University of Guilan
Journal of Mathematical Modeling
2345-394X
2382-9869
7
2
2019
06
01
Analysis of a queue with joining strategy and interruption repeat or resumption of service
153
174
EN
Dhanya
Shajin
Department of Mathematics, Sree Narayana College, Chempazhanthy, Thiruvananthapuram Kerala-695587, India.
dhanya.shajin@gmail.com
10.22124/jmm.2019.11467.1194
Consider an $M/M/1$ queueing system with service interruption. If the server is busy at the arrival epoch, the arriving customer decides to join the queue with probability $q$ and balk with probability $1-q$. The service is assumed to get interrupted according to a Poisson process. The interrupted service is either resumed or restarted according to the realization of two competing independent, non-identically distributed random variables, the realization times of which follow exponential distributions. An arriving customer, finding the server under interruption does not join the system. We analyze the Nash equilibrium customers' joining strategies and give some numerical examples.
joining strategy,interruption,repeat or resumption of service,Nash equilibrium
https://jmm.guilan.ac.ir/article_3383.html
https://jmm.guilan.ac.ir/article_3383_65c2f30366e54d2a2db025ad412ffc30.pdf
University of Guilan
Journal of Mathematical Modeling
2345-394X
2382-9869
7
2
2019
06
01
Interplay of resource distributions and diffusion strategies for spatially heterogeneous populations
175
198
EN
Md.
Kamrujjaman
0000-0002-4892-745X
Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
kamrujjaman@du.ac.bd
10.22124/jmm.2019.11734.1208
In this paper, we consider a reaction-diffusion competition model describing the interactions between two species in a heterogeneous environment. Specifically, we study the impact of diffusion strategies on the outcome of competition between two populations while the species are distributed according to their respective carrying capacities. The two species differ in the diffusion strategies they employ as well as in their asymmetric growth intensities. In case of weak competition, both populations manage to coexist and there is an ideal free pair. If the resources are shared partially then one species emerge as the sole winner and the other goes extinct. The results have been verified and illustrated numerically.
Resource distributions,adopted dynamics,competition,global analysis,asymptotic stability
https://jmm.guilan.ac.ir/article_3384.html
https://jmm.guilan.ac.ir/article_3384_acbe97790982ae5ee4783041b00ecf78.pdf
University of Guilan
Journal of Mathematical Modeling
2345-394X
2382-9869
7
2
2019
06
01
Partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear systems
199
220
EN
Sakineh
Mirassadi
Faculty of Mathematical sciences, Shahrood University of Technology, Shahrood, Iran
s.mirassadi@shahroodut.ac.ir
Hojjat
Ahsani Tehrani
0000-0003-1593-7368
Faculty of Mathematical sciences, Shahrood University of Technology, Shahrood, Iran
hahsani@shahroodut.ac.ir
10.22124/jmm.2019.11810.1210
In this article, a method by partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear system is presented. This system can be converted to standard descriptor system by definition of fractional-order derivative and considering a new state vector. Using forward and propositional state feedback we do not need to have a full rank open-loop matrix in this kind of systems. However, only a part of the open-loop spectrum which are not in stability region need to be reassigned while keeping all the other eigenvalues invariant. Using partial eigenvalue assignment, size of matrices are decreased while the stability is preserved. Finally, two methods of partial eigenvalue assignment are compared.
Descriptor fractional discrete-time linear system,descriptor systems,eigenvalue assignment (EVA),partial eigenvalue assignment (PEVA)
https://jmm.guilan.ac.ir/article_3402.html
https://jmm.guilan.ac.ir/article_3402_aad8d49cd38f646f5af696c0b9ffb2e6.pdf
University of Guilan
Journal of Mathematical Modeling
2345-394X
2382-9869
7
2
2019
06
01
On some applicable approximations of Gaussian type integrals
221
229
EN
Christophe
Chesneau
LMNO, University of Caen, Caen, France
christophe.chesneau@gmail.com
Fabien
Navarro
CREST, ENSAI, Rennes, France
navarrofabien@yahoo.fr
10.22124/jmm.2019.12897.1250
In this paper, we introduce new applicable approximations for Gaussian type integrals. A key ingredient is the approximation of the function $e^{-x^2}$ by the sum of three simple polynomial-exponential functions. Five special Gaussian type integrals are then considered as applications. Approximation of the so-called Voigt error function is investigated.
Exponential approximation,Gauss integral type function,Voigt error function
https://jmm.guilan.ac.ir/article_3403.html
https://jmm.guilan.ac.ir/article_3403_866110e222286534f422eb718844a4af.pdf
University of Guilan
Journal of Mathematical Modeling
2345-394X
2382-9869
7
2
2019
06
01
Solving the general form of the Emden-Fowler equations with the Moving Least Squares method
231
250
EN
Sasan
Asadpour
Department of Mathematics, University of Mazandaran, Babolsar, Iran
s.asadpour@stu.umz.ac.ir
AllahBakhsh
Yazdani Cherati
0000-0002-3352-5829
Department of Mathematics, University of Mazandaran, Babolsar, Iran
yazdani@umz.ac.ir
Hassan
Hosseinzadeh
Department of Mathematics, University of Mazandaran, Babolsar, Iran
charati1970@gmail.com
10.22124/jmm.2019.12623.1238
In the present paper, we have used moving least squares (MLS) method to solve the integral form of the Emden-Fowler equations with initial conditions. The Volterra integral form of the Emden-Fowler equations overcomes their singular behavior at $x=0$, and the MLS method leads to a satisfactory solution for the equation. The convergence of the method is investigated and finally its applicability is displayed through numerical examples.
Emden-Fowler equations,Volterra integral equation,moving least squares method
https://jmm.guilan.ac.ir/article_3412.html
https://jmm.guilan.ac.ir/article_3412_61805cba8ea61e4b3f2f3f1e4a50207d.pdf
University of Guilan
Journal of Mathematical Modeling
2345-394X
2382-9869
7
2
2019
06
01
On nilpotent interval matrices
251
261
EN
Effat
Golpar raboky
Faculty of Mathematical Sciences, University of Qom, Qom, Iran
g.raboky@qom.ac.ir
Tahereh
Eftekhari
0000-0002-4321-4450
School of Mathematics, Iran University of Science & Technology, Tehran , Iran
t.eftekhari2009@gmail.com
10.22124/jmm.2019.12669.1239
In this paper, we give a necessary and sufficient condition for the powers of an interval matrix to be nilpotent. We show an interval matrix $it{bf{A}}$ is nilpotent if and only if $ rho(mathscr{B})=0 $, where $mathop{mathscr{B}} $ is a point matrix, introduced by Mayer (Linear Algebra Appl. 58 (1984) 201-216), constructed by the $ (*) $ property. We observed that the spectral radius, determinant, and trace of a nilpotent interval matrix equal zero but in general its converse is not true. Some properties of nonnegative nilpotent interval matrices are derived. We also show that an irreducible interval matrix $bf{A}$ is nilpotent if and only if $ | bf{A} | $ is nilpotent.
Interval matrix,nilpotent matrix,spectral radius
https://jmm.guilan.ac.ir/article_3425.html
https://jmm.guilan.ac.ir/article_3425_4cca7cd4f1cbbaceb4cc579d613cfc45.pdf