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A review of radial basis function with applications explored J. Egypt. Math. Soc. Pub Date : 2023-11-08 Geeta Arora, KiranBala, Homan Emadifar, Masoumeh Khademi
Partial differential equations are a vital component of the study of mathematical models in science and engineering. There are various tools and techniques developed by the researchers to solve the differential equations. The radial basis functions have proven to be an efficient basis function for approximating the solutions to ordinary and partial differential equations. There are different types
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Some properties for meromorphic functions associated with integral operators J. Egypt. Math. Soc. Pub Date : 2023-10-31 W. Y. Kota, R. M. El-Ashwah
In the present paper we aim at proving some subordinations properties for meromorphic functions analytic in the punctured unit disc $$\Delta ^*=\{z:0<|z|<1\}$$ with a simple pole at the origin. The functions under investigation are associated with two integral operators $$\mathcal {P}_\sigma ^\gamma$$ and $$\mathcal {Q}_\sigma ^\gamma$$ (see Lashin in Comput Math Appl 59:524–531, 2010, https://doi
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Independence and domination in divisor graph and mod-difference graphs J. Egypt. Math. Soc. Pub Date : 2023-04-24 Sayed Elsakhawy
We initiate the study of domination and inverse domination in labeled graphs. In this paper, we determined the cardinality of maximal independent and minimum variant dominating (total dominating/independent dominating/co-independent dominating) sets and their inverse in divisor graph and in two new labeling definitions called 0-mod-difference and 1-mod-difference graphs.
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Generalized topology and the family of monotonic maps \(\Gamma (X)\) J. Egypt. Math. Soc. Pub Date : 2023-04-17 G. A. Kamel, K. A. Dib
In this paper, interesting properties of the generalized topological spaces, generated by the monotonic maps $$\sigma = (cl_{\delta }\circ int_{\delta }),$$ $$\alpha = (int_{\delta }\circ cl_{\delta }\circ int_{\delta }),$$ $$\pi = (int_{\delta }\circ cl_{\delta })$$ and $$\beta = (cl_{\delta }\circ int_{\delta }\circ cl_{\delta }),$$ for any generalized topological space $$(X,g_{\delta })$$ are deduced
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Analytical bifurcation behaviors of a host–parasitoid model with Holling type III functional response J. Egypt. Math. Soc. Pub Date : 2023-02-28 Ahmed M. Yousef, Saad Z. Rida, Soheir Arafat
This topic presents a study on a host–parasitoid model with a Holling type III functional response. In population dynamics, when host density rises, the parasitoid response initially accelerates due to the parasitoid’s improved searching efficiency. However, above a certain density threshold, the parasitoid response will reach a saturation level due to the influence of reducing the handling time. Thus
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Modelling the super-infection of two strains of dengue virus J. Egypt. Math. Soc. Pub Date : 2023-02-27 Adetayo Samuel Eegunjobi, Michael Chimezie Anyanwu, S. N. Neossi-Nguetchue
Dengue is one of the vector borne diseases that threatened human race. It is imperative to understand the transmission dynamics of dengue, so that proficient and useful control can be developed. In this paper, we formulated dynamic transmission of two strains super-infection dengue. We used next generation matrix to obtain the basic reproduction numbers $${\mathcal {R}}_1$$ , $${\mathcal {R}}_2$$
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The kagebushin-beta distribution: an alternative for gamma, Weibull and exponentiated exponential distributions J. Egypt. Math. Soc. Pub Date : 2022-12-23 Ribeiro-Reis, Lucas David
A new lifetime distribution has been defined. This distribution is obtained from a transformation of a random variable with beta distribution and is called here the kagebushin-beta distribution. Some mathematical properties such as mode, quantile function, ordinary and incomplete moments, mean deviations over the mean and median and the entropies of Rényi and Shannon are demonstrated. The maximum likelihood
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Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection J. Egypt. Math. Soc. Pub Date : 2022-12-23 Abubakar, J. U., Omolesho, Q. A., Bello, K. A., Basambo, A. M.
