# Category: Volume 21

Bijendra Singh
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Rachana Khandelwal
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Nitu Trivedi
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)

ABSTRACT:

A prey-predator SIS model with logistic growth has been considered with parasitic infection in prey and more vulnerability of infected prey to predation. The combined harvesting of both species along with disease related death of prey has also been taken into account. It has been observed that the parameter concerned with disease related death affects the endemic state. Threshold numbers along with stability are also discussed. The contributions of Hethcote et. al.7 and Trivedi et. al.12 follows as corollary.

KEYWORDS: Prey-Predator model, Epidemiological model, Stability

A.R. Meenakshi (arm_meenakshi@yahoo.co.in)
Dean of Mathematics and Computer Applications, Karpagam University, Coimbatore, Tamil Nadu (INDIA)
S. Krishnamoorthy (drsk_01@yahoo.com
Department of Methamatics Government Arts College (Autonomous) Kumbakonam -612001 (INDIA)
B. Vasudevan (vasudevb4u@gmail.com)
Department of Mathematics Swami Dayananda College of Arts & Science Manjakkudi – 612 610 Tiruvarur Dist – Tamilnadu – INDIA )

ABSTRACT:

Necessary and sufficient conditions for the sums of Conjugate k-EP (Con-k-EP) matrices to be Con-k-EP are discussed. As an application it is shown that sum and parallel sum of parallel summable Con-k-EP matrices are Con-k-EP.

KEYWORDS: Conjugate k-EP matrix, parallel summable matrices

Necessary and sufficient conditions for the sums of Conjugate k-EP (Con-k-EP) matrices to be Con-k-EP are discussed. As an application it is shown that sum and parallel sum of...

Shalini Singh (shalini.bhu4@gmail.com)
Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi – 221005 (INDIA)

ABSTRACT:

In the present paper, after defining an integrated contact metric structure manifold I have studied holomorphic sectional curvature and some properties which are of great geometrical importance.

KEYWORDS: manifold , structure manifold, integrated contact metric structure manifold, Riemannian metric, vector field

In the present paper, after defining an integrated contact metric structure manifold I have studied holomorphic sectional curvature and some properties which are of great geometrical importance.

Bijendra Singh
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Suman Jain
Govt. College, Badnagar M.P. (INDIA)
Atul Johri
Department of Mathematics, MITM, Ujjain M.P. (INDIA)

ABSTRACT:

Prey-Predator SIS model with Mass incidence and modified deaths has been analyzed. New threshold R1 is identified. The stability criteria with different combinations are studied.

KEYWORDS: Prey, Predator,, Infectious, Thresholds, Stability.

Prey-Predator SIS model with Mass incidence and modified deaths has been analyzed. New threshold R1 is identified. The stability criteria with different combinations are studied.

Mumtaz Mohall, P.O. Naugachia -853204, Dist. Bhagalpur (Bihar (INDIA)

ABSTRACT:

In this paper, a new notion of compactness has been developed in fuzzy topology generated by fuzzy metrics with a continuity based approach basis. The results provide an idea that fuzzy compactness is a good extension of ordinary compactness.

KEYWORDS: L-fuzzy real line, Fuzzy metric., Fuzzy topology generated fuzzy metric, Fuzzy continuity, Fuzzy compactness

In this paper, a new notion of compactness has been developed in fuzzy topology generated by fuzzy metrics with a continuity based approach basis. The results provide an idea...

Anil Tripathi
Department of Mathematics K.K. (PG) College, Etawah (INDIA)
A.K. Sharma
Head Department of Mathmatics, K.K. (PG) College, Etawah (INDIA)
K.K. Singh
61, Chankyapuri, Shahganj, Agra – 282010 (INDIA)

ABSTRACT:

The unsteady flow of the conducting visco-elastic Rivlin-Ericksen type fluid through a long uniform rectangular duct under the influence of transverse uniform magnetic field when an impulsive pressure gradient acting at the central part of a section has been studied. The analytical expressions for velocity profile and the flux have been determined by the application of Laplace integral transform. Some particular cases have also been discussed in detail.

