Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
THE ROLE OF TREATMENT ON CONTROLLING CHANCROID PREVALENCE
159
170
EN
S.
Mushayabasa
Modelling Biomedical Systems Research Group, National University of Science and Technology, Box AC 939 Ascot, Bulawayo
Zimbabwe
Department of Applied Mathematics
C. P.
Bhunu
University of Zimbabwe, Box MP 167 Mount Pleasant, Harare
Zimbabwe
Department of Applied Mathematics
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.
Chancroid,Treatment,reproductive number,Stability,Sensitivity analysis
http://ijm2c.iauctb.ac.ir/article_521706.html
http://ijm2c.iauctb.ac.ir/article_521706_9f3835e89b685b0bbc001d0cdc774ffa.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
ON AN EXTENSION OF A QUADRATIC TRANSFORMATION FORMULA DUE TO GAUSS
171
174
EN
M. A.
Rakha
Faculty of Science - Suez Canal University - Ismailia
Egypt
Department of Mathematics and Statistics
A. K.
Rathie
Rajasthan Technical University, Village: TULSI, Post-Jakhmund, Dist. BUNDI-323021, Rajasthan State
India
Vedant College of Engineering and Technology
P.
Chopra
Marudhar Engineering College, NH-11, Jaipur Road, Raisar, BIKANER-334 001, Rajasthan State
India
Department of Mathematics
The aim of this research note is to prove the following new transformation formula
begin{equation*} (1-x)^{-2a},_{3}F_{2}left[begin{array}{ccccc} a, & a+frac{1}{2}, & d+1 & & \ & & & ; & -frac{4x}{(1-x)^{2}} \ & c+1, & d & & end{array}right] \ =,_{4}F_{3}left[begin{array}{cccccc} 2a, & 2a-c, & a-A+1, & a+A+1 & & \ & & & & ; & -x \ & c+1, & a-A, & a+A & & end{array} right], end{equation*}
where $A^2=a^2-2ad+cd$ 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.
Gauss hypergeometric function,2F1 Hypergeometric function,Contiguous function relation,Linear recurrence relation
http://ijm2c.iauctb.ac.ir/article_521707.html
http://ijm2c.iauctb.ac.ir/article_521707_6ff9c3eeb7305ab8c3f88028bac474be.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
INTERPOLATION BY HYPERBOLIC B-SPLINE FUNCTIONS
175
181
EN
M.
Amirfakhrian
Islamic Azad University, Central Tehran Branch
Iran, Islamic Republic of
Department of Mathematics
H.
Nouriani
Islamic Azad University, Central Tehran Branch
Iran, Islamic Republic of
Department of Mathematics
In this paper we present a new kind of B-splines, called hyperbolic B-splines 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 B-spline are presented.
interpolation,Algebraic Hyperbolic B-spline,Hyperbolic B-spline,Polynomial B-spline,Trigonometric B-spline
http://ijm2c.iauctb.ac.ir/article_521708.html
http://ijm2c.iauctb.ac.ir/article_521708_6835745fd7ed6402cdd176024eabbe30.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION
183
187
EN
M.
Matinfar
Faculty of Sciences, Mazandaran University, Iran
Department of Mathematics
Z.
Raeisi
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
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.
Variational Homotopy Perturbation Method,Nonlinear Gas Dynamics Equation
http://ijm2c.iauctb.ac.ir/article_521709.html
http://ijm2c.iauctb.ac.ir/article_521709_46b8bcb924317833a3052cf8def8ecd1.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
APPLICATION OF PARTIAL DIFFERENTIAL EQUATIONS IN SNOW MECHANICS
189
194
EN
S.
Ahmadi
Tehran north branch-Azad University-iran
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 include "Tornado Dynamics" in the journal of karaj Azad university.
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.
equilibrium equation,maximum stress,principal normal stress
http://ijm2c.iauctb.ac.ir/article_521710.html
http://ijm2c.iauctb.ac.ir/article_521710_bc402325df8b04f7a266b3abe701eb20.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
UNBOUNDEDNESS IN MOILP AND ITS EFFICIENT SOLUTIONS
195
198
EN
G.
Tohidi
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
S.
Razavyan
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
In this paper we investigate Multi-Objective 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.
L1−norm,Multi-objective integer linear programming,Recession direction,Eﬃcient solutions
http://ijm2c.iauctb.ac.ir/article_521711.html
http://ijm2c.iauctb.ac.ir/article_521711_59d7dc8172751ac64941d372a4a1dfaf.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
MINIMAL SOLUTION OF INCONSISTENT FUZZY MATRIX EQUATIONS
199
210
EN
M.
Mosleh
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
M. S.
Otadi
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
S. M.
Bagher Abadi
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
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.
http://ijm2c.iauctb.ac.ir/article_521712.html
http://ijm2c.iauctb.ac.ir/article_521712_0fa7aa23684c3586fea2f139f12173cb.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
3 (SUMMER)
2011
06
22
IMPRECISE DATA ENVELOPMENT ANALYSIS APPROACH IN PERFORMANCE EVALUATION OF SUPPLY CHAIN
211
216
EN
S.
Mamizadeh Chatghayeh
Islamic azad university, Central Tehran branch, Tehran, Iran
Young researches club
V.
Abbasi
University of Science and Culture, Tehran
Iran, Islamic Republic of
Department of Industrial Engineering
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.
Imprecise Data Envelopment Analysis (IDEA),Supply Chain Management (SCM)
http://ijm2c.iauctb.ac.ir/article_521713.html
http://ijm2c.iauctb.ac.ir/article_521713_c754009c0325694f6386e77fb435cb39.pdf