Journal of AppliedMath最新文献

Mathematical modelling of transmission dynamics of Dengue Fever in the presence of infective immigrants 登革热在有感染性移民的情况下的传播动态数学建模

Journal of AppliedMath Pub Date : 2024-08-08 DOI: 10.59400/jam.v2i3.160

E. Donkoh, D. Otoo, Shaibu Osman, Maxwell Baafi, Martin Anokye, Ernest Yeboah Boateng

{"title":"Mathematical modelling of transmission dynamics of Dengue Fever in the presence of infective immigrants","authors":"E. Donkoh, D. Otoo, Shaibu Osman, Maxwell Baafi, Martin Anokye, Ernest Yeboah Boateng","doi":"10.59400/jam.v2i3.160","DOIUrl":"https://doi.org/10.59400/jam.v2i3.160","url":null,"abstract":"Dengue fever is one of the neglected tropical diseases around the globe and its ravaging effect over the period has been enormous in the affected areas. Globalisation, immigration and urbanization and poor urban planning have become the contributory factors in the spread of infectious diseases. In this paper, a model describing the dynamics of dengue fever incorporated with infection immigrants is formulated and analysed using ordinary differential equations with a constant immigration recruitment rate. The model was qualitatively and quantitatively analysed for its local stability, basic reproductive number and sensitivity of the model parameters values to the basic reproductive number to understand the impact of the parameters on the disease spread. In the analysis, it was found that in the presence of infectious immigrants, there cannot be a disease free state demonstrated by ∅ ≥ 0 where the model demonstrates a unique endemic equilibrium state if the fraction of infectious immigrants ∅ is positive. The unique endemic equilibrium for which there is a fraction of infectious immigrants is globally asymptotically stable. Numerical simulation was performed and the results displayed graphically and discussed. It was revealed that immigration of infected immigrants contributes significantly in the spread of dengue fever and that it can be controlled by preventing the influx of infected immigrants and reducing the mosquitoes and human contact rate.","PeriodicalId":504292,"journal":{"name":"Journal of AppliedMath","volume":"15 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141926295","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

Computation of topological indices of linear chains of perylene and coronene using M-polynomial 使用 M 多项式计算过烯烃和冠烯烃线性链的拓扑指数

Journal of AppliedMath Pub Date : 2024-07-25 DOI: 10.59400/jam.v2i3.563

A. Yalnaik, Mookanahallipatna Shivanna Ranganath, Veerabhadraiah Lokesha, Raju Basavaraju Jummannaver

引用次数: 0

Modelling the dynamics of syphilis infection with personal protection and treatment as optimal control strategies 建立梅毒感染动态模型，将个人防护和治疗作为最佳控制策略

Journal of AppliedMath Pub Date : 2024-07-24 DOI: 10.59400/jam.v2i3.179

Elvis Kobina Donkor, Bismark Ansu, Shaibu Osman, D. Otoo, W. Onsongo, Ernest Yeboah Boateng

{"title":"Modelling the dynamics of syphilis infection with personal protection and treatment as optimal control strategies","authors":"Elvis Kobina Donkor, Bismark Ansu, Shaibu Osman, D. Otoo, W. Onsongo, Ernest Yeboah Boateng","doi":"10.59400/jam.v2i3.179","DOIUrl":"https://doi.org/10.59400/jam.v2i3.179","url":null,"abstract":"Syphilis is a sexually transmitted infection which when left untreated wouldlead to major health problems. Syphilis can easily be contracted by direct contact withSyphilis sore during vaginal, anal, or oral sex. Syphilis can also be passed on froman infected mother to her unborn child. In this paper, a nonlinear deterministic modelof Syphilis disease was constructed to determine the dynamics of Syphilis infections.The study deduced model’s equilibria and analyzed the local and global stability ofthese equilibria. The model was extended to optimal control problem by adding timedependent controls that helped characterize a range of possible controls that minimizedthe disease. The control system was solved qualitatively and numerically to evaluatethe effectiveness of the considered controls using Pontryagin’s Maximum Principle.The analysis indicated that strategies B and C are considered most effective as theysubstantially minimized the exposed, asymptomatic and symptomatic infectious. Werecommend that stakeholders should consider strategy B and C in their effort to mitigate the disease from the population as they all have the same effect of substantiallyminimizing the exposed, symptomatic and asymptomatic populations.","PeriodicalId":504292,"journal":{"name":"Journal of AppliedMath","volume":"44 19","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141809504","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

