https://mjs.um.edu.my/issue/feedMJS2019-03-04T03:47:31+00:00Dr. P. Agamuthuprofagamuthu@gmail.comOpen Journal Systems<p><em>Malaysian Journal of Science</em>, launched in 1972, is the official peer-reviewed open access journal of the <a href="https://fs.um.edu.my/">Faculty of Science, University of Malaya</a>. The Journal is published four times a year (January, April, July, October) and is indexed in Scopus, EMBASE, Compendex, GEOBASE, EMBiology, Elsevier BIOBASE, FLUIDEX ,World Textiles, CAB Abstracts, Chemical Abstracts Service Database and ASEAN Citation Index (ACI).</p> <p>MJS is a reputable journal with a growing number of audience, which focuses on current developments in all disciplines of science. The journal publishes original articles, review articles, short communications and case reports that are of importance to the scientific community.</p> <p style="text-align: justify;"><strong>eISSN :2600-8688</strong><strong><br> <strong>Print ISSN: 1394-3065</strong><br> <strong>Publisher: Faculty of Science, University of Malaya</strong></strong> </p> <p><strong><br><br></strong></p> <p><strong> </strong></p> <p style="text-align: justify;"> </p>https://mjs.um.edu.my/article/view/14290 Basic Epidemic Model of Dengue Transmission Using the Fractional Order Differential Equations2019-03-04T03:47:31+00:00Nur 'Izzati Hamdanizzati.hamdan@gmail.comAdem Kilicmanakilic@upm.edu.my<p>Dengue is normally emerging in tropical and subtropical countries and now has become a serious health problem. In Malaysia, dengue is considered endemic for the past few years. A reliable mathematical model of dengue epidemic is crucial to provide some means of interventions in controlling the spread of the disease. Many mathematical models have been proposed and analyzed in the literature, but very little of them used fractional order derivative in analyzing the dengue transmission. In this paper, a study on a basic fractional order epidemic model of dengue transmission is conducted using the SIR-SI model, including the aquatic phase of the vector. The population size of the human is assumed to be constant. The threshold quantity R0 is attained by the next generation matrix method. The preliminary result of the study is presented. It has shown that the disease-free equilibrium is locally asymptotically stable when R0 < 1, and unstable when R0 > 1. In other words, the dengue disease is eliminated if R0 < 1, and it approaches a positive endemic equilibrium if R0 > 1. Finally, some numerical results are presented based on the real data in Malaysia in 2016.</p>2019-02-22T00:00:00+00:00##submission.copyrightStatement##https://mjs.um.edu.my/article/view/14296 Stability Analysis of a Rotating Flow toward a Shrinking Permeable Surface in Nanofluid2019-02-28T08:17:28+00:00Siti Nur Alwani Sallehalwani24salleh@gmail.comNorfifah Bachoknorfifah@upm.edu.myNorihan Md Arifinnorihana@upm.edu.my<p>The rotating boundary layer flow over a shrinking permeable surface in nanofluid is numerically studied. Appropriate transformations are utilized to convert the partial differential equations into nonlinear ordinary differential equations. Later, these equations are determined by using the implemented package, called bvp4c through MATLAB software. The numerical results reveal that there is more than one solution called dual solutions obtained for a certain region of the rotation and suction parameters. A stability analysis has been done to identify a stable solution that relies on the sign of the eigenvalues obtained. Based on this analysis, the upper branch solutions indicate a stable solution, while the lower branch solutions indicate an unstable solution.</p>2019-02-22T06:34:47+00:00##submission.copyrightStatement##https://mjs.um.edu.my/article/view/14300 Comparisons of Heinz Operator Means with Different Parameters2019-02-28T08:17:28+00:00Aliaa Abdeljawwad BurqanAliaaBurqan@yahoo.com<p>This article aims to present new comparisons of Heinz operator means with different parameters by the help of appropriate scalar comparisons and the monotonicity principle for bounded self-adjoint Hilbert space operators. In particular, for any positive operators , we establish this inequality</p> <p>where satisfying</p> <p> and</p>2019-02-22T06:35:17+00:00##submission.copyrightStatement##https://mjs.um.edu.my/article/view/14304 A Guaranteed Pursuit Time in a Differential Game in Hilbert Space2019-02-28T08:17:28+00:00Gafurjan Ibragimovibragimov@upm.edu.myUsman Waziriusmanwazirimth@yahoo.comIdham Arif Aliasidham_aa@upm.edu.myZarina Bibi Ibrahimzarinabb@upm.edu.my<p>We study a pursuit differential game problem of one pursuer and one evader in the Hilbert space l_2. The differential game is described by an infinite number of first-order 2-systems of linear differential equations. The control functions of players are subjected to integral constraints. Game is started from the given initial position z^0. It is given another point z^1 in the space l_2. If the state of the infinite system coincides with the point z^1 at some time, then pursuit is considered completed. Our purpose is to obtain an equation to find a guaranteed pursuit time and construct a strategy for the pursuer.</p>2019-02-22T06:35:46+00:00##submission.copyrightStatement##https://mjs.um.edu.my/article/view/14321 Performance Analysis of Solving Poisson Image Blending Problem by Four-Point EGAOR Iterative Method2019-02-28T08:17:28+00:00Jeng Hong Engjenghong93@gmail.comAzali Saudiazali@ums.edu.myJumat Sulaimanjumat@ums.edu.my<p>Poisson image blending is one of the useful editing tools in image processing to generate a desirable image which is impossible to acquire. The key to this solution is to obtain the unique solution of Poisson equation. Thus, the motivation of this paper is to examine the effectiveness of 4-EGAOR block iterative method to solve the linear system generated from the Poisson image blending problem. This explicit group iterative method has been shown that is more superior than other point iterative method in solving other numerical problems. Thus, in order to evaluate the performance of 4-EGAOR block iterative method, point SOR and AOR iterative methods is used for comparison purpose. Numerical results shown that 4-EGAOR iterative method has improved the computational time taken and reduced the number of iterations used. Besides, the new images generated by the proposed block iterative method are giving a satisfactory visual effect.</p>2019-02-22T06:36:29+00:00##submission.copyrightStatement##https://mjs.um.edu.my/article/view/14302 ANOTHER PROOF OF WIENER'S SHORT SECRET EXPONENT2019-03-01T08:29:06+00:00Muhammad Asyraf Asbullahma_asyraf@upm.edu.myMuhammad Rezal Kamel Ariffinma_asyraf@upm.edu.my<p>Wiener’s short secret exponent attack is a well-known crypt-analytical result upon the RSA cryptosystem using a Diophantine’s method called continued fractions. We recall that Wiener’s attack works efficiently on RSA with the condition that the secret exponent. Later, the upper bound was improved satisfying. In this work, we present another proof to Wiener’s short secret exponent satisfying. We remark that our result is slightly better than the previously mentioned attacks.</p>2019-02-22T06:36:57+00:00##submission.copyrightStatement##