Skip to content

All published articles 700

Global Dynamics of Fractional-order Model for Malaria Disease Transmission

Mlyashimbi Helikumi & Paride O. Lolika · Asian Research Journal of Mathematics · 2022

In this study, we formulated and analyzed a fractional-order model for malaria disease transmission using Atangana-Beleanu-Caputo in sense to study the effects of heterogeneity vector biting exposure on the human population. To capture effects the heterogeneity vector biting expo...

Open access Research Article 10.9734/arjom/2022/v18i930409

Some Fundamental Properties of Variational Kurzweil-Henstock-Stieltjes Integral on a Compact Interval in Rn

Develin O. Omayan & Greig Bates C. Flores · Asian Research Journal of Mathematics · 2022

Hoffman introduced the variational Kurzweil-Hentock-Stieltjes integral on a real-valued function and presented some of its properties. In this paper, we defined the variational Kurzweil-Henstock-Stieltjes integral on a compact interval in Rn. Fundamental properties such as unique...

Open access Research Article 10.9734/arjom/2022/v18i930408

Structuring Wicked Problems in Nigeria: The Operations Research Approach

N. Nyor, U. Y. Abubakar, M. Jiya, F. Terdoo, T. Iorlamen, O. M. Adetutu, P. O. Evans & E. D. Dzarma · Asian Research Journal of Mathematics · 2022

The aim of this paper is to unravel the nature of some current problems in Nigeria as being wicked and ill structured. Since such problems are messy in nature, they cannot be handled by traditional research procedures. However, Operations Research offers dynamic models in which s...

Open access Research Article 10.9734/arjom/2022/v18i930407

Hinge Total Domination on Some Graph Families

Leocint F. Consistente & Isagani S. Cabahug, Jr. · Asian Research Journal of Mathematics · 2022

set S of vertices in a graph G = (V (G);E(G)) is a hinge dominating set if every vertex \(u\) \(\in\) V \(\setminus \) \(S\) is adjacent to some vertex \(u\) \(\in\) \(S\) and a vertex \(w\) \(\in\) V \(\setminus\) \(S\)  such that (\(v\), \(w\)) is not an edge in E(G). The hinge...

Open access Research Article 10.9734/arjom/2022/v18i930404

Some Elementary Properties of Kurzweil-Henstock-Stieltjes Integral on \(\mathbb{R}^n\)

Justine Bryle C. Macaso & Greig Bates C. Flores · Asian Research Journal of Mathematics · 2022

Kurzweil-Henstock integral is a generalization of the Reimann integral. In this paper, we established the definition of Kurzweil-Henstock-Stieltjes integral on \(\mathbb{R}\)n via gauge type approach where integrand and integrator are all real-valued functions defined on a compac...

Open access Research Article 10.9734/arjom/2022/v18i930403

Safe Sets in Some Graph Families

Klarice Shaira R. Tan & Isagani S. Cabahug, Jr. · Asian Research Journal of Mathematics · 2022

For a connected simple graph G , a non-empty set \(S \subseteq V(G)\)  of vertices is a safe set if, for every component \(A \text { of }\langle S\rangle_{G}\) and every component \(B \text { of }\langle V(G)-S\rangle_{G}\) adjacent to A , it holds that \(|A| \geq|B|\). The safe...

Open access Research Article 10.9734/arjom/2022/v18i930399

A 3-Person Non-Zero-Sum Game for Sachet Water Companies

Ngutor Nyor, Muhammad Izhar Muazu & Samuel Abu Somma · Asian Research Journal of Mathematics · 2022

The business of Sachet water (popularly called pure water) in Nigeria is often competitive due to the high demand for Sachet water by the populace. This is so because sachet water is the most affordable form of pure drinking water in Nigeria. As such, Sachet Water Firms that want...

Open access Research Article 10.9734/arjom/2022/v18i830398

Magnetohydrodynamic Jeffrey Nanofluid Flow Over a Vertical Sheet

Wekesa Waswa Simon & Winifred Nduku Mutuku · Asian Research Journal of Mathematics · 2022

Aim: This study focuses on the numerical analysis of Jeffrey nano-fluid bound with magnetic field in presence of convectively heated boundary. Study Design: Abstract, introduction, Equations formulation, numerical analysis and conclusion Place and Duration of Study: Department of...

Open access Research Article 10.9734/arjom/2022/v18i830396

Spectral Properties of Compact Operators

Amonyela Hillary Isabu, Achiles Nyongesa Simiyu & Aldrin Wekesa Wanambisi · Asian Research Journal of Mathematics · 2022

The spectral properties of a compact operator \(T : X \longrightarrow Y\) on a normed linear space resemble those of square matrices. For a compact operator, the spectral properties can be treated fairly completely in the sense that Fredholm's famous theory of integral equations...

Open access Research Article 10.9734/arjom/2022/v18i830397

On the Restrained Cost Eective Sets of Some Special Classes of Graphs

Darwin P. Mangubat & Isagani S. Cabahug, Jr. · Asian Research Journal of Mathematics · 2022

Let G be a nontrivial, undirected, simple graph. Let S be a subset of V (G). S is a restrained cost effective set of G if for each vertex v in S, degS(v) \(\leq\) degV (G)rS(v) and the subgraph induced by the vertex set, V (G) r S has no isolated vertex. The maximum cardinality o...

Open access Research Article 10.9734/arjom/2022/v18i830395

Calculus of Orthogonal Projectors

Alwanyi Kevin Shilaviga, Achiles Nyongesa Simiyu & Olege Fanuel · Asian Research Journal of Mathematics · 2022

It is possible to express all geometric notions connected with closed linear subspaces in terms of algebraic properties of the orthoprojectors onto these linear spaces. In this paper, sufficient conditions for the calculus of a family of orthoprojectors in B(H) have been given wi...

Open access Research Article 10.9734/arjom/2022/v18i830394

Exploring Concrete Teaching Strategies using the Mathematics Laboratory Method to Enhance Learner Achievements in Zambian Secondary Schools

Kennedy Mwila, Darius Mangwatu, Enala S. Lufungulo, Alex Mugala, Maimbolwa Namuchana, Onwubuya Gift Chinemerem & Manuel Siampule · Asian Research Journal of Mathematics · 2022

This study sought to investigate the effectiveness of the mathematics laboratory method in enhancing learner achievements in mathematics of Grade 12 pupils. The specific objectives of this study were to; investigate the extent to which the Mathematics Laboratory Method enhances G...

Open access Research Article 10.9734/arjom/2022/v18i830392