Asian Research Journal of Mathematics <p style="text-align: justify;"><strong>Asian Research Journal of Mathematics (ISSN: 2456-477X)</strong> aims to publish high-quality papers (<a href="/index.php/ARJOM/general-guideline-for-authors">Click here for Types of paper</a>) in all areas of ‘Mathematics and Computer Science’. By not excluding papers on the basis of novelty, this journal facilitates the research and wishes to publish papers as long as they are technically correct and scientifically motivated. The journal also encourages the submission of useful reports of negative results. This is a quality controlled, OPEN peer-reviewed, open access INTERNATIONAL journal.</p> en-US (Asian Research Journal of Mathematics) (Asian Research Journal of Mathematics) Sat, 15 Aug 2020 08:33:29 +0000 OJS 60 Radiative Effects on Unsteady MHD Couette Flow through a Parallel Plate with Constant Pressure Gradient <p>In this paper, the unsteady MHD Couette flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction is investigated. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to the constant pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using the Eigenfunction expansion technique. The influence of some emerging non-dimensional parameters namely, pressure gradient, suction parameter, radiation parameter, and Hartman number are examined in detail. It is observed that the primary velocity is increased with increasing pressure gradient while the increase in radiation parameter leads to adecrease in the thermal profile of the flow.</p> E. O. Anyanwu, R. O. Olayiwola, M. D. Shehu, A. Lawal ##submission.copyrightStatement## Sat, 15 Aug 2020 00:00:00 +0000 Formulation of a Mathematical Model for the Transmission Dynamics of Infectious Bursal Disease (IBD), Incorporating Eects of Environmental Factors <p>In this paper, we develop a four compartment model that explain the transmission dynamics of infectious bursal disease, considering the effects of environmental factors. Ordinary differential equations have been used in formulation of the model. Reproductive number (R0) has been derived using Next Generation Matrix. The disease free equilibrium is analyzed using Jacobian matrix and found to be locally and globally asymptotically stable when R0 &lt; 1. We employ Routh-Hurwitz stability criterion to analyze the stability of endemic equilibrium. The numerical results indicates that contact with contaminated environment enhances the rate of transmission of the disease in the system.</p> Emily Atieno Omollo, George Kimathi ##submission.copyrightStatement## Fri, 21 Aug 2020 00:00:00 +0000 Inverse Analogue of Ailamujia Distribution with Statistical Properties and Applications <p>The present paper deals with the inverse analogue of Ailamujia distribution (IAD). Several statistical properties of the newly developed distribution has been discussed such as moments, moment generating function, survival measures, order statistics, shanon entropy, mode and median .The behavior of probability density function (p.d.f) and cumulative distribution function (c.d.f) are illustrated through graphs. The parameter of the newly developed distribution has been estimated by the well known method of maximum likelihood estimation. The importance of the established distribution has been shown through two real life data.</p> Ahmad Aijaz, Afaq Ahmad, Rajnee Tripathi ##submission.copyrightStatement## Thu, 27 Aug 2020 00:00:00 +0000 Sensitivity Analysis of Hepatitis B Virus Epidemic Model <p>The aim of this work is to carry out detailed sensitivity analysis of each parameter in order to know their relative importance in the epidemiological model. This mathematical model for hepatitis B virus is a system of non-linear differential equations which represents the interaction between diseases classes and other epidemiological parameters. The disease free equilibrium points and basic reproduction number of the cases were analyzed using the next generation matrix method.&nbsp; Sensitivity analysis of with respect to the model parameters was carried out using normalized forward sensitivity index with graphical illustrations for clarity on the effects of these parameters. This analysis showed transmission rate &nbsp;as the most sensitive parameter which means a reduction to zero of the transmission rate could lead to eradicating HBV infection. It was deduced that sensitivity analysis of these model parameters gives an insight into how best the spread of Hepatitis B Virus could be curtailed.</p> Folahan S. Akinboro, O. O. Kehinde, S. Alao, A. D. Adediipo ##submission.copyrightStatement## Fri, 28 Aug 2020 00:00:00 +0000 (F, L) Contractions on Complete Weak Partial Metric Spaces for a Commuting Family of Self Mappings <p>The aim of this paper is to clarify the choice of the self map T : X → X in Kaya et als (F,L) weak contractions by choosing a family Tn, n ∈ N of (F,L) contractions. Motivated by the fact that the uniform limit T of the family of self maps is a better approximation, we are guaranteed the choice of the self map. By this, the choice of T is no longer arbitrary. Again, for any nite family T1, T2, T3, · · · , TN of (F,L) contractions their composition is an (F,L) contraction. This concept generalizes and improves on several results especially Theorems 3.1 and 3.2 of [10].