Volume 25, Issue 1 (June)

1

Research Article

Finite geometries and Finite quantum systems: Duality between lines in phase space and mutually unbiased bases in Hilbert space

Oladejo S. O.^*, Olupitan T., Bukar A. M.

In this work, we focus on finite quantum systems with variables in Zd and finite geometry Gd where d is a prime integer. In it, we confirmed the existence of duality between mutually unbiased bases in Hilbert space of a finite quantum system and lines in phase space.

Jun, 2016 pp. 1-7

2

Research Article

Some generalized k-Fractional companions of Hadamard's inequality

Hussain R.^*, Kehkashan B., Ali A., Latif A., K. Rauf

The present study deals with the derivation of some new companions of Hadamard's inequality of fractional type by means of generalised convex functions, viz. h-convex functions, s-convex functions and also by co-ordinated h-convex functions on a rectangle from the plane R2.

Jun, 2016 pp. 8-18

3

Research Article

On The Efficiency of Maximum Likelihood and Restricted Maximum Likelihood Estimators For Linear Mixed Effects Models

Yahya W. B.^*, Adeniyi I. A., Olayemi R. M, Dauda K. A., Banjoko A. W., Olorede K. O., Ezenweke C. P.

In this work, the performances of maximum likelihood (ML) and restricted maximum likelihood (REML) estimation of linear mixed effects models were examined. The behaviors andProperties of the ML and REML methods of estimating the variance-covariance components in linear mixed-effects models were studied via Monte-Carlo experiment. Results revealedthat both estimation techniques yielded the same est...

Jun, 2016 pp. 19-55

4

Research Article

MATHEMATICAL DYNAMICS OF THE INTERACTION OF 2-3 PREY-PREDATOR NON-DIFFUSIVE ECOLOGICAL SYSTEM

Aiyesimi Y. M^*, Jiya M., Olayiwola R. O., Makinde S. O.

A diagram illustrating the relationship between three (3) competing predators who also compete amongst themselves and two independent prey is shown to see the nature of interdependence among the species. To this end, it is considered that the free population (without interaction) is the solution to the logistic equation of individual specie. A semi-analytical approach is developed for solving the ...

Jun, 2016 pp. 56-64

5

Research Article

Combinatorial Properties of Order-Preserving and Order-Decreasing Semigroup of Partial Injective Contraction Mapping

B. M. Ahmed^*, d S. O. Makanjuola

Let CIn be the semigroup of partial injective contraction mappings. The focus of this paper is to provide some properties subsemigroups of CIn which are semigroup of order reserving partial injective contraction mapping (OCIn) and semigroup of order decreasing partial injective contraction mapping (DCIn). The results on this work are combinatorial properties of subsemigroups of CIn which are both ...

Jun, 2016 pp. 65-79

6

Research Article

Modified Variational Homotopy Perturbation Method for Nonlinear Volterra Integro-differential Equations

Ignatius N. Njoseh^*, Ebimene J. Mamadu

In this paper, we apply the Modified Variational Homotopy Method (MVHPM) for the numerical solution of nonlinear Volterra integro-differential equations. The method is an elegant mixture of Variational Iteration and Homotopy Perturbation Methods. The modification is effected at the approximation stage. This modification is the addition of the coecients of the least and highest powers of the homot...

Jun, 2016 pp. 80-87

7

Research Article

Estimating Infant and Maternal Mortality in Nigeria using Overdispersion Modelling Methods

C. I. Orabuche^*, M. O. Adamu, O. E. Oladokun

In this study, models that provide more satisfactory statistical fit for data and factors that a ect infant and maternal mortality rates in Nigeria are presented. Models that detect and correct overdispersion in data are used to analyze the data provided by the National Bureau of Statistics, Nigeria. Some of the models considered are Poisson, Poisson Normal, Negative Binomial, Quasi-likelihood and...

Jun, 2016 pp. 88-110

8

Research Article

Existence and Uniqueness of Solution of Ebola Virus Disease Model with Contact Tracing and Quarantine as Controls

C. E. Madubueze^*, A. R. Kimbir, E. S. Onah, T. Aboiyar

In this paper, we begin the study of the transmission dynamics of a model of Ebola Virus disease (EVD) incorporating contact tracing and quarantine as control measures. Furthermore, we present the proof of the existence and uniqueness of the solution of the model.

Jun, 2016 pp. 111-121

9

Research Article

Variation Iteration Decomposition Method for the Numerical Solution of Integro-Dierential Equations

Ignatius N. Njoseh^*, Ebimene J. Mamadu

This paper seeks the numerical solution of integro-differential equations via the variation iteration decomposition method (VIDM). The mode of convergence of this method as applied toIntegro-differential equations is determined by the step-size parameter, h. The approximate solution converges for h  105+n where n is the number of iterations. Similarly, the method requires no discretization, linea...

