Journal of the Egyptian Mathematical Society最新文献_第3页

Mathematical model of the spread of COVID-19 in Plateau State, Nigeria 2019冠状病毒病在尼日利亚高原州传播的数学模型

Journal of the Egyptian Mathematical Society Pub Date : 2022-04-28 DOI: 10.1186/s42787-022-00144-z

Adedire, O., Ndam, Joel N.

{"title":"Mathematical model of the spread of COVID-19 in Plateau State, Nigeria","authors":"Adedire, O., Ndam, Joel N.","doi":"10.1186/s42787-022-00144-z","DOIUrl":"https://doi.org/10.1186/s42787-022-00144-z","url":null,"abstract":"In this research, a mathematical model consisting of non-pharmaceutical control measures is formulated. The developed model helps to examine the transmission of COVID-19 infection in Plateau State, Nigeria, using face masks $$c_{f}$$ and social distancing $$c_{d}$$ as control measures. Data used for the simulation of the developed model were obtained from Nigeria Centre for Disease Control which was fitted to the system of ordinary differential equations using nonlinear least squares method. Results at baseline values $$c_{f} = 0.1$$ and $$c_{d} = 0.2$$ of control measures indicate 2.3 estimation as basic reproduction number which suggests that COVID-19 in Plateau State tends towards endemic state. However, above about 40% in the use of face masks in the population and corresponding above 50% adherence to social distancing could as well bring down the basic reproduction number to a value below 1 necessary for disease eradication. The results at baseline values further indicate that the peak of the COVID-19 had been reached in less than 250 days from the first detection date after about 476,455 undetected asymptomatic individuals, 92,168 undetected symptomatic individuals and 83,801 detected quarantined individuals have been fully infectious. Therefore, the policymakers in Plateau State have the possibility of eradicating the disease with further strict non-pharmaceutical control measures provided that the present conditions of analysis remain fairly the same.\u0000","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"50 4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541247","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: 1

Nonparametric Test for a class of Lifetime Distribution UBAC(2) Based on the Laplace Transform 基于拉普拉斯变换的一类寿命分布UBAC（2）的非参数检验

Journal of the Egyptian Mathematical Society Pub Date : 2022-03-26 DOI: 10.1186/s42787-022-00142-1

S. E. Abu-Youssef, N. S. A. Ali, A. A. El-Toony

引用次数: 4

Parameter estimation and sensitivity analysis for a model of tumor–immune interaction in the presence of immunotherapy and chemotherapy 免疫治疗和化疗下肿瘤-免疫相互作用模型的参数估计和敏感性分析

Journal of the Egyptian Mathematical Society Pub Date : 2022-03-07 DOI: 10.1186/s42787-022-00143-0

H. Elkaranshawy, A. M. Makhlouf

引用次数: 3

Convolution conditions for two subclasses of analytic functions defined by Jackson q-difference operator Jackson q-差分算子定义的解析函数的两个子类的卷积条件

Journal of the Egyptian Mathematical Society Pub Date : 2022-02-28 DOI: 10.1186/s42787-022-00141-2

El-Emam, Fatma Z.

引用次数: 2

Chemical entropy generation and second-order slip condition on hydrodynamic Casson nanofluid flow embedded in a porous medium: a fast convergent method 多孔介质中卡森纳米流体流动的化学熵生成和二阶滑移条件:快速收敛方法

Journal of the Egyptian Mathematical Society Pub Date : 2022-02-14 DOI: 10.1186/s42787-022-00140-3

A. Obalalu

引用次数: 8

Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation 高瑞利数下变黏度和粘性耗散的地幔对流数学模型

Journal of the Egyptian Mathematical Society Pub Date : 2022-02-09 DOI: 10.1186/s42787-022-00139-w

Islam, Sumaiya B., Shefa, Suraiya A., Khaleque, Tania S.

引用次数: 0

Sums of finite products of Pell polynomials in terms of hypergeometric functions 用超几何函数表示佩尔多项式的有限积和

Journal of the Egyptian Mathematical Society Pub Date : 2022-01-31 DOI: 10.1186/s42787-022-00137-y

Patra, Asim, Panda, Gopal Krishna

引用次数: 0

Modeling, analyzing and simulating the dynamics of Lassa fever in Nigeria 建模，分析和模拟尼日利亚拉沙热的动态

Journal of the Egyptian Mathematical Society Pub Date : 2022-01-25 DOI: 10.1186/s42787-022-00138-x

Ojo, Mayowa M., Goufo, Emile Franc Doungmo

{"title":"Modeling, analyzing and simulating the dynamics of Lassa fever in Nigeria","authors":"Ojo, Mayowa M., Goufo, Emile Franc Doungmo","doi":"10.1186/s42787-022-00138-x","DOIUrl":"https://doi.org/10.1186/s42787-022-00138-x","url":null,"abstract":"Lassa fever is an infectious and zoonotic disease with incidence ranging between a hundred to three hundred thousand cases, with approximately five thousand deaths reported yearly in West Africa. This disease has become endemic in the Lassa belt of Sub-Saharan Africa, thus increasing the health burden in these regions including Nigeria. A deterministic mathematical model is presented to study the dynamics of Lassa fever in Nigeria. The model describes the transmission between two interacting hosts, namely the human and rodent populations. Using the cumulative number of cases reported by the Nigerian Centre for Disease Control within the first week of January 2020 through the eleventh week in 2021, we performed the model fitting and parameterization using the nonlinear least square method. The reproduction number $${mathcal {R}}_{0}$$ which measures the potential spread of Lassa fever in the population is used to investigate the local and global stability of the system. The result shows that the model system is locally and globally asymptomatically stable whenever $${mathcal {R}}_{0}<1$$ , otherwise it is unstable. Furthermore, the endemic equilibrium stability is investigated and the criteria for the existence of the phenomenon of bifurcation is presented. We performed the sensitivity analysis of each reproduction number parameter and solutions of the developed model are derived through an iterative numerical technique, a six-stage fifth-order Runge–Kutta method. Numerical simulations of the total infected human population $$(E_{h}+I_{h})$$ under different numerical values (controlled parameters) are presented. The result from this study shows that combined controlled parameters made the total infected human population decline faster and thus reduces Lassa fever’s burden on the population.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"65 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505126","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: 2

Transient Taylor–Dean flow in a composite annulus with porous walls partially filled with porous material 多孔壁部分填充多孔材料复合环空中的瞬态Taylor-Dean流动

Journal of the Egyptian Mathematical Society Pub Date : 2022-01-25 DOI: 10.1186/s42787-022-00136-z

B. Jha, T. Yusuf

引用次数: 2

Enhanced moving least square method for the solution of volterra integro-differential equation: an interpolating polynomial 求解volterra积分微分方程的改进移动最小二乘法:插值多项式

Journal of the Egyptian Mathematical Society Pub Date : 2022-01-25 DOI: 10.1186/s42787-022-00135-0

O. A. Taiwo, M. O. Etuk, E. Nwaeze, M. Ogunniran

引用次数: 1