Pub Date : 2021-07-02DOI: 10.1186/s42787-021-00125-8
H. O. Nyaberi, Jane S. Musaili
{"title":"Mathematical modeling of the impact of treatment on the dynamics of typhoid","authors":"H. O. Nyaberi, Jane S. Musaili","doi":"10.1186/s42787-021-00125-8","DOIUrl":"https://doi.org/10.1186/s42787-021-00125-8","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"91 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65796930","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 : 2021-05-22DOI: 10.1186/s42787-021-00123-w
Omima A. Abo‐zaid, R. Mohamed, F. M. Hady, A. Mahdy
{"title":"MHD Powell–Eyring dusty nanofluid flow due to stretching surface with heat flux boundary condition","authors":"Omima A. Abo‐zaid, R. Mohamed, F. M. Hady, A. Mahdy","doi":"10.1186/s42787-021-00123-w","DOIUrl":"https://doi.org/10.1186/s42787-021-00123-w","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-021-00123-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65796883","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 : 2021-05-21DOI: 10.1186/s42787-021-00122-x
Assem S. Deif, Sahar A. El-Naggar
In this article, the authors applied a logistic growth model explaining the dynamics of the spread of COVID-19 in Egypt. The model which is simple follows well-known premises in population dynamics. Our aim is to calculate an approximate estimate of the total number of infected persons during the course of the disease. The model predicted—to a high degree of correctness—the timing of the pandemic peak $$t_{{text{m}}}$$ and the final epidemic size $$P$$ ; the latter was foreseen by the model long before it was announced by the Egyptian authorities. The estimated values from the model were also found to match significantly with the nation reported data during the course of the disease. The period in which we applied the model was from the first of April 2020 until the beginning of October of the same year. By the time the manuscript was returned for revision, the second wave swept through Egypt and the authors felt obliged to renew their study. Finally, a comparison is made with the SIR model showing that ours is much simpler; yet leading to the same results.
{"title":"Modeling the COVID-19 spread, a case study of Egypt","authors":"Assem S. Deif, Sahar A. El-Naggar","doi":"10.1186/s42787-021-00122-x","DOIUrl":"https://doi.org/10.1186/s42787-021-00122-x","url":null,"abstract":"In this article, the authors applied a logistic growth model explaining the dynamics of the spread of COVID-19 in Egypt. The model which is simple follows well-known premises in population dynamics. Our aim is to calculate an approximate estimate of the total number of infected persons during the course of the disease. The model predicted—to a high degree of correctness—the timing of the pandemic peak $$t_{{text{m}}}$$ and the final epidemic size $$P$$ ; the latter was foreseen by the model long before it was announced by the Egyptian authorities. The estimated values from the model were also found to match significantly with the nation reported data during the course of the disease. The period in which we applied the model was from the first of April 2020 until the beginning of October of the same year. By the time the manuscript was returned for revision, the second wave swept through Egypt and the authors felt obliged to renew their study. Finally, a comparison is made with the SIR model showing that ours is much simpler; yet leading to the same results.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"64 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505113","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 : 2021-05-19DOI: 10.1186/s42787-021-00121-y
M. Basher
{"title":"k-Zumkeller labeling of super subdivision of some graphs","authors":"M. Basher","doi":"10.1186/s42787-021-00121-y","DOIUrl":"https://doi.org/10.1186/s42787-021-00121-y","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-021-00121-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65796853","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 : 2021-05-01DOI: 10.1186/s42787-021-00120-z
Basant K. Jha, Dauda Gambo
Hydrodynamic behaviour of slip flow and radially applied exponential time-dependent pressure gradient in a curvilinear concentric cylinder is examined. A two-step method of solution has been utilized in resolving the governing momentum equation. Accordingly, the exact solution of the time-dependent partial differential equation is derived in terms of the Laplace parameter. Afterwards, the Laplace domain solution is then inverted to time domain using a numerical-based inverting scheme known as Riemann-sum approximation. The effect of various dimensionless parameters involved in the problem on the Dean velocity, shear stresses and Dean vortices is discussed with the aid of graphs. It is found that maximum Dean velocity is due to an exponentially growing time-dependent pressure gradient and slip wall coefficient. Stability of the Dean vortices is achieved by suppressing time, wall slippage and inducing an exponentially decaying time-dependent pressure gradient.
