Pub Date : 2022-04-28DOI: 10.1186/s42787-022-00144-z
Adedire, O., Ndam, Joel N.
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.
在本研究中，建立了一个包含非药物控制措施的数学模型。开发的模型有助于检查COVID-19感染在尼日利亚高原州的传播，使用口罩$$c_{f}$$和保持社交距离$$c_{d}$$作为控制措施。所建模型的模拟数据来自尼日利亚疾病控制中心，采用非线性最小二乘法拟合常微分方程系统。控制措施的基线值$$c_{f} = 0.1$$和$$c_{d} = 0.2$$结果显示，2.3估计值为基本繁殖数，表明高原状态的COVID-19趋于流行状态。然而，在40岁以上% 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.
{"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}
Pub Date : 2022-03-26DOI: 10.1186/s42787-022-00142-1
S. E. Abu-Youssef, N. S. A. Ali, A. A. El-Toony
{"title":"Nonparametric Test for a class of Lifetime Distribution UBAC(2) Based on the Laplace Transform","authors":"S. E. Abu-Youssef, N. S. A. Ali, A. A. El-Toony","doi":"10.1186/s42787-022-00142-1","DOIUrl":"https://doi.org/10.1186/s42787-022-00142-1","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46048363","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}
Pub Date : 2022-03-07DOI: 10.1186/s42787-022-00143-0
H. Elkaranshawy, A. M. Makhlouf
{"title":"Parameter estimation and sensitivity analysis for a model of tumor–immune interaction in the presence of immunotherapy and chemotherapy","authors":"H. Elkaranshawy, A. M. Makhlouf","doi":"10.1186/s42787-022-00143-0","DOIUrl":"https://doi.org/10.1186/s42787-022-00143-0","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797324","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}
Pub Date : 2022-02-28DOI: 10.1186/s42787-022-00141-2
El-Emam, Fatma Z.
By using Jackson q-derivative, some characterizations in terms of convolutions for two classes of analytic functions in the open unit disc are given. Also, coefficient conditions and inclusion properties for functions in these classes are found.
{"title":"Convolution conditions for two subclasses of analytic functions defined by Jackson q-difference operator","authors":"El-Emam, Fatma Z.","doi":"10.1186/s42787-022-00141-2","DOIUrl":"https://doi.org/10.1186/s42787-022-00141-2","url":null,"abstract":"By using Jackson q-derivative, some characterizations in terms of convolutions for two classes of analytic functions in the open unit disc are given. Also, coefficient conditions and inclusion properties for functions in these classes are found.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541274","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}
Pub Date : 2022-02-14DOI: 10.1186/s42787-022-00140-3
A. Obalalu
{"title":"Chemical entropy generation and second-order slip condition on hydrodynamic Casson nanofluid flow embedded in a porous medium: a fast convergent method","authors":"A. Obalalu","doi":"10.1186/s42787-022-00140-3","DOIUrl":"https://doi.org/10.1186/s42787-022-00140-3","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797707","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}
Pub Date : 2022-02-09DOI: 10.1186/s42787-022-00139-w
Islam, Sumaiya B., Shefa, Suraiya A., Khaleque, Tania S.
In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to $$10^{30}$$ ) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter.
{"title":"Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation","authors":"Islam, Sumaiya B., Shefa, Suraiya A., Khaleque, Tania S.","doi":"10.1186/s42787-022-00139-w","DOIUrl":"https://doi.org/10.1186/s42787-022-00139-w","url":null,"abstract":"In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to $$10^{30}$$ ) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"65 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505125","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}
Pub Date : 2022-01-31DOI: 10.1186/s42787-022-00137-y
Patra, Asim, Panda, Gopal Krishna
In this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving hypergeometric functions by means of explicit computations.
{"title":"Sums of finite products of Pell polynomials in terms of hypergeometric functions","authors":"Patra, Asim, Panda, Gopal Krishna","doi":"10.1186/s42787-022-00137-y","DOIUrl":"https://doi.org/10.1186/s42787-022-00137-y","url":null,"abstract":"In this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving hypergeometric functions by means of explicit computations.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"290 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505140","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}
Pub Date : 2022-01-25DOI: 10.1186/s42787-022-00138-x
Ojo, Mayowa M., Goufo, Emile Franc Doungmo
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.
{"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}
Pub Date : 2022-01-25DOI: 10.1186/s42787-022-00136-z
B. Jha, T. Yusuf
{"title":"Transient Taylor–Dean flow in a composite annulus with porous walls partially filled with porous material","authors":"B. Jha, T. Yusuf","doi":"10.1186/s42787-022-00136-z","DOIUrl":"https://doi.org/10.1186/s42787-022-00136-z","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797678","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}
Pub Date : 2022-01-25DOI: 10.1186/s42787-022-00135-0
O. A. Taiwo, M. O. Etuk, E. Nwaeze, M. Ogunniran
{"title":"Enhanced moving least square method for the solution of volterra integro-differential equation: an interpolating polynomial","authors":"O. A. Taiwo, M. O. Etuk, E. Nwaeze, M. Ogunniran","doi":"10.1186/s42787-022-00135-0","DOIUrl":"https://doi.org/10.1186/s42787-022-00135-0","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797078","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：