THE ROLE OF TREATMENT ON CONTROLLING CHANCROID PREVALENCE
S.
Mushayabasa
Modelling Biomedical Systems Research Group, National University of Science and Technology, Box AC 939 Ascot, Bulawayo
Zimbabwe
Department of Applied Mathematics
author
C. P.
Bhunu
University of Zimbabwe, Box MP 167 Mount Pleasant, Harare
Zimbabwe
Department of Applied Mathematics
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
159
170
http://ijm2c.iauctb.ac.ir/article_521706_9f3835e89b685b0bbc001d0cdc774ffa.pdf
ON AN EXTENSION OF A QUADRATIC TRANSFORMATION FORMULA DUE TO GAUSS
M. A.
Rakha
Faculty of Science - Suez Canal University - Ismailia
Egypt
Department of Mathematics and Statistics
author
A. K.
Rathie
Rajasthan Technical University, Village: TULSI, Post-Jakhmund, Dist. BUNDI-323021, Rajasthan State
India
Vedant College of Engineering and Technology
author
P.
Chopra
Marudhar Engineering College, NH-11, Jaipur Road, Raisar, BIKANER-334 001, Rajasthan State
India
Department of Mathematics
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
171
174
http://ijm2c.iauctb.ac.ir/article_521707_6ff9c3eeb7305ab8c3f88028bac474be.pdf
INTERPOLATION BY HYPERBOLIC B-SPLINE FUNCTIONS
M.
Amirfakhrian
Islamic Azad University, Central Tehran Branch
Iran, Islamic Republic of
Department of Mathematics
author
H.
Nouriani
Islamic Azad University, Central Tehran Branch
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
175
181
http://ijm2c.iauctb.ac.ir/article_521708_6835745fd7ed6402cdd176024eabbe30.pdf
VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION
M.
Matinfar
Faculty of Sciences, Mazandaran University, Iran
Department of Mathematics
author
Z.
Raeisi
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
183
187
http://ijm2c.iauctb.ac.ir/article_521709_46b8bcb924317833a3052cf8def8ecd1.pdf
APPLICATION OF PARTIAL DIFFERENTIAL EQUATIONS IN SNOW MECHANICS
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.
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
189
194
http://ijm2c.iauctb.ac.ir/article_521710_bc402325df8b04f7a266b3abe701eb20.pdf
UNBOUNDEDNESS IN MOILP AND ITS EFFICIENT SOLUTIONS
G.
Tohidi
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
author
S.
Razavyan
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
195
198
http://ijm2c.iauctb.ac.ir/article_521711_59d7dc8172751ac64941d372a4a1dfaf.pdf
MINIMAL SOLUTION OF INCONSISTENT FUZZY MATRIX EQUATIONS
M.
Mosleh
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
author
M. S.
Otadi
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
author
S. M.
Bagher Abadi
Firoozkooh Branch, Islamic Azad University, Firoozkooh
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
199
210
http://ijm2c.iauctb.ac.ir/article_521712_0fa7aa23684c3586fea2f139f12173cb.pdf
IMPRECISE DATA ENVELOPMENT ANALYSIS APPROACH IN PERFORMANCE EVALUATION OF SUPPLY CHAIN
S.
Mamizadeh Chatghayeh
Islamic azad university, Central Tehran branch, Tehran, Iran
Young researches club
author
V.
Abbasi
University of Science and Culture, Tehran
Iran, Islamic Republic of
Department of Industrial Engineering
author
text
article
2011
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
1
v.
3 (SUMMER)
no.
2011
211
216
http://ijm2c.iauctb.ac.ir/article_521713_c754009c0325694f6386e77fb435cb39.pdf