The current study investigates the combined response of the Darcy–Brinkman–Forchheimer and nonlinear thermal convection influence among other fluid parameters on Casson rheology (blood) flow through an inclined tapered stenosed artery with magnetic effect. Considering the remarkable importance of mathematical models to the physical behavior of fluid flow in human systems for scientific, biological
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Existence of weak solutions to a convection–diffusion equation in amalgam spaces J. Egypt. Math. Soc. Pub Date : 2022-12-22 Haque, Md. Rabiul
We consider the local existence and uniqueness of a weak solution for a convection–diffusion equation in amalgam spaces. We establish the local existence and uniqueness of solution for the initial condition in amalgam spaces. Furthermore, we prove the validity of the Fujita–Weissler critical exponent for local existence and uniqueness of solution in the amalgam function class that is identified by
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Hydromagnetic free convection flow in a vertical microporous channel with Hall current and ion-slip effect J. Egypt. Math. Soc. Pub Date : 2022-12-09 Jha, Basant K., Malgwi, Peter B.
In the present work, steady-state hydromagnetic analysis and flow formation of Newtonian viscous fluid through a vertical microporous channel is studied theoretically. The transport governing equations include the effect of Hall current and ion-slip effects in the microchannel slip regime. Unlike the usual employed thermal properties of constant heat flux/temperature at the boundary, the current work
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Investigating the effect of loading on the governing equation at the split region for a semi-infinite crack in an orthotropic material under antiplane loading J. Egypt. Math. Soc. Pub Date : 2022-11-18 Emenogu, Ndubueze G.
Most often there is a great disparity between experimental results and analytic results. Before now under great disparity, researchers kept suspecting the experimental procedures without investigating whether their analytic solution actually satisfy the governing equation. When a body in a plane is under loading, the loading splits the plane into regions, and the governing equation must be satisfied
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An integer-order SIS epidemic model having variable population and fear effect: comparing the stability with fractional order J. Egypt. Math. Soc. Pub Date : 2022-09-30 Mukherjee, Manisha, Mondal, Biswajit
This paper investigates the dynamics of an integer-order and fractional-order SIS epidemic model with birth in both susceptible and infected populations, constant recruitment, and the effect of fear levels due to infectious diseases. The existence, uniqueness, non-negativity, and boundedness of the solutions for both proposed models have been discussed. We have established the existence of various
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On solution and perturbation estimates for the nonlinear matrix equation \(X-A^{*}e^{X}A=I\) J. Egypt. Math. Soc. Pub Date : 2022-09-23 Chacha, Chacha S.
This work incorporates an efficient inversion free iterative scheme into Newton’s method to solve Newton’s step regardless of the singularity of the Fr $${\acute{\text {e}}}$$ chet derivative. The proposed iterative scheme is constructed by extending the idea of the foundational form of the conjugate gradient method. Moreover, the resulting scheme is refined and employed to obtain a symmetric solution
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Unit group of some finite semisimple group algebras J. Egypt. Math. Soc. Pub Date : 2022-09-15 Arvind, Namrata, Panja, Saikat
We provide the structure of the unit group of $${\mathbb {F}}_{p^k}S_n$$ , where $$p>n$$ is a prime and $$S_n$$ denotes the symmetric group on n letters. We also provide the complete characterization of the unit group of the group algebra $${\mathbb {F}}_{p^k}A_6$$ for $$p\ge 7$$ , where $$A_6$$ is the alternating group on 6 letters.
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Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order J. Egypt. Math. Soc. Pub Date : 2022-07-18 Madian, Samar
In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ we defined new operator $$D_{\lambda ,q,p}^{n}f^{(m)}(z)$$ . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,\delta ,m}^{p,q}(f)$$ -neighborhood of these classes
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Poisson–logarithmic half-logistic distribution with inference under a progressive-stress model based on adaptive type-II progressive hybrid censoring J. Egypt. Math. Soc. Pub Date : 2022-07-07 Hashem, Atef F., Kuş, Coşkun, Pekgör, Ahmet, Abdel-Hamid, Alaa H.
The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So, in this paper, a new distribution is introduced, named Poisson–logarithmic half-logistic distribution, based on a parallel–series system’s failure times. Specific statistical properties are investigated for the introduced distribution. Also, two
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Correction to: Oscillation of linear third-order impulsive difference equations with variable coefficients J. Egypt. Math. Soc. Pub Date : 2022-06-30 Tripathy, A. K., Chhatria, G. N.
