating Optimal Control Analysis 结合最优控制分析的人乳头瘤病毒(HPV)接种动力学数学模型

Asian Research Journal of Mathematics Pub Date : 2023-10-16 DOI: 10.9734/arjom/2023/v19i11751

Fednant O. Okware, Samuel B. Apima, Amos O. Wanjara

{"title":"Mathematical Modelling of Human Papillomavirus (HPV) Dynamics with Vaccination Incorporating Optimal Control Analysis","authors":"Fednant O. Okware, Samuel B. Apima, Amos O. Wanjara","doi":"10.9734/arjom/2023/v19i11751","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i11751","url":null,"abstract":"Human Papillomavirus (HPV) is an infectious illness with complex behavior that has had dangerous consequences in the society. In women, HPV is the leading cause of Cervical Cancer (CC). If not treated early, cervical cancer causes abnormal growth of the cervical walls, which leads to death. It is a threat, with half a million documented cases worldwide resulting in over 200 000 recorded deaths every year. In this research, we develop a mathematical model of HPV dynamics with vaccination and perform optimal control to reduce HPV and CC preventive expenses. The invariant region of the model solution was examined, and it was determined that the model was well posed and biologically meaningful. The feasibility of the model solution was examined, and it was discovered that the solution of the model remained positive in the feasible limited region (Omega). The disease equilibrium points were shown to exist. The basic reproduction number was examined and discovered to be the biggest eigenvalue of the next generation matrix. The local stability of the equilibrium points was investigated, and it was discovered that the disease free equilibrium and the endemic equilibrium points were asymptotically stable. The model was extended into optimal control, and their optimality system was derived analytically using the Pontryagin Maximum Principle. The optimality system was numerically solved using MATLAB software, and the graphs for various interventions were shown against time. Finally, the outcomes of this study suggest that when the three interventions (awareness, screening and treatment of HPV and CC, and vaccination) are combined, the infection begins to decrease considerably and eventually dies out in the community when the interventions are intensified.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Unveiling the Hidden Patterns: Exploring the Elusive Norm Attainability of Orthogonal Polynomials 揭示隐藏的模式:探索正交多项式难以捉摸的范数可达性

Asian Research Journal of Mathematics Pub Date : 2023-10-09 DOI: 10.9734/arjom/2023/v19i11749

Mogoi N. Evans, Isaac O. Okwany

引用次数: 0

A New Iterative Algorithm for Total Asymptotically Non-Expansive Mapping in CAT(0) Spaces CAT(0)空间中全渐近非扩张映射的一种新的迭代算法

Asian Research Journal of Mathematics Pub Date : 2023-10-09 DOI: 10.9734/arjom/2023/v19i11750

Samir Dashputre, Rakesh Tiwari, Jaynendra Shrivas

引用次数: 0

Properties and Convergence Analysis of Orthogonal Polynomials, Reproducing Kernels, and Bases in Hilbert Spaces Associated with Norm-Attainable Operators 与范数可得算子相关的希尔伯特空间中的正交多项式、再生核和基的性质和收敛性分析

Asian Research Journal of Mathematics Pub Date : 2023-10-09 DOI: 10.9734/arjom/2023/v19i11748

Mogoi N. Evans

引用次数: 0

Some Common Fuzzy Fixed Point Theorems on G - Metric Space G -度量空间上一些常见的模糊不动点定理

Asian Research Journal of Mathematics Pub Date : 2023-09-27 DOI: 10.9734/arjom/2023/v19i10747

P. Senthil Kumar, P. Thiruveni

引用次数: 0

Norm-Attainable Operators and Polynomials: Theory, Characterization, and Applications in Optimization and Functional Analysis 可达范数算子与多项式:理论、表征及在优化与泛函分析中的应用

Asian Research Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.9734/arjom/2023/v19i10745

