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Category: Issue 2

A stochastic approach to determine time to cross antigenic diversty threshold of HIV transmission under alertness

R. KANNAN, S. KAVITHA and R. SATHIYAMOORTHI
Department of Statistics, Annamalai University, Annamalainagar – 608 002, Tamilnadu (INDIA)
Email: statkannan@yahoo.co.in, kavithasekarphd@gmail.com

ABSTRACT:

The use of stochastic model in the study of HIV infection, the estimation of the likely time at which the seroconversion takes place is an important aspect. An individual takes some precautionary measures with due to avoid the HIV getting transmitted and this called alertness. The use of preventive strategy gives rise to the concept of alertness on the part of individual who has sexual contact with unknown partner. In this paper the stochastic model for the estimation of time to cross the antigenic diversity threshold and variance are derived under the assumption that the threshold level of antigenic diversity is a random variable which follows a Exponentiated Exponential Distribution. The expression for E(T) and variance are derived and Numerical Illustrations are provided.

KEYWORDS: Acquired Immuno Deficiency Syndrome, Antigenic Diversity Threshold, Human Immuno Deficiency Virus, Preventive Strategy, Seroconversion.


The use of stochastic model in the study of HIV infection, the estimation of the likely time at which the seroconversion takes place is an important aspect. An individual takes some...

Characterization of induced paired domination number of a graph

G. MAHADEVAN1, A. NAGARAJAN2 and A. RAJESWARI3
1Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302 (INDIA)
2Department of Mathematics, V.O.Chidambaram College, Tuticorin- 628 008 (INDIA)
3Department of Mathematics, Aarupadai Veedu Institute of Technology,Paiyanoor, Chennai -603 104 (INDIA)
Email: gmaha2003@yahoo.co.in , Email: nagarajan.voc@gmail.com Email: rajeswarivenket@yahoo.com

ABSTRACT:

The concept of induced paired domination number of a graph was introduced by D.S.Studer, T.W. Haynes and L.M. Lawson11, with the following application in mind. In the guard application an induced paired dominating set represents a configuration of security guards in which each guard is assigned one other as a designated backup with in (as in a paired dominating set), but to avoid conflicts (such as radio interference) between a guard and his/her backup, we require that the backup each guard be unique. Since among the guards only designated partners are adjacent to each other, we reduce the possibility of conflicts in communication. A set S V is a induced -paired dominating set if S is a dominating set of G and the induced subgraph is a set of independent edges. The induced – paired domination number ip(G) is the minimum cardinality taken over all induced paired dominating sets in G. The minimum number of colours required to colour all the vertices so that adjacent vertices do not receive the same colour and is denoted by . Mahadevan3-5 G, characterized the classes of all graphs whose sum of induced paired domination number and chromatic number of order up to 2n 5. In this paper we characterize the classes of all graphs whose sum
of induced paired domination number and chromatic number equals to 2n 6, for any n  4.

KEYWORDS: Induced Paired domination number, Chromatic number AMS (2010) 05C69


The concept of induced paired domination number of a graph was introduced by D.S.Studer, T.W. Haynes and L.M. Lawson11, with the following application in mind. In the guard application an induced paired...

Magnetized Bianchi type III anti-stiff fluid consmological models with time dependent Λ and variable magnetic permeability

1GAJENDRA PAL SINGH and 2ATUL TYAGI
1Department of Mathematics Pacific institute of Engineering Pacific Academy of Higher education and Research University Udaipur: 313024 (INDIA)
2Department of Mathematics and Statistics, University College of Science Mohanlal Sukhadia University, Udaipur: 313001 (INDIA)
E-mail: gajendrasingh237@gmail.com, E-mail: tyagi.atul10@gmail.com

ABSTRACT:

The behavior of cosmological constant in homogeneous Bianchi type-III universe is investigated for magnetized anti-stiff perfect fluid distribution. The magnetic permeability is assumed as a variable quantity. The magnetic field is due to an electric current produce along x- axis, thus F23 is the only non vanishing component of electromagnetic field tensor. For the complete determination of the model we assume a condition between metric potential A = Cn. Physical and Geometrical features of model in presence and absence of magnetic field are also discussed.

KEYWORDS: Bianchi type III, electromagnetic field, anti-stiff perfect fluid, Variable Λ, Magnetic Permeability


The behavior of cosmological constant in homogeneous Bianchi type-III universe is investigated for magnetized anti-stiff perfect fluid distribution. The magnetic permeability is assumed as a variable quantity. The magnetic field is due...

On ℚ -fuzzy Prime Ideals Of ℚ -rings

SOURIAR SEBASTIAN1, MERCY K. JACOB2, V. M. MARY3 and DIVYA MARY DAISE.S4
1Department of Mathematics, St. Albert’s College, Kochi-682018, Kerala (INDIA)
2Department of Mathematics, Toc H Institute of Science and Technology, Aarakunnam-682313, Kerala (INDIA)
3Department of Mathematics,Maharaja’s College, Ernakulam-682011, Kerala (INDIA)
4Department of Mathematics, Fatima Mata National College, Kollam-691001, Kerala (INDIA)

ABSTRACT:

The notion of ℚ -rings, ℚ -ideals, ℚ -prime ideals and their fuzzy counterparts are introduced and analyzed. We also give a characterization of ℚ -fuzzy prime ideals of a fuzzy ring.

KEYWORDS: ℚ -ring, ℚ -fuzzy ring, ℚ -fuzzy ideal, ℚ -fuzzy prime ideal


The notion of ℚ -rings, ℚ -ideals, ℚ -prime ideals and their fuzzy counterparts are introduced and analyzed. We also give a characterization of ℚ -fuzzy prime ideals of a fuzzy...

