University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 The analysis of a disease-free equilibrium of Hepatitis B model 1 11 19749 EN Reza Akbari Department of Mathematical Sciences, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran. Ali Vahidian Kamyad Department of Mathematics Sciences, University of Ferdowsi, Mashhad, Iran. Ali Akbar Heydari Research Center for Infection Control and Hand Hygiene, Mashhad University Of Medical Sciences, Mashhad, Iran. Aghileh Heydari Department of Mathematical Sciences, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran. Journal Article 2015 09 21 In this paper we study the dynamics of Hepatitis B virus (HBV) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring  and also through contact with infective individuals. Stability of the disease-free steady state is investigated. The basic reproductive rate, \$R_0\$, is derived. The results show that the dynamics of the model is completely determined by the basic reproductive number \$R_0\$. If \$R_0<1\$, the disease-free equilibrium is globally stable and the disease always dies out and if \$R_0>1\$, the disease-free equilibrium is unstable and the disease is uniformly persistent.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 Growth analysis of entire functions of two complex variables 13 24 19750 EN Sanjib Kumar Datta Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India. Tanmay Biswas Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India. Journal Article 2015 11 15 In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 Menger probabilistic normed space is a category topological vector space 25 32 19784 EN Ildar Sadeqi Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran. Farnaz Yaqub Azari University of Payame noor, Tabriz, Iran. Journal Article 2015 04 19 In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces in probabilistic normed spaces.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 On certain fractional calculus operators involving generalized Mittag-Leffler function 33 45 19751 EN Dinesh Kumar Department of Mathematics \& Statistics, Jai Narain Vyas University, Jodhpur - 342005, India. 0000-0001-5415-1777 Journal Article 2016 01 04 The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj . The considered generalized fractional calculus operators contain the Appell's function \$F_3\$ [2, p.224] as kernel and are introduced by Saigo and Maeda . The Marichev-Saigo-Maeda fractional calculus operators are the generalization of the Saigo fractional calculus operators. The established results provide extensions of the results given by Gupta and Parihar , Saxena and Saigo , Samko et al. . On account of the general nature of the generalized Mittag-Leffler function and generalized Wright function, a number of known results can be easily found as special cases of our main results.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 ‎Multistep collocation method for nonlinear delay integral equations 47 65 19832 EN Parviz Darania Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 5756151818, Urmia-Iran. Journal Article 2015 07 20 ‎The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method. These methods for approximating the solution in each subinterval are obtained by fixed number of previous steps and fixed number of collocation points in current and next subintervals. Also, we analyze the convergence of the multistep collocation method when used to approximate smooth solutions of delay integral equations. Finally, numerical results are given showing a marked improvement in comparison with exact solution.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 On the topological centers of module actions 67 74 19748 EN Kazem Haghnejad Azar Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran. 0000-0002-2591-3362 Journal Article 2015 04 18 In this paper, we  study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions \${Z}^ell_{B^{**}}(A^{**})\$ and  \${Z}^ell_{A^{**}}(B^{**})\$ with some conclusions in group algebras.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions 75 89 17973 EN Mohammad Shahriari Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. Journal Article 2015 05 12 In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator \$-D^2+q\$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining  a new Hilbert space and  using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at some interior point and  parts of two  sets of eigenvalues.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 On multiplicative (strong) linear preservers of majorizations 91 106 18507 EN Mohammad Ali Hadian Nadoshan Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. Ali Armandnejad Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. Journal Article 2015 12 24 ‎In this paper, we study some kinds of majorizations on \$textbf{M}_{n}\$ and their linear or strong linear preservers. Also, we find the structure of linear or strong linear preservers which are multiplicative, i.e.  linear or strong linear preservers like \$Phi \$ with the property \$Phi (AB)=Phi (A)Phi (B)\$ for every \$A,Bin textbf{M}_{n}\$.
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 03 2 2016 06 01 On \$n\$-derivations 107 115 19780 EN Mohammad Hossein Sattari Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran. Journal Article 2016 02 25 In this article, the notion of \$n-\$derivation is introduced for all integers \$ngeq 2\$. Although all derivations are \$n-\$derivations,  in general these notions are not equivalent. Some properties of ordinary derivations are  investigated for \$n-\$derivations. Also, we show that under certain mild condition  \$n-\$derivations are derivations.