Journal of Mathematical Analysis and Modeling最新文献

Fixed points of generalized integral type α−F contraction mappings in metric-like spaces 类公转空间中广义积分型 α-F 收缩映射的定点

Journal of Mathematical Analysis and Modeling Pub Date : 2024-06-09 DOI: 10.48185/jmam.v5i2.1064

Heeramani Tiwari, Padmavati

引用次数: 0

An optimal control model for Coffee Berry Disease and Coffee Leaf Rust co-infection 咖啡浆果病和咖啡叶锈病共同感染的优化控制模型

Journal of Mathematical Analysis and Modeling Pub Date : 2024-03-19 DOI: 10.48185/jmam.v5i1.944

H. Nyaberi, W. N. Mutuku, D. Malonza, G. Gachigua, G. Alworah

引用次数: 0

SOME PROPERTIES OF THE DEGENERATE HYPERBOLIC FUNCTIONS 退化双曲函数的一些性质

Journal of Mathematical Analysis and Modeling Pub Date : 2024-03-19 DOI: 10.48185/jmam.v5i1.961

Thomas Awinba Akugre, K. Nantomah, Mohammed Muniru Iddrisu

引用次数: 0

One-step three-parameter optimized hybrid block method for solving first order initial value problems of ordinary differential equations 求解常微分方程一阶初值问题的一步三参数优化混合分块法

Journal of Mathematical Analysis and Modeling Pub Date : 2024-01-28 DOI: 10.48185/jmam.v5i1.970

E. A. Areo, Sunday Gbenro, B. Olabode, A. L. Momoh

{"title":"One-step three-parameter optimized hybrid block method for solving first order initial value problems of ordinary differential equations","authors":"E. A. Areo, Sunday Gbenro, B. Olabode, A. L. Momoh","doi":"10.48185/jmam.v5i1.970","DOIUrl":"https://doi.org/10.48185/jmam.v5i1.970","url":null,"abstract":"A one-step three-parameter optimized hybrid block method and second derivative hybrid block method with optimized points were proposed to solve first-order ordinary differential equations. The techniques of interpolation and collocation were adopted for the derivation of the methods using a three-parameter approximation. The hybrid points were obtained by optimizing the local truncation error of the method. The schemes obtained were reformulated to reduce the number of occurrences of the source term. The hybrid points were used in the derivation of the second derivative hybrid block method. The discrete schemeswere produced as a by-product of the continuous scheme and used to simultaneously solve initial value problems (IVPs) in block mode. The resulting schemes are self-starting, do not require the creation of individual predictors, and are consistent, zero-stable, and convergent. The accuracy and efficiency of the methods were ascertained using several numerical test problems. The numerical results were favourably compared to some techniques from the cited literature.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"411 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140490529","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

Modified Fourth Derivative Block Method and its direct applications to third-order initial value problems 修正的第四次微分块法及其在三阶初值问题中的直接应用

Journal of Mathematical Analysis and Modeling Pub Date : 2024-01-28 DOI: 10.48185/jmam.v5i1.897

Lukuman Momoh, M. L. Duromola, O. O. Kusoro

引用次数: 0

Mathematical Analysis of COVID-19 model with Vaccination and Partial Immunity to Reinfection 带有疫苗接种和部分再感染免疫的 COVID-19 模型的数学分析

Journal of Mathematical Analysis and Modeling Pub Date : 2023-12-29 DOI: 10.48185/jmam.v4i2.942

Francis Musili Muli Muli, Benard Okelo, Richard Magwanga, Omolo Ongati

{"title":"Mathematical Analysis of COVID-19 model with Vaccination and Partial Immunity to Reinfection","authors":"Francis Musili Muli Muli, Benard Okelo, Richard Magwanga, Omolo Ongati","doi":"10.48185/jmam.v4i2.942","DOIUrl":"https://doi.org/10.48185/jmam.v4i2.942","url":null,"abstract":"COVID-19 is an infectious respiratory disease caused by a new virus, called SARS-CoV-2. Since itsinception, it has been a major cause of deaths and illnesses in the general population across the globe. Inthis paper, we have formulated and theoretically analyzed a non-linear deterministic model for COVID-19transmission dynamics by incorporating vaccination of the susceptible population. The system properties,such as the boundedness of solutions, the basic reproduction number R0, the local stability of disease-freeequilibrium(DFE), and endemic equilibrium (EE) points, are explored. Besides, the Lyapunov function isutilized to prove the global stability of both DFE and EE. The bifurcation analysis was carried out by utilizingthe center manifold theory. Then, the model is fitted with real COVID-19 cumulative data of infected casesin Kenya as from March 30, 2020, to March 30, 2022. Furthermore, sensitivity analysis was performed forthe proposed model to ascertain the relative significance of model parameters to COVID-19 transmissiondynamics. The simulations revealed that the spread of COVID-19 can be curtailed not only via vaccinationof susceptible populations but also increased administration of COVID-19 booster vaccine to the vaccinatedpersons and early detection and treatment of asymptomatic individuals.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":" 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139142469","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