The original publication of this article contained several symbols without any meaning (Q1–Q14). The original article has been updated to remove these symbols. Authors and Affiliations Department of Mathematics, Sambalpur University, Sambalpur, 768019, India A. K. Tripathy & G. N. ChhatriaAuthors A. K. TripathyView author publications You can also search for this author in PubMed Google Scholar G.
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Closed form solution for a semi-infinite crack moving in an infinite orthotropic material with a circular crack breaker under antiplane strain J. Egypt. Math. Soc. Pub Date : 2022-06-27 Emenogu, Ndubueze G., Nnadi, James N., Ogbonna, Nkem
This study investigates the influence of a circular crack breaker on mode-III deformation behavior of a semi-infinite crack in a homogeneous, elastic orthotropic material subjected to longitudinal shear loads. The Galilean transformation is employed to convert the governing wave equation to Laplace’s equation which is time independent, rendering the problem amenable to analysis within the realm of
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Oscillation of linear third-order impulsive difference equations with variable coefficients J. Egypt. Math. Soc. Pub Date : 2022-06-02 Tripathy, A. K., Chhatria, G. N.
The present work discusses the qualitative behaviour of solutions of third-order difference equations of the form: $$\begin{aligned} w(l+3)+a(l)w(l+2)+b(l)w(l+1)+c(l)w(l)=0,\,l\ne \theta _{k},\,l\ge l_{0} \end{aligned}$$ subject to the impulsive condition $$\begin{aligned} w(\theta _{k})=\alpha _{k} w(\theta _{k}-1),\, k\in {\mathbb {N}}. \end{aligned}$$ Our state of the art is the inequality technique
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Bound state solutions and thermodynamic properties of modified exponential screened plus Yukawa potential J. Egypt. Math. Soc. Pub Date : 2022-05-18 Antia, Akaninyene D., Okon, Ituen B., Isonguyo, Cecilia N., Akankpo, Akaninyene O., Eyo, Nsemeke E.
In this research paper, the approximate bound state solutions and thermodynamic properties of Schrӧdinger equation with modified exponential screened plus Yukawa potential (MESPYP) were obtained with the help Greene–Aldrich approximation to evaluate the centrifugal term. The Nikiforov–Uvarov (NU) method was used to obtain the analytical solutions. The numerical bound state solutions of five selected
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Mathematical model of the spread of COVID-19 in Plateau State, Nigeria J. Egypt. Math. Soc. Pub Date : 2022-04-28 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
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Nonparametric Test for a class of Lifetime Distribution UBAC(2) Based on the Laplace Transform J. Egypt. Math. Soc. Pub Date : 2022-03-26 Abu-Youssef, S. E., Ali, N. S. A., El-Toony, A. A.
Testing various classes of life distributions have been considered a very important problem in the literature during the last decades, and many authors tried to solve it. In this paper, a new statistic technique for testing exponentiality versus the class of life distribution used better than aged in increasing concave ordering (UBAC(2)) is introduced based on the Laplace transform. For this proposed
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Parameter estimation and sensitivity analysis for a model of tumor–immune interaction in the presence of immunotherapy and chemotherapy J. Egypt. Math. Soc. Pub Date : 2022-03-07 Elkaranshawy, Hesham A., Makhlouf, Ahmed M.
A mathematical model has been utilized to examine the interaction between tumor cells and immune cells. In this model, the immune cells include natural killer cells, circulating lymphocytes, CD8+T cells, CD4+T cells, and cytokines. The model not only represents the traditional role of CD4+T cells in activating CD8+T cells but also illustrates its role in killing the tumor via the secretion of cytokines
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Convolution conditions for two subclasses of analytic functions defined by Jackson q-difference operator J. Egypt. Math. Soc. Pub Date : 2022-02-28 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.
