2011
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THE ROLE OF TREATMENT ON CONTROLLING CHANCROID PREVALENCE
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2
Chancroid is a highly infectious and curable sexually transmitted disease caused by the bacterium Haemophilus Ducreyl (also known as H. Ducreyl). A deterministic mathematical model for investigating the role of treatment on controlling chancroid epidemic is formulated and rigorously analyzed. A threshold quantity known as the productive number, which measures the number of secondary infections produced by a single chancroid infective when introduced in a population of susceptible in the presence of treatment has been derived. Equilibria for the model are determined and their stability are examined. Latin hypercube sampling has been used to perform the sensitivity analysis of the reproductive number.
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159
170


S.
Mushayabasa
Modelling Biomedical Systems Research Group, National University of Science and Technology, Box AC 939 Ascot, Bulawayo
Zimbabwe
Department of Applied Mathematics
Modelling Biomedical Systems Research Group,
Iran


C. P.
Bhunu
University of Zimbabwe, Box MP 167 Mount Pleasant, Harare
Zimbabwe
Department of Applied Mathematics
University of Zimbabwe, Box MP 167 Mount
Iran
Chancroid
Treatment
reproductive number
Stability
Sensitivity analysis
ON AN EXTENSION OF A QUADRATIC TRANSFORMATION FORMULA DUE TO GAUSS
2
2
The aim of this research note is to prove the following new transformation formula
begin{equation*} (1x)^{2a},_{3}F_{2}left[begin{array}{ccccc} a, & a+frac{1}{2}, & d+1 & & \ & & & ; & frac{4x}{(1x)^{2}} \ & c+1, & d & & end{array}right] \ =,_{4}F_{3}left[begin{array}{cccccc} 2a, & 2ac, & aA+1, & a+A+1 & & \ & & & & ; & x \ & c+1, & aA, & a+A & & end{array} right], end{equation*}
where $A^2=a^22ad+cd$ after the equation.
For d=c, we get a known quadratic transformations due to Gauss. The result is derived with the help of the generalized Gauss's summation theorem available in the literature.
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171
174


M. A.
Rakha
Faculty of Science  Suez Canal University  Ismailia
Egypt
Department of Mathematics and Statistics
Faculty of Science  Suez Canal University
Iran


A. K.
Rathie
Rajasthan Technical University, Village: TULSI, PostJakhmund, Dist. BUNDI323021, Rajasthan State
India
Vedant College of Engineering and Technology
Rajasthan Technical University, Village:
Iran


P.
Chopra
Marudhar Engineering College, NH11, Jaipur Road, Raisar, BIKANER334 001, Rajasthan State
India
Department of Mathematics
Marudhar Engineering College, NH11, Jaipur
Iran
Gauss hypergeometric function
2F1 Hypergeometric function
Contiguous function relation
Linear recurrence relation
INTERPOLATION BY HYPERBOLIC BSPLINE FUNCTIONS
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2
In this paper we present a new kind of Bsplines, called hyperbolic Bsplines generated over the space spanned by hyperbolic functions and we use it to interpolate an arbitrary function on a set of points. Numerical tests for illustrating hyperbolic Bspline are presented.
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175
181


M.
Amirfakhrian
Islamic Azad University, Central Tehran Branch
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch
Ir
Iran


H.
Nouriani
Islamic Azad University, Central Tehran Branch
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch
Ir
Iran
Interpolation
Algebraic Hyperbolic Bspline
Hyperbolic Bspline
Polynomial Bspline
Trigonometric Bspline
VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION
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2
A. Noor et al. [7] analyze a technique by combining the variational iteration method and the homotopy perturbation method which is called the variational homotopy perturbation method (VHPM) for solving higher dimensional initial boundary value problems. In this paper, we consider the VHPM to obtain exact solution to Gas Dynamics equation.
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183
187


M.
Matinfar
Faculty of Sciences, Mazandaran University, Iran
Department of Mathematics
Faculty of Sciences, Mazandaran University,
Iran