</p> K. Piesie Frimpong ##submission.copyrightStatement## Sat, 29 Aug 2020 00:00:00 +0000 Impact of Thermal Radiation and Heat Source on MHD Blood Flow with an Inclined Magnetic Field in Treating Tumor and Low Blood Pressure <p>In this paper, we will be analyzing the impact of thermal radiation and heat source on blood flow past a horizontal channel that is permeable with an applied magnetic field that is inclined at variable angles. The non-linear higher partial differential equation which is the governing equation is transformed to ordinary differential equations using non-dimensional variable to non-dimensional equations that is then solved analytically with the application of required boundary conditions for the blood flow and temperature equations which is a function of y and t. Parameters that are varied shows an effect on the blood flow and temperature profile with the presentation of results shown graphically and results clearly discussed. Observations from the research shows that when the thermal radiation increases, there will be a mixed effect in the flow of blood, increase in the magnetic field on the artery shows an increase in flow of blood while the blood flow reduces and the temperature of the blood increases when the heat source is increased. Other parameters also shows an effect on the flow of the blood.</p> Ekakitie Omamoke, Emeka Amos, Efere Jatari ##submission.copyrightStatement## Fri, 04 Sep 2020 00:00:00 +0000 On the Algebraic Properties of Quasi-affine Bijective Transformations <p>A quasi-affine transformation, being the whole part of a rational affine transformation, is the discretized form of an affine transformation. Introduced by Marie-André Jacob-Da Col, it has been the subject of numerous studies. This article is devoted to the study of the algebraic structures of some quasi-affine bijective transformations, in particular the discrete translations of isolated points and Pythagorean rotations.</p> Charles Mbuyi Kalubi, Alain Musesa Landa ##submission.copyrightStatement## Mon, 07 Sep 2020 00:00:00 +0000 On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers <p><span class="fontstyle0">In this paper, we present Binet’s formulas, generating functions, and the summation formulas for&nbsp;generalized Pentanacci numbers, and as special cases, we investigate Pentanacci and PentanacciLucas numbers with their properties. Also, we define Gaussian generalized Pentanacci numbers&nbsp;and as special cases, we investigate Gaussian Pentanacci and Gaussian Pentanacci-Lucas numbers&nbsp;with their properties. Moreover, we give some identities for these numbers. Furthermore, we&nbsp;present matrix formulations of generalized Pentanacci numbers and Gaussian generalized&nbsp;Pentanacci numbers.</span></p> Yüksel Soykan ##submission.copyrightStatement## Thu, 10 Sep 2020 00:00:00 +0000 Effect of Thermal Radiation on an Unsteady Magnetohydrodynamic Double Diffusive Boundary Layer Flow past a Permeable Infinite Vertical Plate with Heat Source <p>In this paper, effect of radiation and heat source parameters on temperature, concentration and velocity profile of an electrically conducting fluid passing through an infinite permeable plate is investigated. The governing equation, which was based on the balanced mass, linear momentum, energy and species concentration, were non-dimensionalized to reduce the equations to system of ordinary differential equations. This was then solved by perturbation technique. Effects of radiation parameter, heat source parameter, and Schmidt parameter are analyzed. We observed that the velocity and concentration profiles increase with increase in radiation parameter and heat source parameter. The temperature profile increases with decrease in radiation parameter with increases boundary layer thickness.</p> O. O. Kehinde, F. S. Akinboro, A. D. Adediipo ##submission.copyrightStatement## Tue, 22 Sep 2020 00:00:00 +0000 Forecasting of New Cases of COVID-19 in Nigeria Using Autoregressive Fractionally Integrated Moving Average Models <p>The emergence of global pandemic known as COVID-19 has impacted significantly on human lives and measures have been taken by government all over the world to minimize the rate of spread of the virus, one of which is by enforcing lockdown. In this study, Autoregressive fractionally integrated moving average (ARFIMA) Models was used to model and forecast what the daily new cases of COVID-19 would have been ten days after the lockdown was eased in Nigeria and compare to the actual new cases for the period when the lockdown was eased.&nbsp; The proposed model ARFIMA model was compared with ARIMA (1, 0, 0), and ARIMA (1, 0, 1) and found to outperform the classical ARIMA models based on AIC and BIC values. The results show that the rate of spread of COVID-19 would have been significantly less if the strict lockdown had continued. ARFIMA model was further used to model what new cases of COVID-19 would be ten days ahead starting from 31st of August 2020. Therefore, this study recommends that government should further enforce measures to reduce the spread of the virus if business must continue as usual.</p> Olumide Sunday Adesina, Samson Adeniyi Onanaye, Dorcas Okewole, Amanze C. Egere ##submission.copyrightStatement## Sat, 26 Sep 2020 00:00:00 +0000