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Chemical entropy generation and second-order slip condition on hydrodynamic Casson nanofluid flow embedded in a porous medium: a fast convergent method J. Egypt. Math. Soc. Pub Date : 2022-02-14 Obalalu, Adebowale Martins
The chemical entropy generation analysis is an approach to optimize the performance of different thermal systems by investigating the related irreversibility of the system. The influences of second-order slip with the chemical reaction on the boundary layer flow and heat transfer of a non-Newtonian nanofluid in a non-Darcian porous medium have been investigated numerically. Simultaneous solutions are
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Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation J. Egypt. Math. Soc. Pub Date : 2022-02-09 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
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Sums of finite products of Pell polynomials in terms of hypergeometric functions J. Egypt. Math. Soc. Pub Date : 2022-01-31 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.
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Enhanced moving least square method for the solution of volterra integro-differential equation: an interpolating polynomial J. Egypt. Math. Soc. Pub Date : 2022-01-25 Taiwo, O. A., Etuk, M. O., Nwaeze, E., Ogunniran, M. O.
This paper presents an enhanced moving least square method for the solution of volterra integro-differential equation: an interpolating polynomial. It is a numerical scheme that utilizes a modified shape function of the conventional Moving Least Square (MLS) method to solve fourth order Integro-differential equations. Smooth orthogonal polynomials have been constructed and used as the basis functions
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Transient Taylor–Dean flow in a composite annulus with porous walls partially filled with porous material J. Egypt. Math. Soc. Pub Date : 2022-01-25 Jha, Basant K., Yusuf, Taiwo S.
The sole aim of this article is to examine the relative contribution of suction/injection parameter on Taylor–Dean flow in a composite annular gap partially filled with porous material. In the present setup, the Newtonian fluid flow is induced by the circumferential motion of both cylinders and pressure gradient imposed in the Azimuthal direction. The mathematical model governing the flow is rendered
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Modeling, analyzing and simulating the dynamics of Lassa fever in Nigeria J. Egypt. Math. Soc. Pub Date : 2022-01-25 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
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The need for the fractional operators J. Egypt. Math. Soc. Pub Date : 2021-12-24 Abdel-Rehim, E. A.
In this review paper, I focus on presenting the reasons of extending the partial differential equations to space-time fractional differential equations. I believe that extending any partial differential equations or any system of equations to fractional systems without giving concrete reasons has no sense. The experiments agrees with the theoretical studies on extending the first order-time derivative
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A numerical study on MHD double diffusive nonlinear mixed convective nanofluid flow around a vertical wedge with diffusion of liquid hydrogen J. Egypt. Math. Soc. Pub Date : 2021-12-14 Patil, Prabhugouda Mallanagouda, Kulkarni, Madhavarao
The present study focuses on double diffusive nonlinear (quadratic) mixed convective flow of nanoliquid about vertical wedge with nonlinear temperature-density-concentration variations. This study is found to be innovative and comprises the impacts of quadratic mixed convection, magnetohydrodynamics, diffusion of nanoparticles and liquid hydrogen flow around a wedge. Highly coupled nonlinear partial
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Three-point iterative algorithm in the absence of the derivative for solving nonlinear equations and their basins of attraction J. Egypt. Math. Soc. Pub Date : 2021-11-04 Bahgat, Mohamed S. M.
In this paper, we suggested and analyzed a new higher-order iterative algorithm for solving nonlinear equation $$g(x)=0$$ , $$g:{\mathbb {R}}\longrightarrow {\mathbb {R}}$$ , which is free from derivative by using the approximate version of the first derivative, and we studied the basins of attraction for the proposed iterative algorithm to find complex roots of complex functions $$g:{\mathbb {C}}\longrightarrow
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Oscillation of nonlinear neutral dynamic equations on time scales J. Egypt. Math. Soc. Pub Date : 2021-10-30 Chhatria, G. N., Grace, Said R., Graef, John R.
The authors present necessary and sufficient conditions for the oscillation of a class of second order non-linear neutral dynamic equations with non-positive neutral coefficients by using Krasnosel’skii’s fixed point theorem on time scales. The nonlinear function may be strongly sublinear or strongly superlinear.
