Open Access Original Research Article

Predicting Microfinance Credit Default: A Study of Nsoatreman Rural Bank, Ghana

Ernest Yeboah Boateng, Francis T. Oduro

Journal of Advances in Mathematics and Computer Science, Page 1-9
DOI: 10.9734/JAMCS/2018/33569

This paper examined the factors predicting microfinance credit default in Northern Ghana. Data was collected from 409 microcredit beneficiaries of Nsoatreman Rural Bank who were located in urban, semi-rural and rural areas. Logistic regression was used to analyse the data. It was evident from the study that factors such as educational level, number of dependents, type of  loan, adequacy of the loan facility, duration for repayment of loan, number of years in business, cost of capital and period within the year the loan was advanced to the client had a significant effect on credit default. To enhance the efficient management of microcredit, it is encouraged that Microfinance Institutions (MFI’S) adopt the group loan policy as the main mode of advancing micro loans to clients rather than the individual loan policy. Again, the MFI’S should team up with the Ministry of Education through the Non-Formal Education Division to organize functional literacy workshops for microcredit beneficiaries so as to equip them with the required knowledge to do successful business. Also, the MFI’S should consider giving loans with repayment duration of at least 12 months and at most 24 months.

Open Access Original Research Article

A Class of Linear Multi-step Method for Direct Solution of Second Order Initial Value Problems in Ordinary Differential Equations by Collocation Method

N. S. Yakusak, A. O. Owolanke

Journal of Advances in Mathematics and Computer Science, Page 1-11
DOI: 10.9734/JAMCS/2018/34424

In this work, we proposed a linear multi-step method for solution of second order Initial Value Problems (IVP), using power series function as the trail solution for the approximation via collocation techniques. The resulting scheme is self-starting, consistent, zero-stable, convergent with good region of absolute stability. Numerical and graphical results are presented tabularly.

Open Access Original Research Article

Properties of Annihilators in Lattice Wajsberg Algebras

A. Ibrahim, C. Shajitha Begum

Journal of Advances in Mathematics and Computer Science, Page 1-11
DOI: 10.9734/JAMCS/2018/38260

In this paper, we introduce the notion of the annihilator in lattice Wajsberg algebra and investigate some related properties of it. We show that the annihilator is a WI-ideal. In further note, we discuss relationship between the annihilator and a WI-ideal in the article. Moreover, we investigate some properties of the lattice implication homomorphism image of annihilators, and also give the necessary and sufficient condition of the lattice implication homomorphism image, and we obtain lattice implication homomorphism and isomorphism inverse images of annihilators in lattice from Wajsberg algebras.

Open Access Original Research Article

Stability Analysis of Zika – Malaria Co-infection Model for Malaria Endemic Region

John Amoah-Mensah, I. K. Dontwi, E. Bonyah

Journal of Advances in Mathematics and Computer Science, Page 1-22
DOI: 10.9734/JAMCS/2018/37229

This article proposes a system of nine nonlinear dynamical model to study transmission dynamics of both Zika and Malaria in malaria-endemic areas such as Kedougou in the Southeastern part of Senegal and other parts of the world where it is possible to have co-infection of the two diseases simultaneously. The model is divided into three sub-models: Zika only, Malaria only and both Zika-Malaria to address the best possible strategy to control both diseases concurrently.

Stability analysis was performed on the model to determine the disease-free and the endemic equilibria. Sensitivity analysis on the basic reproduction number indicated that by improving the recovery rate of both diseases, the basic reproduction number can be reduced considerably. It is also confirmed from Fig. 5 that, the best approach to control or eliminate the diseases is to improve the recovery rate of both diseases simultaneously. Thus increasing recovery rates are shown to have great impact in decreasing the basic reproduction number.

Open Access Original Research Article

MHD Stagnation Point-flow of Micropolar Fluids Past a Permeable Stretching Plate in Porous Media with Thermal Radiation, Chemical Reaction and Viscous Dissipation

E. O. Fatunmbi, A. Adeniyan

Journal of Advances in Mathematics and Computer Science, Page 1-19
DOI: 10.9734/JAMCS/2018/38595

The study investigates the steady two-dimensional, stagnation point, heat and mass transfer of an incompressible, electrically conducting micropolar fluid flow past a permeable stretching plate in a Darcy-Forchheimer porous medium. The presence of thermal radiation, chemical reaction, viscous dissipation, heat source/sink and variable thermal conductivity are examined. The governing partial differential equations of the fluid flow are transformed into non-linear ordinary differential equations using similarity variables. The resulting equations are solved by fourth order Runge-Kutta integration scheme alongside shooting method. Furthermore, the effects of embedded governing parameters on the dimensionless velocity, temperature, microrotation and concentration profiles are presented graphically. Similarly, the influences of the physical flow parameters on the Skin friction, Nusselt number, Sherwood and Wall couple stress are examined and presented in tables. Comparison of the present results with the published results in the literature in some limiting situations shows a perfect agreement.