https://journalarjom.com/index.php/ARJOM/issue/feed Asian Research Journal of Mathematics 2022-05-25T06:54:48+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/30382 Clustering Coefficient of the Tensor Product of Graphs 2022-05-24T06:20:22+00:00 Remarl Joseph M. Damalerio rjdamalerio@gmail.com Rolito G. Eballe <p>Clustering coefficient is one of the most useful indices in complex networks. However, graph theoretic properties of this metric have not been discussed much in the literature, especially in graphs resulting from some binary operations. In this paper we present some expressions for the clustering coefficient of the tensor product of arbitrary graphs, regular graphs, and strongly regular graphs. A Vizing-type upperbound and a sharp lower bound for the clustering coefficient of the tensor product of graphs are also given.</p> 2022-05-21T00:00:00+00:00 ##submission.copyrightStatement## https://journalarjom.com/index.php/ARJOM/article/view/30384 Global Clustering Coefficient of the Products of Complete Graphs 2022-05-25T06:54:48+00:00 Remarl Joseph M. Damalerio rjdamalerio@gmail.com Rolito G. Eballe <p>The global clustering Coefficient Cc(G) of a connected graph G of order at least 3 is a metric&nbsp;that somehow measures how close G to being a complete graph. Its value ranges from 0 to 1. In this paper, we will show that for the tensor product&nbsp;K<sub>m</sub> ⊗ K<sub>m</sub>&nbsp;and cartesian product Km ʘ&nbsp;Km&nbsp; Cc(Km⊗Km) and Cc(Km ʘ Km&nbsp;) approach to 1 and 1=2, respectively, as m → ∞.</p> 2022-05-23T00:00:00+00:00 ##submission.copyrightStatement## https://journalarjom.com/index.php/ARJOM/article/view/30380 Cost Effective Analysis on Mathematical Modelling of HIV/AIDS with Optimal Control Strategy 2022-05-17T12:34:10+00:00 Eshetu Dadi Gurmu eshetudadi1@gmail.com Boka Kumsa Bole Purnachandra Rao Koya <p>In this paper, a deterministic model of the Human Immunodeficiency Virus has been formulated to describe the transmission dynamics of the disease. The good posedness of the model equations was proved and the equilibrium points of the model have been identified. Basic reproduction numbers were used to establish both local and global stability of the disease-free and endemic equilibrium points of the model equation. The analysis reveals that if the basic reproduction is smaller than one, the solution converges to the disease-free steady-state, which is locally asymptotically stable. If the fundamental reproduction number is more than one, the solution converges to the endemic equilibrium point, which is locally asymptotically stable., sensitivity analysis of the model equation was performed on the key parameters to find out their relative significance and potential impact on the transmission dynamics of the Human Immunodeficiency Virus. The results of the simulation show that treatment minimizes the risk of Human Immunodeficiency Virus transmission from the community and the stability of disease-free equilibrium is achievable when basic reproduction is less. The findings from the analysis of cost-effectiveness revealed that a combination of prevention and screening is the most effective strategy to eradicate the disease from the community.</p> 2022-05-17T00:00:00+00:00 ##submission.copyrightStatement## https://journalarjom.com/index.php/ARJOM/article/view/30381 Modeling Addition of Dissimilar Fractions: Misconceptions of Pre-service Teachers 2022-05-24T06:19:43+00:00 Mary June T. Adalla maryjunetanadalla@yahoo.com Ronato S. Ballado <p>Fractions and learning about them have been consistently difficult for students. This difficulty, grounded on the lack of conceptual knowledge, results in errors in performing operations with fractions. This descriptive study explored the errors in adding dissimilar fractions and misconceptions on modeling fractions among 265 pre-service teachers. The study utilized an open-ended question asking for the procedural computation and the modeling of the addition of two dissimilar fractions as a data-gathering instrument. The findings of the study revealed that the majority of the respondents got the required answer correctly in the question requiring procedural knowledge. In the question requiring the fractions to be modeled, only a few were able to model the fractions correctly. A big percentage of respondents either had no answer to the question or expressed the modeling of fractions in a rule. The study further revealed varied misconceptions on how adding dissimilar fractions are modeled. Recommendations on improving the conceptual knowledge of students as early as elementary grades are promoted.</p> 2022-05-21T00:00:00+00:00 ##submission.copyrightStatement## https://journalarjom.com/index.php/ARJOM/article/view/30383 Containing SARS COV 2 (COVID 19) through Social Distancing 2022-05-25T06:54:15+00:00 Daniel Achola dachola@kabarak.ac.ke <p>2019-nCoV/SARS-CoV2 is a highly pathogenic human corona virus transmitted by respiratory droplets with an incubation period of 2-14 days. It is both a public health and economic threat worldwide. In this study, a deterministic mathematical model based on systems of ordinary differential equations for the dynamics of 2019-nCoV/SARS-CoV2 transmission incorporating social distancing as a control measure has been derived. The steady states have also been analysed for stability using the basic reproduction number. Numerical simulations carried out using MATLAB R2021b shows that social distancing intervention is key to reduction in the infection rate of 2019-nCoV/SARS-nCoV2. This study recommends implementation of public policies on public gatherings such as political rallies, worship centers,market places, football matches to curb the potential chain transmission in a pandemic contagion.</p> 2022-05-23T00:00:00+00:00 ##submission.copyrightStatement##