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Analyzing and solving the identifiability problem in the exponentiated generalized Weibull distribution J. Egypt. Math. Soc. Pub Date : 2021-10-23 Gusmão, Felipe R. S. de, Gomes-Silva, Frank, Brito, Cícero C. R. de, Silveira, Fábio V. J., Jale, Jader S., Xavier-Júnior, Sílvio F. A., Marinho, Pedro R. D.
The well-known Weibull distribution can be used to model the decreasing and unimodal failure rate quite standard in reliability and biological studies. It is also commonly adopted as baseline to generate new distributions from generalized classes. In this paper, we investigate the identifiability of the exponentiated generalized class of distributions and in particular the exponentiated generalized
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Variable demand model for periodically reviewing with allowing refunding parts of the orders J. Egypt. Math. Soc. Pub Date : 2021-10-19 Hollah, O. M.
Depending on a field study for one of the largest iron and paints warehouses in Egypt, this paper presents a new multi-item periodic review inventory model considering the refunding quantity cost. Through this field study, we found that the inventory level is monitored periodically at equal time intervals. Returning a part of the goods that were previously ordered is permitted. Also, a shortage is
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Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform J. Egypt. Math. Soc. Pub Date : 2021-10-15 Ahmad, Owais, Sheikh, Neyaz A., Ahmad, Mobin
In this article, we introduce the notion of nonuniform biorthogonal wavelets on positive half line. We first establish the characterizations for the translates of a single function to form the Riesz bases for their closed linear span. We provide the complete characterization for the biorthogonality of the translates of scaling functions of two nonuniform multiresolution analysis and the associated
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Flow and heat transfer in a rectangular converging (diverging) channel: new formulation J. Egypt. Math. Soc. Pub Date : 2021-07-31 Laila, Roohi, Marwat, Dil Nawaz Khan, Ali, Azhar
In this paper, a model problem of viscous flow and heat transfer in a rectangular converging (diverging) channel has been investigated. The governing equations are presented in Cartesian Coordinates and consequently they are simplified and solved with perturbation and numerical methods. Initially, symmetrical solutions of the boundary value problem are found for the upper half of the channel. Later
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Estimation for two exponential life time models under joint multiply type-II censoring J. Egypt. Math. Soc. Pub Date : 2021-07-23 Neha K. Gadhvi
Various types of censoring schemes basically type-I and type-II censoring schemes and their modified versions are used in life testing experiments. Most of the tests used in life testing experiments are based on a single sample. A joint censoring scheme is quite useful in conducting comparative life tests of products from different units within the same facility. In this article, we consider two exponential
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Modeling the dynamics of Lassa fever in Nigeria J. Egypt. Math. Soc. Pub Date : 2021-07-06 Mayowa M. Ojo, B. Gbadamosi, Temitope O. Benson, O. Adebimpe, A. L. Georgina
Lassa fever is a zoonotic disease spread by infected rodents known as multimammate rats. The disease has posed a significant and major health challenge in West African countries, including Nigeria. To have a deeper understanding of Lassa fever epidemiology in Nigeria, we present a deterministic dynamical model to study its dynamical transmission behavior in the population. To mimic the disease’s biological
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Mathematical modeling of the impact of treatment on the dynamics of typhoid J. Egypt. Math. Soc. Pub Date : 2021-07-02 Halson O. Nyaberi, Jane S. Musaili
In this paper, we propose a mathematical model for the transmission of typhoid which analyzes the impact of treatment of the infected individuals on the dynamics of the disease. The model consists of human population and pathogen population. The human population is subdivided into three compartments, namely susceptible individuals, infected individuals, and recovered individuals and pathogen population
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MHD Powell–Eyring dusty nanofluid flow due to stretching surface with heat flux boundary condition J. Egypt. Math. Soc. Pub Date : 2021-05-22 Omima A. Abo-zaid, R. A. Mohamed, F. M. Hady, A. Mahdy
A steady MHD boundary layer flow of Powell–Eyring dusty nanofluid over a stretching surface with heat flux condition is studied numerically. It is assumed that the fluid is incompressible and the impacts of thermophoresis and Brownian motion are taken into regard. In addition, the Powell–Eyring terms are considered in the momentum boundary layer and thermal boundary layer. The dust particles are seen