Fundamental properties of the gyroscope oscillation 陀螺仪振荡的基本特性

Journal of AppliedMath Pub Date : 2024-07-17 DOI: 10.59400/jam.v2i3.532

R. Usubamatov

{"title":"Fundamental properties of the gyroscope oscillation","authors":"R. Usubamatov","doi":"10.59400/jam.v2i3.532","DOIUrl":"https://doi.org/10.59400/jam.v2i3.532","url":null,"abstract":"Despite partial solutions by famous scientists during the early Industrial Revolution, gyroscope problems remained unsolvable until the beginning of the twentieth century when several fundamental physical laws were finally formulated to describe them. Today, the principles of classical mechanics enable the formulation and description of the physical processes involved in the rotation of any object. Gyroscopic devices are objects that rotate and exhibit oscillation, which has been a challenging problem in engineering mechanics. The oscillation of a gyroscope is caused by the interaction between external and inertial torques. This is different from other examples of oscillation, such as pendulums and springs, which have been well documented. The main difference in the physics of gyroscopic oscillation is that the spinning rotors of the gyroscopic devices are supported on one side, with their axes perpendicular to the axis of oscillation. The oscillation of gyroscopic devices is interrelated with the potential and kinetic energy of their components. However, the physics of oscillation of such objects has not been fully described in publications until recently. The theory of gyroscopic effects for rotating objects has now been published and provides a solution to this problem. According to this theory, gyroscopic inertial torques represent the potential energy of the external torque and kinetic energy of the spinning rotor. This paper demonstrates the distribution of inertial torques about the axes of Cartesian coordinates, which enables the computation of gyroscope motion and oscillation.","PeriodicalId":504292,"journal":{"name":"Journal of AppliedMath","volume":" 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141828988","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

Relativistic light clocks: Arbitrary orientation in uniform motion and hyperbolic motion analysis 相对论光钟匀速运动中的任意方向和双曲运动分析

Journal of AppliedMath Pub Date : 2024-06-12 DOI: 10.59400/jam.v2i2.405

A. Sfarti

{"title":"Relativistic light clocks: Arbitrary orientation in uniform motion and hyperbolic motion analysis","authors":"A. Sfarti","doi":"10.59400/jam.v2i2.405","DOIUrl":"https://doi.org/10.59400/jam.v2i2.405","url":null,"abstract":"In this paper, we address the general case of a light clock in uniform translational motion parallel to itself and perpendicular to its uniform velocity v, as well as the case of the light clock in relativistic hyperbolic motion. Neither case has been previously addressed in the specialized literature, which typically restricts itself to canonical orientations where the light clock moves parallel to either the vertical or horizontal axis with uniform velocity, without acceleration. Therefore, it becomes interesting to study the more general case where the clock has an arbitrary orientation and/or is accelerated. Our paper is divided into two main sections. The first section deals with the light clock moving with constant velocity, oriented at an arbitrary angle with respect to the x-axis. We prove that the moving clock exhibits a standard time dilation, identical to that of a light clock moving in a canonical orientation. The second section deals with the light clock moving with constant acceleration, i.e., in hyperbolic motion. For the light clock in hyperbolic motion, we derive the period as measured from the perspective of an inertial frame and draw parallels with the case of uniform motion, outlining a term that is similar (but not identical) to the γ factor of uniform motion. We also point out that this factor depends not only on acceleration but also on the height of the light clock. This dependency on the dimension of the light clock distinguishes the accelerated case from the case of uniform motion. The first three sections deal with the theoretical aspects of light (optical) clocks, while the fourth section addresses the experimental implementations of optical clocks.","PeriodicalId":504292,"journal":{"name":"Journal of AppliedMath","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141355216","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

Conformal theory of central surface density for galactic dark halos 星系暗晕中心表面密度的共形理论

Journal of AppliedMath Pub Date : 2024-05-08 DOI: 10.59400/jam.v2i1.465

R. K. Nesbet

引用次数: 0

Mass-energy equivalence and the gravitational redshift: Does energy always have mass? 质能等效与引力红移：能量总是有质量吗？

Journal of AppliedMath Pub Date : 2024-04-17 DOI: 10.59400/jam.v2i2.525

G. D’Abramo

引用次数: 0

Pseudosymmetric normal paracontact metric space forms admitting (α, β)− type almost η−Ricci-Yamabe solitons 允许 (α, β)- 型几乎 η-Ricci-Yamabe 孤子的伪对称法准接触度量空间形式

Journal of AppliedMath Pub Date : 2024-04-01 DOI: 10.59400/jam.v2i2.231

Tuğba Mert, M. Atc̣eken