https://journalarjom.com/index.php/ARJOM/issue/feed Asian Research Journal of Mathematics 2020-11-28T06:43:29+00:00 Asian Research Journal of Mathematics contact@journalarjom.com Open Journal Systems <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> https://journalarjom.com/index.php/ARJOM/article/view/30237 Numerical Solution of Delay Differential Equations via the Reproducing Kernel Hilbert Spaces Method 2020-11-27T11:13:25+00:00 Reham K. Alshehri Banan S. Maayah Abdelhalim Ebaid aebaid@ut.edu.sa <p>Delay differential equations (DDEs) are generalization of the ordinary differential equation (ODEs), which is suitable for physical system that also depends on the past data. In this paper, the Reproducing Kernel Hilbert Spaces (RKHS) method is applied to approximate the solution of a general form of first, second and third order fractional DDEs (FDDEs). It is a relatively new analytical technique. The analytical and approximate solutions are represented in terms of series in the RKHS.</p> 2020-11-27T00:00:00+00:00 ##submission.copyrightStatement## https://journalarjom.com/index.php/ARJOM/article/view/30238 Stability Analysis of the Disease Free Equilibrium of Malaria, Dengue and Typhoid Triple Infection Model 2020-11-28T06:43:29+00:00 T. J. Oluwafemi dayofemi985@gmail.com E. Azuaba Y. M. Kura <p>A Mathematical model of a system of non-linear differential equation is developed to study the transmission dynamics of malaria, dengue and typhoid triple infection. In this work, the basic reproduction number is derived using the Next Generation Matrix, also we computed the disease free equilibrium point. The disease free equilibrium (DFE) point is analyzed and was found that the DFE is locally stable but may be globally unstable when R<sub>0<strong> &lt;</strong> 1.</sub></p> 2020-11-28T00:00:00+00:00 ##submission.copyrightStatement##