Mogoi N. Evans, Isaac O. Okwany

{"title":"Norm-Attainable Operators and Polynomials: Theory, Characterization, and Applications in Optimization and Functional Analysis","authors":"Mogoi N. Evans, Isaac O. Okwany","doi":"10.9734/arjom/2023/v19i10745","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10745","url":null,"abstract":"This research paper offers a comprehensive investigation into the concept of norm-attainability in Banach and Hilbert spaces. It establishes that norm-attainable operators exist if and only if the target space is a Banach space and that norm-attainable polynomials are inherently linear. In convex optimization scenarios, norm-attainable polynomials lead to unique global optima. The paper explores the norm of norm-attainable operators, revealing its connection to supremum norms. In Hilbert spaces, norm-attainable operators are self-adjoint. Additionally, it shows that in finite-dimensional spaces, all bounded linear operators are norm-attainable. The research also examines extremal polynomials and their relationship with derivative roots, characterizes optimal solutions in norm-attainable operator contexts, and explores equivalence between norm-attainable operators through invertible operators. In inner product spaces, norm-attainable polynomials are identified as constant. Lastly, it highlights the association between norm-attainable operators and convex optimization problems, where solutions lie on the unit ball's boundary. This paper offers a unified perspective with significant implications for functional analysis, operator theory, and optimization in various mathematical and scientific domains.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135864599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Orthogonal Polynomials and Operator Convergence in Hilbert Spaces: Norm-Attainability, Uniform Boundedness, and Compactness 希尔伯特空间中的正交多项式和算子收敛:范数可达性、一致有界性和紧性

Asian Research Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.9734/arjom/2023/v19i10744

Mogoi Evans

引用次数: 0

Periodic Oscillation of the Solutions for a Parkinson's Disease Model 帕金森病模型解的周期振荡

Asian Research Journal of Mathematics Pub Date : 2023-09-22 DOI: 10.9734/arjom/2023/v19i10743

Chunhua Feng

引用次数: 0

On the Modeling of Causative and Dependence Relationship of Cancers based on Gender and Cumulative Incidence 基于性别和累积发病率的癌症因果关系模型研究

Asian Research Journal of Mathematics Pub Date : 2023-09-19 DOI: 10.9734/arjom/2023/v19i10742

Senyefia Bosson-Amedenu, Eric Justice Eduboah, Emmanuel Teku, Noureddine Ouerfelli, Ransford Ekow Baidoo

{"title":"On the Modeling of Causative and Dependence Relationship of Cancers based on Gender and Cumulative Incidence","authors":"Senyefia Bosson-Amedenu, Eric Justice Eduboah, Emmanuel Teku, Noureddine Ouerfelli, Ransford Ekow Baidoo","doi":"10.9734/arjom/2023/v19i10742","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10742","url":null,"abstract":"Objectives: The goal of our study was to model the causative relationship and dependence of morbidity, mortality, and cumulative incidence with respect to GLOBOCAN 2020 age standardized world estimates for female and male malignancies using two adjustable parameters having physical significance. Methods: The GLOBOCAN age standardized world estimates for patients for the year 2020 were used in this investigation. For the purposes of analyzing descriptive and analytical data, Kaleidagraph and Origin Software were employed. Bivariate empirical cross- correlation and dependency analyses were used to model how the variables were related to one another. The ratio of new cases to fatalities was calculated using equations comparing the stages of various malignancies. Results: In this work, the use of a two-state parameter resulted in the estimation of the optimal solution. The results demonstrated a non-linear correlation with a progressive increase when the cumulative risk of cancer death for each sex was examined separately versus the global cumulative risk of cancer mortality for both sexes. Males experienced the increase more dramatically than females. This finding suggests that the global male-to-female population ratio is not the only factor contributing to cumulative risk. Conclusion: South-Eastern Asia, out of all the regions of the world examined in this study, reached its inflection point at (16.23, 14.87). This generates the baseline and standard against which the overall risk of other countries can be measured. The global cumulative risk, which was estimated at 21.50 for females and 17.94 for males, respectively, dropped at this inflection point.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135013995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Minimum Transversal Eccentric Dominating Energy of Graphs 图的最小横向偏心支配能

Asian Research Journal of Mathematics Pub Date : 2023-09-19 DOI: 10.9734/arjom/2023/v19i10741

None Riyaz Ur Rehman A., A. Mohamed Ismayil

引用次数: 0