{"title":"Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow","authors":"Basant K. Jha, Dauda Gambo","doi":"10.1186/s42787-021-00120-z","DOIUrl":"https://doi.org/10.1186/s42787-021-00120-z","url":null,"abstract":"Hydrodynamic behaviour of slip flow and radially applied exponential time-dependent pressure gradient in a curvilinear concentric cylinder is examined. A two-step method of solution has been utilized in resolving the governing momentum equation. Accordingly, the exact solution of the time-dependent partial differential equation is derived in terms of the Laplace parameter. Afterwards, the Laplace domain solution is then inverted to time domain using a numerical-based inverting scheme known as Riemann-sum approximation. The effect of various dimensionless parameters involved in the problem on the Dean velocity, shear stresses and Dean vortices is discussed with the aid of graphs. It is found that maximum Dean velocity is due to an exponentially growing time-dependent pressure gradient and slip wall coefficient. Stability of the Dean vortices is achieved by suppressing time, wall slippage and inducing an exponentially decaying time-dependent pressure gradient.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"286 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505143","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 : 2021-04-20DOI: 10.1186/s42787-021-00119-6
D. S. Dilip, Smitha Mary Mathew
{"title":"Dynamics of a second-order nonlinear difference system with exponents","authors":"D. S. Dilip, Smitha Mary Mathew","doi":"10.1186/s42787-021-00119-6","DOIUrl":"https://doi.org/10.1186/s42787-021-00119-6","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-021-00119-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797313","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 : 2021-03-24DOI: 10.1186/s42787-021-00117-8
A. Ramadan, E. H. Elkordy, M. Usama
{"title":"On L-fuzzy closure operators and L-fuzzy pre-proximities","authors":"A. Ramadan, E. H. Elkordy, M. Usama","doi":"10.1186/s42787-021-00117-8","DOIUrl":"https://doi.org/10.1186/s42787-021-00117-8","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-021-00117-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797229","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 : 2021-03-17DOI: 10.1186/s42787-021-00118-7
Abdul A. Kamara, L. N. Mouanguissa, G. Barasa
{"title":"Mathematical modelling of the COVID-19 pandemic with demographic effects","authors":"Abdul A. Kamara, L. N. Mouanguissa, G. Barasa","doi":"10.1186/s42787-021-00118-7","DOIUrl":"https://doi.org/10.1186/s42787-021-00118-7","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-021-00118-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797285","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 : 2021-03-06DOI: 10.1186/s42787-021-00116-9
I. El-Kalla, E. M. Mohamed, H. El-Saka
{"title":"An accelerated solution for some classes of nonlinear partial differential equations","authors":"I. El-Kalla, E. M. Mohamed, H. El-Saka","doi":"10.1186/s42787-021-00116-9","DOIUrl":"https://doi.org/10.1186/s42787-021-00116-9","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-021-00116-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797189","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 : 2021-02-27DOI: 10.1186/s42787-021-00115-w
Mithilesh Singh, Seema Sharma, Sunil Rawan
An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives was obtained in Yang and Srivastava (Commun Nonlinear Sci Numer Simul 29(1–3):499–504, 2015). In this paper, we obtain the numerical solution of damped forced oscillator problems by employing the operational matrix of integration of Bernoulli orthonormal polynomials. The operational matrix of integration is determined with the help of the integral operator on Bernoulli orthonormal polynomials. Numerical examples of two different problems of spring are given to delineate the performance and perfection of this approach and compared the results with the exact solution.
{"title":"An efficient algorithm to solve damped forced oscillator problems by Bernoulli operational matrix of integration","authors":"Mithilesh Singh, Seema Sharma, Sunil Rawan","doi":"10.1186/s42787-021-00115-w","DOIUrl":"https://doi.org/10.1186/s42787-021-00115-w","url":null,"abstract":"An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives was obtained in Yang and Srivastava (Commun Nonlinear Sci Numer Simul 29(1–3):499–504, 2015). In this paper, we obtain the numerical solution of damped forced oscillator problems by employing the operational matrix of integration of Bernoulli orthonormal polynomials. The operational matrix of integration is determined with the help of the integral operator on Bernoulli orthonormal polynomials. Numerical examples of two different problems of spring are given to delineate the performance and perfection of this approach and compared the results with the exact solution.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"66 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505121","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}
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