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> SCIENCEDOMAIN international en-US Asian Research Journal of Mathematics 2456-477X Boundary Value Method for Direct Solution of Sixth-Order Boundary Value Problems <p>In this work, 7<sup>th</sup> order continuous block methods called the Boundary Value Method (BVM) for the numerical approximation of sixth-order boundary Value Problem (BVPs) is proposed. These methods are derived using the Chebyshev polynomial as basis functions. The BVM comprises the main methods and additional methods, put together to form a block method and thus solved simultaneously to obtain an approximate solution for sixth-order BVPs. This method do not require a starting value as it is self-starting. The BVM is found to be consistent and its convergence was discussed. Numerical examples are shown to illustrate the applicability of the method. To show the efficiency of this method, the approximated solution derived from the methods is compared to the exact solutions of the problem and thus maximum errors are recorded and compared to those in other method from literature.</p> Olaiya Olumide O. Azeez Rasaq A. Modebei Mark I. ##submission.copyrightStatement## 2020-06-09 2020-06-09 1 15 10.9734/arjom/2020/v16i830203 Chemostat Model with Periodic Nutrient Input Described by Fourier Series <p>In this paper we present a periodic Chemostat model of two species competing for a single nutrient available in limiting supply. The nutrient input is varied periodically using a Fourier series function to take into account the changing patterns as seasons vary. We show both analytically and numerically that varying the nutrient input using a Fourier Series function results in a better model to describe coexistence of species in natural environments.</p> Jane Ireri Ganesh Pokhariyal Stephene Moindi ##submission.copyrightStatement## 2020-06-10 2020-06-10 16 27 10.9734/arjom/2020/v16i830205 The Inverse Sushila Distribution: Properties and Application <p>In this paper, a new lifetime distribution called the Inverse Sushila Distribution (ISD) is proposed. Its fundamental properties like the density function, distribution function, hazard rate function, survival function, cumulative hazard rate function, order statistics, moments, moments generating function, maximum likelihood estimation, quantiles function, Rényi entropy and stochastic ordering are obtained. The distribution offers more flexibility in modelling upside-down bathtub lifetime data. The proposed model is applied to a lifetime data and its performance is compared with some other related distributions.</p> A. A. Adetunji J. A. Ademuyiwa O. A. Adejumo ##submission.copyrightStatement## 2020-06-18 2020-06-18 28 39 10.9734/arjom/2020/v16i830206 On Hyperoctahedral Enumeration System, Application to Signed Permutations <p>In this paper, we give the definition and basic facts about hyperoctahedral number system. There is a natural correspondence between the integers expressed in the latter and the elements of the hyperoctahedral group when we use the inversion statistic on this group to code the signed permutations. We show that this correspondence provides a way with which the signed permutations group can be ordered. With this classication scheme, we can find the r-th signed permutation from a given number r and vice versa without consulting the list in lexicographical order of the elements of the signed permutations group.</p> Iharantsoa Vero Raharinirina ##submission.copyrightStatement## 2020-06-19 2020-06-19 40 49 10.9734/arjom/2020/v16i830207 Alpha Power Transformed Extended Bur II Distribution: Properties and Applications <p>This paper presents a new generalization of the extended Bur II distribution. We redefined the Bur II distribution using the Alpha Power Transformation (APT) to obtain a new distribution called the Alpha Power Transformed Extended Bur II distribution. We derived several mathematical properties for the new model which includes moments, moment generating function, order statistics, entropy etc. and used a maximum likelihood estimation method to obtain the parameters of the distribution. Two real-world data sets were used for applications in order to illustrate the usefulness of the new distribution.</p> A. A. Ogunde B. Ajayi D. O. Omosigho ##submission.copyrightStatement## 2020-06-22 2020-06-22 50 63 10.9734/arjom/2020/v16i830209 Behaviour under Moving Distributed Masses of Simply Supported Orthotropic Rectangular Plate Resting on a Constant Elastic Bi-Parametric Foundation <p>This work investigates the behavior under Moving distributed masses of orthotropic rectangular plates resting on bi-parametric elastic foundation. The governing equation is a fourth order partial differential equation with variable and singular co-efficients. The solutions to the problem are obtained by transforming the fourth order partial differential equation for the problem to a set of coupled second order ordinary differential equations using the technique of Shadnam et al[1]. This is then simplified using modified asymptotic method of Struble. The closed form solution is analyzed, resonance conditions are obtained and the results are presented in plotted curves for both cases of moving distributed mass and moving distributed force.</p> T. O. Awodola S. Adeoye ##submission.copyrightStatement## 2020-07-04 2020-07-04 64 92 10.9734/arjom/2020/v16i830211 Extinction Growth Model <p><strong>Objectives:</strong> To develop a mathematical model that incorporates genetic defect in estimating the growth rate of roan antelopes in Ruma National Park,Kenya.<br><strong>Methodology:</strong> This study has developed an improved Oksendal and Lungu’s stochastic logistic model to estimates population growth rate of roans by incorporating genetic defect that were not considered by Magin and Cock. Appropriate adjustments were made to Vortex version 9.99 a computer simulation programme to simulate the extinction process.<br><strong>Results:</strong> There is a high-level impact between inbreeding and population growth(survival) in small populations. Supplementation of both juvenile and adult roans ensured population survival for longer period.<br><strong>Conclusion:</strong> Due to unpredictable consequences to the ecosystem and conflict with wildlife management policies in protected areas, this paper recommends supplementation instead of predator control to curb inbreeding which is a major threat to small populations. Supplementation should be done in phases without causing disruption to social groups.</p> Daniel Ochieng Achola ##submission.copyrightStatement## 2020-07-13 2020-07-13 93 107 10.9734/arjom/2020/v16i830212 A Clear Conception of Zero and Infinity with Practical Illustrations <p>This paper presents a clear conception of zero and infinity and furnishes some instances to show how this may be employed in Physics.</p> Okoh Ufuoma ##submission.copyrightStatement## 2020-06-25 2020-06-25 108 139 10.9734/arjom/2020/v16i830213 Fixed Points of Expansive Type Maps in Cone Metric Space over Banach Algebra <p>Our aim of this paper is to prove some fixed point and common fixed theorems for contractive type maps in a cone metric space over Banach algebra, which unify, extend and generalize most of the existing relevant fixed point theorems from Jiang et al. [1].</p> Richa Gupta Anil Bakhru ##submission.copyrightStatement## 2020-08-05 2020-08-05 140 151 10.9734/arjom/2020/v16i830214