Let and be fixed integer numbers. Assume that (a2+b2+c) is divisible by (ab+d) for some natural numbers a and b. Then the value of the fraction $$k ( = {(a^2+b^2+c) \over (ab+d)})$$ remains the same. Statement of this kind will be proved in pp. 1-3 and illustrated on some exam...
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Research Article10.9734/arjom/2022/v18i1130426
In this study, a non-linear system of ordinary differential equation model that describes the dynamics of malaria disease transmission is formulated and analyzed. Conditions are derived from the existence of disease-free and endemic equilibria. The basic reproduction number R0 of...
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Research Article10.9734/arjom/2022/v18i1130425
In this work, we study the Magic Polygons of order 3 (P(n; 2)) and we introduce some properties that were useful to build an algorithm to find out how many Magic Polygons exists for the regular polygons up to 24 sides. The concepts of Equivalents Magic Polygons and Derivatives Ma...
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Research Article10.9734/arjom/2022/v18i1130424
Brucellosis is one of the most common zoonotic infections globally. It affects humans, domestic animals and wildlife. In this paper, we conduct an intrinsic analysis of human brucellosis dynamics in non-periodic and periodic environments. As such we propose and study two mathemat...
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Research Article10.9734/arjom/2022/v18i1030423
this work, we investigate a Cournot-Bertrand duopoly model with product differentiation between two different firms, where one company uses price as a decision variable and the other uses quantity. The stability of the Nash equilibrium point is investigated, and the role of the p...
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Research Article10.9734/arjom/2022/v18i1030422
The PUL-integral is a McShane type of definition in which the notion of a partition of unity is of great importance. It was first introduced by Kurzweil and Jarnik. Recently, Boonpogkrong revisited this definition and presented its, relatively, simplified approach. In this paper,...
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Research Article10.9734/arjom/2022/v18i1030421
The study investigates the usage of online educational media platforms and devices used to access online Mathematics learning. It also identifies the challenges Mathematics pre-service teachers encountered in teaching and learning of Mathematics during the COVID-19 pandemic in th...
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Research Article10.9734/arjom/2022/v18i1030420
This study presents the notion of neutrosophic Z-algebra and neutrosophic pseudo Z-algebra explores some of its properties. Also studied are the neutrosophic Z-ideal, neutrosophic Z-sub algebra, and neutrosophic Z-filter. Several properties are discovered, and some findings from...
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Research Article10.9734/arjom/2022/v18i1030419
Aims/ Objectives: Recently, it has been shown by Ighachane and Akkouchi [1] that using binomial coefficients, one can derive some new refinements of Holder’s inequalities. This inequalities then can be applied to a wide class of special functions such as the Nielsen’s beta functi...
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Research Article10.9734/arjom/2022/v18i1030417
The distribution of the primes in natural number sequence has no simple law, which seems to show a certain degree of randomness. In this paper, we found a hierarchical progression pattern that the prime intervals are gradually tend to be evenly distributed on different orbits bel...
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Research Article10.9734/arjom/2022/v18i1030418
Motion of uid elements can be described by the Navier-Stokes equations. They arise from the use of Law of motion to a uid. In this investigation, two dimensional Navier-Stokes have been engaged. Then they are applied to an incompressible viscous uid movement down an inclined plan...
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Research Article10.9734/arjom/2022/v18i1030416
The introduction of new linear block method for the direct simulation of fourth order IVPs has been developed in this article. The reason for adopting direct simulation of fourth order initial value problems is to address some setbacks in reduction method. When developing the met...
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Research Article10.9734/arjom/2022/v18i1030415
This study intends to provide a fundamental step towards studying the properties of directed graphs with their corresponding generalized topological spaces. A generalized topology (GT) \(\mu\) on a nonempty set X is defined as a family of subsets of X such that \(\Theta\) and an...
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Research Article10.9734/arjom/2022/v18i1030414
Omowo Babajide Johnson, Longe Idowu Oluwaseun, Osakwe Charles Nnamdi, Amuno Elo Oghale & Ejeh Michael Chukwuma·Asian Research Journal of Mathematics·2022
This paper presents the comparison of implicit scheme and modied implicit scheme for solving parabolic partial differential equations, the modied implicit scheme is compared with the implicit scheme using its stability, local truncation error, derivation and numerical examples. F...
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Research Article10.9734/arjom/2022/v18i1030413
In this paper disease transmission dynamics of predator-prey population is studied. Thus we have taken a prey-predator population of species containing of three compartment is developed. These species are Susceptible Prey, Infected Prey, and predator. The functional response of p...
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Research Article10.9734/arjom/2022/v18i930411