University of Guilan Journal of Mathematical Modeling 2345-394X 7 2 2019 06 01 Analysis of a queue with joining strategy and interruption repeat or resumption of service 153 174 3383 10.22124/jmm.2019.11467.1194 EN Dhanya Shajin Department of Mathematics, Sree Narayana College, Chempazhanthy, Thiruvananthapuram Kerala-695587, India. Journal Article 2018 10 12 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.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 2 2019 06 01 Interplay of resource distributions and diffusion strategies for spatially heterogeneous populations 175 198 3384 10.22124/jmm.2019.11734.1208 EN Md. Kamrujjaman Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh 0000-0002-4892-745X Journal Article 2018 11 17 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.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 2 2019 06 01 Partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear systems 199 220 3402 10.22124/jmm.2019.11810.1210 EN Sakineh Mirassadi Faculty of Mathematical sciences, Shahrood University of Technology, Shahrood, Iran Hojjat Ahsani Tehrani Faculty of Mathematical sciences, Shahrood University of Technology, Shahrood, Iran 0000-0003-1593-7368 Journal Article 2018 11 27 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.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 2 2019 06 01 On some applicable approximations of Gaussian type integrals 221 229 3403 10.22124/jmm.2019.12897.1250 EN Christophe Chesneau LMNO, University of Caen, Caen, France Fabien Navarro CREST, ENSAI, Rennes, France Journal Article 2019 03 26 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.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 2 2019 06 01 Solving the general form of the Emden-Fowler equations with the Moving Least Squares method 231 250 3412 10.22124/jmm.2019.12623.1238 EN Sasan Asadpour Department of Mathematics, University of Mazandaran, Babolsar, Iran AllahBakhsh Yazdani Cherati Department of Mathematics, University of Mazandaran, Babolsar, Iran 0000-0002-3352-5829 Hassan Hosseinzadeh Department of Mathematics, University of Mazandaran, Babolsar, Iran Journal Article 2019 02 20 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.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 2 2019 06 01 On nilpotent interval matrices 251 261 3425 10.22124/jmm.2019.12669.1239 EN Effat Golpar Raboky Faculty of Mathematical Sciences, University of Qom, Qom, Iran Tahereh Eftekhari School of Mathematics, Iran University of Science & Technology, Tehran , Iran 0000-0002-4321-4450 Journal Article 2019 02 25 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.