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Modeling the COVID-19 spread, a case study of Egypt J. Egypt. Math. Soc. Pub Date : 2021-05-21 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
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k-Zumkeller labeling of super subdivision of some graphs J. Egypt. Math. Soc. Pub Date : 2021-05-19 M. Basher
A simple graph $$G=(V,E)$$ is said to be k-Zumkeller graph if there is an injective function f from the vertices of G to the natural numbers N such that when each edge $$xy\in E$$ is assigned the label f(x)f(y), the resulting edge labels are k distinct Zumkeller numbers. In this paper, we show that the super subdivision of path, cycle, comb, ladder, crown, circular ladder, planar grid and prism are
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Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow J. Egypt. Math. Soc. Pub Date : 2021-05-01 Basant K. Jha, Dauda Gambo
Hydrodynamic behaviour of slip flow and radially applied exponential time-dependent pressure gradient in a curvilinear concentric cylinder is examined. A two-step method of solution has been utilized in resolving the governing momentum equation. Accordingly, the exact solution of the time-dependent partial differential equation is derived in terms of the Laplace parameter. Afterwards, the Laplace domain
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Dynamics of a second-order nonlinear difference system with exponents J. Egypt. Math. Soc. Pub Date : 2021-04-20 D. S. Dilip, Smitha Mary Mathew
In this paper, we study the persistence, boundedness, convergence, invariance and global asymptotic behavior of the positive solutions of the second-order difference system $$\begin{aligned} x_{n+1}&= \alpha _1 + a e ^{-x_{n-1}} + b y_{n} e ^{-y_{n-1}},\\ y_{n+1}&= \alpha _2 +c e ^{-y_{n-1}}+ d x_{n} e ^{-x_{n-1}} \quad n=0,1,2,\ldots \end{aligned}$$ where $$\alpha _1, \alpha _2, a, b , c,d$$ are positive
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On L-fuzzy closure operators and L-fuzzy pre-proximities J. Egypt. Math. Soc. Pub Date : 2021-03-24 A. A. Ramadan, E. H. Elkordy, M. A. Usama
The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities, L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We show that there is a Galois correspondence between the category of separated L-fuzzy closure spaces and that of separated L-fuzzy pre-proximity spaces and we give their examples.
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Mathematical modelling of the COVID-19 pandemic with demographic effects J. Egypt. Math. Soc. Pub Date : 2021-03-17 Abdul A. Kamara, Lagès N. Mouanguissa, Godfrey Okumu Barasa
In this paper, a latent infection susceptible–exposed–infectious–recovered model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number ( $${R}_{0}$$ ) by solving the differential equations of the model and also using next-generation matrix method. We also prove the global stability of the model using the Lyapunov method. We
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An accelerated solution for some classes of nonlinear partial differential equations J. Egypt. Math. Soc. Pub Date : 2021-03-06 I. L. El-Kalla, E. M. Mohamed, H. A. A. El-Saka
In this paper, we apply an accelerated version of the Adomian decomposition method for solving a class of nonlinear partial differential equations. This version is a smart recursive technique in which no differentiation for computing the Adomian polynomials is needed. Convergence analysis of this version is discussed, and the error of the series solution is estimated. Some numerical examples were solved
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An efficient algorithm to solve damped forced oscillator problems by Bernoulli operational matrix of integration J. Egypt. Math. Soc. Pub Date : 2021-02-27 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
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Hasimoto surfaces in Galilean space \(G_{3}\) J. Egypt. Math. Soc. Pub Date : 2021-02-10 M. Elzawy
In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$\chi =\chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.
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The influence of density in population dynamics with strong and weak Allee effect J. Egypt. Math. Soc. Pub Date : 2021-02-04 Kamrun Nahar Keya, Md. Kamrujjaman, Md. Shafiqul Islam
In this paper, we consider a reaction–diffusion model in population dynamics and study the impact of different types of Allee effects with logistic growth in the heterogeneous closed region. For strong Allee effects, usually, species unconditionally die out and an extinction-survival situation occurs when the effect is weak according to the resource and sparse functions. In particular, we study the
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The cordiality of the sum and union of two fourth power of paths and cycles J. Egypt. Math. Soc. Pub Date : 2021-01-29 Ashraf Elrokh, Aya Rabie
A simple graph is called cordial if it has 0-1 labeling that satisfies certain conditions. In this paper, we examine the necessary and sufficient conditions for cordial labeling of the sum and union of two fourth power of paths and cycles.