A Parametric Study of Point-Image-Quality Assessment of an Optical System with an Amplitude Apodiser

CH. VIJENDER* and A.SRISAILAM *
*Department of Mathematics, Osmania University, Hyderabad-500007, A.P. (INDIA)
Email: asmou22@yahoo.com

ABSTRACT:

In this paper, a parametric study of some of the most important corollaries of the Green’s function of an optical system has been carried out. The parameters chosen for this study are Full-Width at half-Maximum Negative amplitude, second order movement and Ripple Factor. The results obtained have been discussed with the help of graphs and tables

KEYWORDS: Mathematical optics, Fourier optics, Apodization


In this paper, a parametric study of some of the most important corollaries of the Green’s function of an optical system has been carried out. The parameters chosen for this study...

A study of oscillatory blood flow through porous medium in a stenosed artery

GAURAV MISHRA, RAVINDRA KUMAR and K. K. SINGH
Department of Mathematics, Agra College Agra U.P. (INDIA)
Email ID: rkpal.maths@gmail.com

ABSTRACT:

The purpose of this paper is to study the oscillatory flow of blood through porous medium in a rigid tube with a mild stenosis. Here we assumed that the blood behaves as a Newtonian fluid and the maximum height of the roughness is very small compared with the radius of the unconstricted tube. The expressions are given for the instantaneous flow rate, resistive impedance and wall shear stress.

KEYWORDS: Oscillatory flow, Blood, Stenosed artery and Porous medium.


The purpose of this paper is to study the oscillatory flow of blood through porous medium in a rigid tube with a mild stenosis. Here we assumed that the blood behaves...

Finite Sets, Separation Axioms, and Equivalences of Open and Closed Images

CHARLES DORSETT
Texas A&M University-Commerce

ABSTRACT:

Within this paper nonempty finite sets are further characterized using closed images and the R0 and R1 separation axioms, and equivalences of open and closed images are given for T1 and R0 spaces

KEYWORDS: finiteness, open and closed images, separation axioms, and discreteness. Subject classification: 54A05, 54C10, 54D10, 54D15.


Within this paper nonempty finite sets are further characterized using closed images and the R0 and R1 separation axioms, and equivalences of open and closed images are given for T1 and...

On fuzzy feebly open sets and fuzzy feebly closed sets

T. THANGAM1, K. BAGEERATHI2 and P. THANGAVELU3
1,2Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628215 (INDIA)
3Department of Mathematics, Karunya University, Coimbatore (INDIA)
e-mail: sivarathi_2006@yahoo.in, thangammathavan@yahoo.com e-mail: ptvelu12@gmail.com , thangavelu@karunya.edu

ABSTRACT:

In this paper we introduce the concept of fuzzy C –feebly open and fuzzy C –feebly closed sets by using arbitrary complement function C and by using fuzzy C – semi closure operators of a fuzzy topological space where C :[0, 1] [0, 1] is a function and investigate some of their basic properties of a fuzzy topological space.

KEYWORDS: Fuzzy C - feebly open, fuzzy C - feebly closed sets, fuzzy C -quasi-coincident, fuzzy C -q-neighborhood and fuzzy topology. MSC 2010: 54A40, 3E72.


In this paper we introduce the concept of fuzzy C –feebly open and fuzzy C –feebly closed sets by using arbitrary complement function C and by using fuzzy C – semi...

Closedown time dependent Bulk queue with multiple vacations

RAM KHILAWAN TIWARI1, NAVAL KISHOR CHAURASIYA1 and DHARMENDRA BADAL2
Department of Mathematics, G.B.S. College, Mauranipur (INDIA)
Department of Mathematical Sciences and Computer Application, Bundelkhand University, Jhansi, U.P. (INDIA)

ABSTRACT:

In this paper a Closedown time concent is introduced in a Bulk queuing model closedown time dependent a MX/G(a,b)/queuing system with multiple vacation is considered. After completing a service, if the queue length is  , where  <a, then the server performs closedown work. After that the server leaves for multiple vacation of random length, irrespective of queue length. After a vacation, when it returns. If the queue length is less than ‘a’, it leaves for another vacation and so on, until he finds ‘a’ customers in the queue. After a vacation, if the server finds at least ‘a’ customers waiting for service, say , then he serves a batch of size min (,b) customers, where b >a. Various Characteristics of the queueing system and a cost model with the numerical result for a particular case of the model are presented in this paper.

KEYWORDS: Bulk queue, multiple vacations, closedown times


In this paper a Closedown time concent is introduced in a Bulk queuing model closedown time dependent a MX/G(a,b)/queuing system with multiple vacation is considered. After completing a service, if the queue...

A generalization of fuzzy alpha-boundary

K. BAGEERATHI1 and T. THANGAM2
1,2Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628215 (India)
e-mail: sivarathi_2006@yahoo.in, thangammathavan@yahoo.com

ABSTRACT:

The author has recently introduced the concepts of fuzzy C – boundary3, fuzzy C -semi-boundary6 and fuzzy C -pre boundary7 where C :[0, 1] [0, 1] is a function. The purpose of this paper is to introduce the concept of fuzzy C-alpha boundary and investigate some of their basic properties of a fuzzy topological space.

KEYWORDS: Fuzzy C - alpha boundary, fuzzy C - - closed sets and fuzzy topology. MSC 2010: 54A40, 3E72.


The author has recently introduced the concepts of fuzzy C – boundary3, fuzzy C -semi-boundary6 and fuzzy C -pre boundary7 where C :[0, 1] [0, 1] is a function. The purpose...