KEYWORDS: conductingrectangular duct, visco-elastic , Rivlin-Ericksen type fluid , through a long , uniform

The unsteady flow of the conducting visco-elastic Rivlin-Ericksen type fluid through a long uniform rectangular duct under the influence of transverse uniform magnetic field when an impulsive pressure gradient...

Mumtaz Mohall, P.O. Naugachia -853204, Dist. Bhagalpur (Bihar (INDIA)

ABSTRACT:

The paper is addressed to an introduction of bitopological dynamics and its biuniformatisation and biproximatization.

KEYWORDS: dynamics, Bitopological

The paper is addressed to an introduction of bitopological dynamics and its biuniformatisation and biproximatization.

Manu Gupta
Department of Mathematics, J.V. Jain (PG) College, Saharanpur (UP) INDIA – 247001
Babita Rani
Department of Mathematics, M.M. Engineering Universtiy, Mullana Ambala -133203 Haryana (INDIA)

ABSTRACT:

The damped vibrations of non-homogeneous isotropic elastic infinite plate resting on elastic foundation are studied. The thickness variation is considered parabolically and non-homogeneity variation is taken as exponentially. In this paper a generalized eigenvalue problem is obtained by applying Frobenious method and suitable boundary conditions from which the values of a frequency parameter, deflection function and the corresponding mode shapes of vibration, for specific values of other parameters, are obtained.

KEYWORDS: Damped Vibrations, Non-Homogeneity, Isotropic, Elastic Foundation

The damped vibrations of non-homogeneous isotropic elastic infinite plate resting on elastic foundation are studied. The thickness variation is considered parabolically and non-homogeneity variation is taken as exponentially. In...

K.C. Petwal (kcptwal@gmail.com)
Department of Mathematics, H.N.B., Garhwal University Campus Badshahi Thaul, Tehri Garhwal – 249199, Uttarakhand (INDIA)
Vineeta Negi
Department of Mathematics, H.N.B., Garhwal University Campus Badshahi Thaul, Tehri Garhwal – 249199, Uttarakhand (INDIA)

ABSTRACT:

S. Sasaki1 has studied the conformal connections on submanifolds and devoted the theory of conformal structure. In the present paper we consider the conformal structure of real manifold, in particular we introduce polyspherical coordinate and develop the method of moving frames and then study the submanifolds in conformal and pseudoconformal spaces. For this we construct an invariant normalization and find out its geometric characterization. We also define the fundamental geometric object, central hyperspheres and m-sphere of submanifolds and then investigate some theorems regarding them.

KEYWORDS: Conformal, Pseudoconformal, Hypersphere, Holonomic, Polyspherical

S. Sasaki1 has studied the conformal connections on submanifolds and devoted the theory of conformal structure. In the present paper we consider the conformal structure of real manifold, in particular...

S.S. Pujar
SRES College of Engineering, Kopargaon- 423603, M.S.(INDIA)
S.G. Purane
Jamkhed Mahavidyalaya, Jamkhed- 413201 (MS) (INDIA)

ABSTRACT:

In this paper, we consider a Kaehlerian manifold M of complex dimension n admitting a holomorphically projective vector field 1,2,5. The purpose of the paper is to obtain the integral formulas and inequalities in a simply connected, compact Kaehlerian manifold without putting restriction on the scalar curvature of M such as the constancy of scalar curvature K on M and to generalize some of the integral formulas, inequalities and some of the propositions of K.Yano and H. Hiramatu7. In section 4 , we introduce GH-projective vector field and study its properties and further generalize a Theorem of S.Tanno9,10 and a Theorem of T Nagano11.

KEYWORDS: Kaehlerian manifold,, H-Projective space , contravariant analytic

In this paper, we consider a Kaehlerian manifold M of complex dimension n admitting a holomorphically projective vector field 1,2,5. The purpose of the paper is to obtain the integral...