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The periodic rotary motions of a rigid body in a new domain of angular velocity J. Egypt. Math. Soc. Pub Date : 2021-01-14 A. I. Ismail
In the previous works, the limiting case for the motion of a rigid body about a fixed point in a Newtonian force field, which comes from a gravity center lies on Z -axis, is solved. The authors apply the small parameter technique which is achieved giving the body a sufficiently large angular velocity component r o about the fixed z -axis of the body. The periodic solutions of motion are obtained in
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Melting heat transfer assessment on magnetic nanofluid flow past a porous stretching cylinder J. Egypt. Math. Soc. Pub Date : 2021-01-07 Khilap Singh, Alok Kumar Pandey, Manoj Kumar
The assessment of melting heat transfer and non-uniform heat source on magnetic Cu–H 2 O nanofluid flow through a porous cylinder was studied. The transformed differential equations describing the motion of Cu–H 2 O fluid together with pertinent boundary conditions were handled numerically with the assistance of Keller box method. The ranges of volume fraction of copper particles were taken as 0–25%
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Diffusion-thermo and thermal-diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate J. Egypt. Math. Soc. Pub Date : 2020-12-01 T. L. Oyekunle, S. A. Agunbiade
In this study, various fluid physical quantities effects such as diffusion-thermo, thermal-diffusion, thermal radiation, viscous dissipation, inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate are considered. The coupled and nonlinear partial differential governing equations consisting of momentum, energy and species equations are reduced to ordinary differential equations
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Sensitivity and mathematical model analysis on secondhand smoking tobacco J. Egypt. Math. Soc. Pub Date : 2020-12-01 Birliew Fekede, Benyam Mebrate
In this paper, we are concerned with a mathematical model of secondhand smoker. The model is biologically meaningful and mathematically well posed. The reproductive number $$R_{0}$$ R 0 is determined from the model, and it measures the average number of secondary cases generated by a single primary case in a fully susceptible population. If $$R_{0}<1,$$ R 0 < 1 , the smoking-free equilibrium point
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On $$\psi _{{\mathcal{H}}}( . )$$-operator in weak structure spaces with hereditary classes J. Egypt. Math. Soc. Pub Date : 2020-11-06 H. M. Abu-Donia, Rodyna A. Hosny
Weak structure space (briefly, wss ) has master looks, when the whole space is not open, and these classes of subsets are not closed under arbitrary unions and finite intersections, which classify it from typical topology. Our main target of this article is to introduce $$\psi _{{\mathcal {H}}}(.)$$ ψ H ( . ) -operator in hereditary class weak structure space (briefly, $${\mathcal {H}}wss$$ H w s s
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An asymptotic model for solving mixed integral equation in some domains J. Egypt. Math. Soc. Pub Date : 2020-11-04 Mohamed Abdella Abdou, Hamed Kamal Awad
In this paper, we discuss the solution of mixed integral equation with generalized potential function in position and the kernel of Volterra integral term in time. The solution will be discussed in the space $$L_{2} (\Omega ) \times C[0,T],$$ $$0 \le t \le T < 1$$ , where $$\Omega$$ is the domain of position and $$t$$ is the time. The mixed integral equation is established from the axisymmetric problems
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L-fuzzy pre-proximities, L-fuzzy filters and L-fuzzy grills J. Egypt. Math. Soc. Pub Date : 2020-10-23 A. A. Ramadan, M. A. Usama, A. A. Abd El-Latif
This article gives results on fixed complete lattice L -fuzzy pre-proximities, L -fuzzy grills and L -fuzzy filters. Moreover, we investigate the relations among the L -fuzzy pre-proximities , L -fuzzy grills and L -fuzzy filters. We show that there is a Galois correspondence between the category of separated L -fuzzy grill spaces and that of separated L -fuzzy pre-proximity spaces. We introduced the