Jun, 2016 pp. 122-130

10

Research Article

Concerning Certain Finite Groups and the Elgamal Cryptosystem

S. M. Tudunkaya^*

This paper presented a modification of the ElGamal cryptosystem with the aid of finite multiplicative groups of rhotrices defined over Zp for a prime p: This system may have an additional advantage of higher security.

Jun, 2016 pp. 131-139

11

Research Article

Block Hybrid Method for Solution of Fourth Order Ordinary Differential Equations

O. A. Akinfenwa^*, H. A. Ogunseye, S. A. Okunuga

In this paper a block hybrid method of order seven for the direct solution of fourth-order ordinary differential equations is presented. The derivation of the method uses interpolation and col-location procedures to obtain the main method and additional methods from the same continuous scheme. The continuous representation of the integrators permit us to differentiate and evaluate at both grid and...

Jun, 2016 pp. 140-150 1 views

12

Research Article

A Mathematical Model of Cooperative Advertising and Subsidy Transfer Strategies

Peter E. Ezimadu^*

This work uses game theory to consider cooperative advertising in a supply chain involving a manufacturer, a retailer, and a distributor. The manufacturer who is the channel leader plays aStackelberg game with the other channel members. While the distributor is the first follower (or second leader), the retailer is the second follower. The channel structure involves a situation where only the reta...

Jun, 2016 pp. 151-161

13

Research Article

Review of a Study of Soft Fields

I. A. Onyeozili^*

Molodtsov in 1999 introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty about vague concept. In this paper, we present the definition of soft field and soft subfield with illustrative examples. Some properties of soft fields and soft subfields are investigated.

Jun, 2016 pp. 162-177

14

Research Article

On the Stability Analysis and Homotopy-Based Solution of three species Lotka-Volterra Model

E. A. Bakare^*, S. Chakraverty

The Lotka-Volterra model is a description of the dynamic behaviour of a multispecies number of competitors and/or predator-prey interactions which have found usefulness in non-linear control and simultaneous chemical engineering and other engineering fields. In this paper, we present the stability analysis and homotopy based solution of three species Lotka-Volterramodel. The three species Lotka-Vo...

Jun, 2016 pp. 178-204

15

Research Article

MODELLING AND EVALUATION PERFORMANCES WITH NEURAL NETWORK USING CLIMATIC TIME SERIES DATA

T. O. Olatayo^*, A. I. Taiwo

Neural network model is an alternative powerful data modeling tool capable of capturing and representing non-linear relationships between variables. The methodology used in this research article were Artificial Neural network (ANN), Autoregressive Integrated Moving Average (ARIMA) and Fuzzy Time Series (FTS) models. The study revealed that, since ANN forecast performance evaluation has the lowest ...

Jun, 2016 pp. 205-216 1 views

16

Research Article

Analysis of a Steady Magnetohydrodynamic (MHD) Flow of a Convective Third Grade Fluid in a Constrained Geometry

Aiyesimi Y. M^*, Jiya M., Olayiwola R. O., A. A. Wachin

This paper presents magnetohydrodynamic (MHD) flow of steady convective third-grade fluid in a constrained geometry. The non-linear governing equations were solved analytically.using homotopy perturbation method (HPM). The influences of dimensionless parameters on magnetohydrodynamic (MHD) flow of a convective third-grade fluid in a constrained geometrywere investigated. Simulation results reveale...

Jun, 2016 pp. 217-225

17

Research Article

Modeling and Analytical Simulation of a Laminar Premixed Flame Impinging on a Normal Solid Surface

R. O. Olayiwola^*

The two most relevant applications of laminar, compressible boundary layer theory are the flat-plate flow and stagnation-point flow. In this paper, an analytical method for studyingchemically reacting flow in laminar premixed flame of carbon monoxide/oxygen mixture in the region of the stagnation point in the presence of work due to compression and heat generateddue to viscous dissipation is prese...

Jun, 2016 pp. 226-240

18

Research Article

CARDINALITY AND IDEMPOTENCY OF SIGNED ORDER-PRESERVING TRANSFORMATION SEMIGROUPS

M. M. Mogbonju^*, S. O. Makanjuola, Adeniji A. O

Let SOn; SPOn and SIOn denotes the sets of signed full order - preserving, signed partial-order-preserving, and signed partial-one-one-order-preserving transformation semigroupsrespectively. Let be a transformation from Xn 􀀀! Z. This paper investigates and established the order and idempotency of the set of signed order-preserving transformation semigroups.

Jun, 2016 pp. 241-245