Z.
Raeisi
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University,
Iran
Variational Homotopy Perturbation Method
Nonlinear Gas Dynamics Equation
APPLICATION OF PARTIAL DIFFERENTIAL EQUATIONS IN SNOW MECHANICS
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2
In the present work, failure of a snow slab is analyzed by accounting Normal mode criteria. The analysis has been extended to include residual stress into the model (in addition to body forces). Intensity of crack energy release rate, and displacement components have been derived and their values have been estimated. The obtained results have been compared with the existing snow slab failure models [ Perla and La chappelle (1970), Perla (1980), Sigrist (2006), Schweizer (1999)]. The criteria of snow slab failure have been critically examined.The maximum stress in the snow pack and critical intensity factor of crack development has also been studied in the model. The results of the present model can be used for the avalanche release information.
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189
194


S.
Ahmadi
Tehran north branchAzad Universityiran
Iran, Islamic Republic of
I'm an Assistant Professor of Applied Mathematics at the University of Azad university. I received my doctorate in Fluid mechanics fro pune University. My recent publication
Tehran north branchAzad Universityiran
Iran,
Iran
equilibrium equation
maximum stress
principal normal stress
UNBOUNDEDNESS IN MOILP AND ITS EFFICIENT SOLUTIONS
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2
In this paper we investigate MultiObjective Integer Linear Programming (MOILP) problems with unbounded feasible region and introduce recession direction for MOILP problems. Then we present necessary and suﬃcient conditions to have unbounded feasible region and inﬁnite optimal values for objective functions of MOILP problems. Finally we present some examples with unbounded feasible region and ﬁnite and inﬁnite eﬃcient solution.
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195
198


G.
Tohidi
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


S.
Razavyan
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran
L1−norm
Multiobjective integer linear programming
Recession direction
Eﬃcient solutions
MINIMAL SOLUTION OF INCONSISTENT FUZZY MATRIX EQUATIONS
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2
Fuzzy liner systems of equations, play a major role in several applications in various area such as engineering, physics and economics. In this paper, we investigate the existence of a minimal solution of inconsistent fuzzy matrix equation. Also some numerical examples are considered.
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199
210


M.
Mosleh
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
Firoozkooh Branch, Islamic Azad University,
Iran


M. S.
Otadi
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
Firoozkooh Branch, Islamic Azad University,
Iran


S. M.
Bagher Abadi
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
Firoozkooh Branch, Islamic Azad University,
Iran
IMPRECISE DATA ENVELOPMENT ANALYSIS APPROACH IN PERFORMANCE EVALUATION OF SUPPLY CHAIN
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Spurred by intensifying competition in global markets, most companies have been increasingly implementing supply chain management (SCM) and information systems (IS) practices. As well, globalization policies have created a more intensive competition amongst manufacturers; in additional the priority of supply over demand, market competition and importance of some factor such as quality, accountability has encouraged companies to integrate their activities using SCM. Performance measurement of supply chain management reflects the need for improvement in operational areas which are found wanton in performance measures. In addition to the results obtained from the evaluation of supply chain performance based on inner changed data can help the integration of supply chain activities and their inner changed data through improving the chain relations and it satisfies customers. In addition, Supply chain (SC) performance evaluation problems cover a wide range from evaluating the performance of independent organizations among supply chains to evaluating the performance of a whole supply chain system. Therefore, in this paper, as regards, performance evaluation is of great importance for effective supply chain management, it has been tried to evaluate supply chain performance by both exact and interval data. This model is illustrated by a numerical example.
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211
216


S.
Mamizadeh Chatghayeh
Islamic azad university, Central Tehran branch, Tehran, Iran
Young researches club
Islamic azad university, Central Tehran branch,
Iran


V.
Abbasi
University of Science and Culture, Tehran
Iran, Islamic Republic of
Department of Industrial Engineering
University of Science and Culture, Tehran
Iran,
Iran
Imprecise Data Envelopment Analysis (IDEA)
Supply Chain Management (SCM)