eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
1
11
19749
مقاله پژوهشی
The analysis of a disease-free equilibrium of Hepatitis B model
Reza Akbari
r9reza@yahoo.com
1
Ali Vahidian Kamyad
avkamyad@yahoo.com
2
Ali akbar Heydari
heydariaa@mums.ac.ir
3
Aghileh Heydari
a_heidari@pnu.ac.ir
4
Department of Mathematical Sciences, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
Department of Mathematics Sciences, University of Ferdowsi, Mashhad, Iran.
Research Center for Infection Control and Hand Hygiene, Mashhad University Of Medical Sciences, Mashhad, Iran.
Department of Mathematical Sciences, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
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.
http://scma.maragheh.ac.ir/article_19749_d6277da45d18a2b9e2617791b8dbcc92.pdf
Hepatitis B virus (HBV)
Basic reproduction number ($R_0$)
Compound matrices
Disease-Free equilibrium state
Global stability
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
13
24
19750
مقاله پژوهشی
Growth analysis of entire functions of two complex variables
Sanjib Kumar Datta
sanjib_kr_datta@yahoo.co.in
1
Tanmay Biswas
tanmaybiswas_math@rediffmail.com
2
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
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.
http://scma.maragheh.ac.ir/article_19750_9a173f57343ef9c61aa8f0ee7cdf9b6d.pdf
Entire functions
Generalized relative order
Generalized relative lower order
Two complex variables
Composition
growth
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
25
32
19784
مقاله پژوهشی
Menger probabilistic normed space is a category topological vector space
Ildar Sadeqi
esadeqi@sut.ac.ir
1
Farnaz Yaqub Azari
fyaqubazari@gmail.com
2
Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran.
University of Payame noor, Tabriz, Iran.
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.
http://scma.maragheh.ac.ir/article_19784_ea968e7794474539e5edcca66c4af05b.pdf
Category of probabilistic normed space
Category of topological vector space
Fuzzy continuous operator
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
33
45
19751
مقاله پژوهشی
On certain fractional calculus operators involving generalized Mittag-Leffler function
Dinesh Kumar
dinesh_dino03@yahoo.com
1
Department of Mathematics \& Statistics, Jai Narain Vyas University, Jodhpur - 342005, India.
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. 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 [23]. 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 [3], Saxena and Saigo [30], Samko et al. [26]. 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.
http://scma.maragheh.ac.ir/article_19751_f8cba31ae3575443d6bc568443f37036.pdf
Marichev-Saigo-Maeda fractional calculus operators
Generalized Mittag-Leffler function
Generalized Wright hypergeometric function
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
47
65
19832
مقاله پژوهشی
Multistep collocation method for nonlinear delay integral equations
Parviz Darania
p.darania@urmia.ac.ir
1
Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 5756151818, Urmia-Iran.
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.
http://scma.maragheh.ac.ir/article_19832_4aa04e21bad2368df51e6e1a4c4fdbda.pdf
Delay integral equations
Collocation method
Multistep collocation method
Convergence
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
67
74
19748
مقاله پژوهشی
On the topological centers of module actions
Kazem Haghnejad Azar
haghnejad@uma.ac.ir
1
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
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.
http://scma.maragheh.ac.ir/article_19748_3fb8c456b2e4d1f04f48b4146fde0d2d.pdf
Arens regularity
Topological centers
Module actions
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
75
89
17973
مقاله پژوهشی
Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions
Mohammad Shahriari
shahriari@maragheh.ac.ir
1
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
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.
http://scma.maragheh.ac.ir/article_17973_6df44ee2ee8037955d17cb29c9f1d581.pdf
Inverse Sturm-Liouville problem
Jump conditions
Non self-adjoint operator
Parameter dependent condition
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
91
106
18507
مقاله پژوهشی
On multiplicative (strong) linear preservers of majorizations
Mohammad Ali Hadian Nadoshan
ma.hadiann@gmail.com
1
Ali Armandnejad
armandnejad@vru.ac.ir
2
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.
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 $A,Bin textbf{M}_{n}$.
http://scma.maragheh.ac.ir/article_18507_6efe0e20f27345279deaf253dedbf98a.pdf
Doubly stochastic matrix
Linear preserver
Multiplicative map
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-06-01
03
2
107
115
19780
مقاله پژوهشی
On $n$-derivations
Mohammad Hossein Sattari
sattari@azaruniv.ac.ir
1
Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.
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.
http://scma.maragheh.ac.ir/article_19780_83b63b675701b909f6b32e3f6bb7c3aa.pdf
$n$-derivation
$n$-homomorphism
Banach algebra