# Papers

Journal of Ultra Scientist of Physical Sciences - A
Voulume: 26
Issue: 1
Article No. 1
Estimation of Expected time to Seroconversion of HIV infected when the Antigenic Diversity Thresholds has SCBZ Property
1U. NIYAMATHULLA, 2R. ELANGOVAN and 3R. SATHIYAMOORTHI

1Department of Bio-Statistics, Vinayaka Mission College of Nursing, Karaikal – 609 609, Tamilnadu (INDIA)
2,3Department of Statistics, Annamalai University, Annamalainagar- 608 002,Tamilnadu (INDIA)
Email: srelangovan@rediffmail.com

Abstract :

The likelitime at which the seroconversion of HIV infected takes place is a vital event indicating the progression of the infection. The antigenic diversity of the invading antigens due to successive contacts increases and similarly the virulence also increases. The seroconversion occurs if either the total antigenic diversity crosses the threshold level or the total virulence crosses the threshold level. Using the shock model approach the expected time to seroconversion has been derived by several authors. In this paper it is assumed that the antigenic diversity threshold is a random variable which has a distribution that has the change of parameter this is called the SCBZ property. The expected time to seroconversion is obtained using this concept numerical illustrations are also provided.

Keyword : Seroconversion, Antigenic Diversity Threshold, Virulence, SCBZ property.
DOI :
View Count : 683
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Article No. 2
Realistic model using difference equations for repayment of loans in finance
Abstract :

The purpose of this paper is to find simple ways of solving problems in finance by the difference equations. As difference equations have discrete variables they are useful for developing computer program. The main contribution of this paper is the simplicity of the method presented which gives opportunity to create formulae for cases which are specialized and more realistic. In this article we formulate a mathematical model for repayment of loans by equal installments (such as EMI - Equated Monthly Installments, Equated Fortnightly Installments and Equated Quarterly Installments).
The aim of this article is to develop computer program which can be used easily. The software can be helpful to consumers prone to fuzzy math. The paper is concluded by giving a comparative study table to weigh the various paying options.

Keyword :
DOI : jusps-A
View Count : 727
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Article No. 3
(2, 2) - Total Domination in Graphs
Abstract :

A set S of vertices in a graph G=(V, E) is a (2, 2)-total dominating set of G if every vertex in V is adjacent to at least 2 vertices in S and at least 2 vertices in V – S. The minimum cardinality of a (2, 2)-total dominating set is called the (2, 2)-total domination number of G and is denoted by t2,2(G). In this paper, we initiate a study of (2, 2)-total domination in graphs. Some bounds on t2,2(G) are found and its exact values for some standard graphs are obtained.

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DOI : jusps-A
View Count : 814
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Article No. 4
Unique Common Fixed Point Theorem On Weak Commuting Mapping
Abstract :

The aim of this paper is to establish a new fixed point theorem on complete metric space for weak commuting mapping. Our results generalize several corresponding relations of weak commuting mapping in metric space.

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DOI : jusps-A
View Count : 779
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Article No. 5
Generalized binary closed sets in binary topological spaces
Abstract :

Recently the authors introduced the concept of binary topology between two sets and investigate its basic properties where a binary topology from X to Y is a binary structure satisfying certain axioms that are analogous to the axioms of topology. In this paper we introduce and study generalized binary closed sets and generalized binary open sets that are analogous to the generalized closed sets and generalized open sets in point set topology

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DOI : jusps-A
View Count : 917
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Article No. 6
Some new Linear Generating Relations Involving H-Function of one Variables
Abstract :

The object of this paper is to evaluate some new generating relations involving H-function of one variable some special cases have also been derived.

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DOI : jusps-A
View Count : 676
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Article No. 7
Some new Bilateral Generating Relations Involving Hypergeometric Function and H-Function of one and two Variables
Abstract :

In this paper, we establish some new bilateral generating relations involving additional complete hypergeometric functions of three variables and H-function of one variable

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DOI : jusps-A
View Count : 564
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Article No. 8
Hydromagnetic Convection Flow with Radiative Heat and Mass Transfer Past an Infinite Impulsively Moving Vertical Plate in the Presence of Heat Source/Sink
Abstract :

In this study, an analysis has been performed for heat and mass transfer with radiation effect in transient laminar boundary layer flow of a viscous fluid past an impulsively moving infinite vertical flat plate in a homogenous porous medium in the presence of thermal diffusion and heat source/sink. Exact solution of momentum, energy and diffusion equations, under Boussinesq approximation, is obtained in closed form by use of Laplace transform technique. The variations in fluid velocity, temperature and concentration distribution are shown graphically, whereas numerical values of skin-friction, Nusselt number and Sherwood number are presented in tabular form and discussed

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DOI : jusps-A
View Count : 727
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Article No. 9
B2 near-rings
Abstract :

In this paper we introduce the notion of 2 near-rings and study some of their properties. We furnish a complete characterization and also a structure theorem for such near rings.

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DOI : jusps-A
View Count : 805
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Article No. 10
On mixed trilateral generating functions of extended Jacobi polynomials
Abstract :

In this note we have obtained some novel result on mixed trilateral relations involving extended Jacobi polynomials by group theoretic method which inturn yields the corresponding results involving Hermite, Laguerre and Jacobi polynomials.

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DOI : jusps-A