2020
8
2
0
0
1

Modeling the spread dynamics of racism in cyberspace
https://jmm.guilan.ac.ir/article_3964.html
10.22124/jmm.2020.14850.1346
1
In this work, we develop a new $SEID$ (SusceptibleExposedInfectedDeny) racism propagation model, which describes the racism diffusion. The racismfree and prevalence equilibrium points are calculated and its stability is analyzed. The threshold value of the model $R_0$ is derived. As a result of theoretical analysis, racism spread is under control when $R_0leq 1$. While, if $R_0>1$ the racism propagates in the cyberspace. Furthermore, the sensitivity analysis of the parametric values of the model are illustrated. We use textsc{Matlab} ode45 solver to illustrate the numerical solutions. Finally, from theoretical analysis and numerical solutions, we obtain mutually consistent results.
0

105
122


Dejen Ketema
Mamo
Department of Mathematics, Collage of Natural and Computational Sciences, Debre Berhan University, Debre Berhan, Ethiopia
Iran
ketemadejen@gmail.com
Cyberspace
racism spread
compartment model
Stability analysis
numerical results
1

Numerical simulation of the biosensors in a trigger mode based on MichaelisMenten enzymatic reaction
https://jmm.guilan.ac.ir/article_3965.html
10.22124/jmm.2020.14147.1307
1
An amperometric biosensor in trigger mode is a type of biosensor which is used to improve the sensitivity and specificity of the detection event by coupling different enzymes. In this paper, we study a numerical scheme to solve the onedimensional diffusionreaction equations with a nonlinear term related to MichaelisMenten kinetics of the enzymatic reactions. In order to simulate numerically the model under study, we discretize the time variable with a semiimplicit backward Euler approach. Also, we use the meshfree collocation method based on thin plate spline radial basis function for the discretization of the spatial derivative. The biosensor response with and without amplification has been compared. The influence of the normalized Michaelis constant, the maximal enzymatic rate and substrate concentration on the triggering biosensor response is investigated.
0

123
138


Maryam
Abjadian
Department of Mathematics, Shiraz University of Technology, Shiraz, Iran
Iran
baharabjadian@gmail.com


Ameneh
Taleei
Department of Mathematics, Shiraz University of Technology, Shiraz, Iran
Iran
a.taleei@sutech.ac.ir
Biosensor
trigger mode
MichaelisMenten kinetics
thin plate spline radial basis function
1

A new approach for solving multivariable orders differential equations with Prabhakar function
https://jmm.guilan.ac.ir/article_3966.html
10.22124/jmm.2020.15702.1380
1
In this paper, we use Chebyshev polynomials to seek the numerical solution of a class of multivariable order fractional differential equation (MVODEs) that the fractional derivative is described in the CaputoPrabhakar sense. Using operational matrices, the original equations are transferred to a system of algebraic equations. By solving the system of equations, the numerical solutions are acquired that this system may be solved numerically using an iterative algorithm. The effectiveness and convergence analysis of the numerical scheme is illustrated through four numerical examples.
0

139
155


MohammadHossein
Derakhshan
Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 167653381, Tehran, Iran
Iran
m.h.derakhshan.20@gmail.com


Azim
Aminataei
Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 167653381, Tehran, Iran
Iran
ataei@kntu.ac.ir
Prabhakar function
multivariable order
fractional derivative
the fifthkind Chebyshev polynomials
numerical method
1

Generalized twoparameter estimator in linear regression model
https://jmm.guilan.ac.ir/article_3967.html
10.22124/jmm.2020.14903.1353
1
In this paper, a new twoparameter estimator is proposed. This estimator is a generalization of twoparameter (TP) estimator introduced by Ozakle and Kaciranlar (The restricted and unrestricted twoparameter estimator, Commun. Statist. Theor. Meth. 36 (2007) 27072725) and includes the ordinary least squares (OLS), the ridge and the generalized Liu estimators, as special cases. Here, the performance of this new estimator over the TP estimator is theoretically investigated in terms of quadratic bias (QB) criterion and its performance over the OLS and TP estimators is also studied in terms of mean squared error matrix (MSEM) criterion. Furthermore, the estimation of the biasing parameters is obtained, a numerical example is given and a simulation study is done as well.
0

157
176


Amir
Zeinal
Department of statistics, Faculty of Mathematical Sciences, University of Guilan, Rasst, Iran
Iran
amirzeinal@guilan.ac.ir
Generalized Liu estimator
Lagrange method
mean squared error
ridge estimator
twoparameter estimator
1

Finite difference method for capillary formation model in tumor angiogenesis
https://jmm.guilan.ac.ir/article_3968.html
10.22124/jmm.2020.15830.1386
1
An implicit finite difference method is implied to approximate a parabolic partial differential equation for capillary formation in tumor angiogenesis. After that, the stability analysis of the method will be investigated. At the end, some numerical simulations are considered to show the applicability and efficiency of the scheme.
0

177
188


Amin
Shahkarami
Department of Mathematics, Lorestan University, Khorramabad, Iran
Iran
shahkarami67@gmail.com


Bahman
Ghazanfri
Department of Mathematics, Lorestan University, Khorramabad, Iran
Iran
ghazanfari.ba@lu.ac.ir
Parabolic partial differential equations
Tumor angiogenesis
Finite difference method
Stability analysis
1

The extended block Arnoldi method for solving generalized differential Sylvester equations
https://jmm.guilan.ac.ir/article_3969.html
10.22124/jmm.2020.15871.1388
1
In the present paper, we propose a new method for solving largescale generalized differential Sylvester equations, by projecting the initial problem onto the extended block Krylov subspace with an orthogonality Galerkin condition. This projection gives rise to a lowdimensional generalized differential Sylvester matrix equation. The lowdimensional equations is then solved by Rosenbrock or BDF method. We give some theoretical results and report some numerical experiments to show the effectiveness of the proposed method.
0

189
206


Lakhlifa
Sadek
Faculte' des Sciences, University Chouaib Doukkali, Morocco
Iran
sadek.l@ucd.ac.ma


Hamad
Talibi Alaoui
Faculte' des Sciences, University Chouaib Doukkali, Morocco
Iran
talibi_1@hotmail.fr
Extended block Krylov subspace
Generalized differential Sylvester matrix equation
lowrank approximate solution
Rosenbrock method
BDF method