Modeling the Effect of Misdiagnosis in the Co-circulation and Co-infection of Dengue and Zika Virus Disease 登革热和寨卡病毒疾病共同传播和共同感染中的误诊影响建模

Journal of Mathematical Analysis and Modeling Pub Date : 2023-12-29 DOI: 10.48185/jmam.v4i2.842

Emmanuel Chidiebere Duru, M. Anyanwu

{"title":"Modeling the Effect of Misdiagnosis in the Co-circulation and Co-infection of Dengue and Zika Virus Disease","authors":"Emmanuel Chidiebere Duru, M. Anyanwu","doi":"10.48185/jmam.v4i2.842","DOIUrl":"https://doi.org/10.48185/jmam.v4i2.842","url":null,"abstract":"Dengue and zika virus disease are ﬂavivirus diseases that spread through bites of Aedes aegypti, a mosquito in the Aedes family. There have been emerging reports of co-infection of these two diseases in humans and Aedes aegypti, in the areas where the two diseases are prevalent. More so, the two diseases are known to manifest similar characteristic symptoms, which makes it possible for mis-diagnosis and wrong treatment. In this paper therefore, we model co-circulation and co-infection of dengue and zika virus disease in human and mosquito populations, with a system of non-linear ordinary diﬀerential equations. It is shown that the disease-free equilibrium of the model may not be globally asymptotically stable due to re-infection of infected humans and mosquitoes by the other disease. The impact of mis-diagnosis of the diseases is investigated which shows that mis-diagnosis would increase the spread of the diseases if the proportion of humans that are accurately diagnosed and treated is more than the rate of recovery of humans that are wrongly diagnosed and treated. Positive constants which give the rates at which the spread of one disease aﬀects the spread of the other are obtained. Plots are given to visualize these important results.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":" 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139143305","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

Mathematical Analysis of Drugs and Substance Abuse in Kenya among the Adolescents 肯尼亚青少年毒品和药物滥用情况的数学分析

Journal of Mathematical Analysis and Modeling Pub Date : 2023-12-29 DOI: 10.48185/jmam.v4i2.901

Francis Musili Muli Muli

{"title":"Mathematical Analysis of Drugs and Substance Abuse in Kenya among the Adolescents","authors":"Francis Musili Muli Muli","doi":"10.48185/jmam.v4i2.901","DOIUrl":"https://doi.org/10.48185/jmam.v4i2.901","url":null,"abstract":"It is incontestable that the mortality rate among drugs and substance abusers is higher than that in thegeneral population. The National Authority for the campaign against alcohol and substance abuse (NACADA)has painted a grim picture of the incessant rise in the number of youth becoming addicted. In this research, adeterministic model for drugs and substance abuse (DSA) driven by light drug abusers (LDA) and heavy drugabusers (HDA) was proposed. The basic reproduction number R0; , the foundation upon which the model’sstability analysis is established, was determined by utilizing the next-generation matrix (NGM) approach.The analysis showed that drug-free equilibrium (DFE) is locally asymptotically stable for R0 < 1 and unstableif R0 > 1. The global stability of both DFE and drugs endemic equilibrium (DEE) are explored by utilizingLyapunov functions. The bifurcation analysis was carried out using the center manifold theorem, where themethod utilized by Castilo-Chavez and Song was implemented and revealed that the rate of drug reinitiationdrove backward bifurcation. The contribution of the important parameters to DSA are investigated, andresults are presented graphically. Results from the simulation revealed that delayed exposure of the youth todrugs increased identification and treatment of the LDA and HDA, which would curtail DSA menace in Kenya.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"167 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139145719","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

Mathematical Model for Dengue Fever with Vertical Transmission and Control Measures 登革热垂直传播的数学模型与控制措施

Journal of Mathematical Analysis and Modeling Pub Date : 2023-12-29 DOI: 10.48185/jmam.v4i2.841

Mohamed Salah Alhaj

引用次数: 0

Decomposable of positive map from M3(C) to M2(M2(C)) 从 M3（C）到 M2（M2（C））的正映射的可分解性

Journal of Mathematical Analysis and Modeling Pub Date : 2023-12-29 DOI: 10.48185/jmam.v4i2.826

Winda C. Akatch, Okelo B. Nyaare, Omoke P. M.

引用次数: 0