In this paper, an Immunity-Susceptible-Exposed-Infectious-Recovery (MSEIR) mathematical model was used to study the dynamics of measles transmission. We discussed that there exist a disease-free and an endemic equilibria. We also discussed the stability of both disease-free and e...
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Research Article10.9734/arjom/2019/v12i330090
In this paper, the active control and time delay control are applied on a nonlinear mechanical system subjected to external force to reduce the resulted vibration. The system is modeled by a unique nonlinear differential equation. The multiple scale perturbation technique (MSPT)...
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Research Article10.9734/arjom/2019/v12i430091
The problems of characterizing maps that preserve certain invariant on given sets are called the preserving problems, which have become one of the core research areas in matrix theory. If for any A1 ⊕···⊕ Ak’B1 ⊕···⊕ Bk ∈ M n1 ⊕···⊕ Mnk, a linear map, Φ : Mn1 ⊕···⊕ Mnk → Mn1 ⊕···...
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Research Article10.9734/arjom/2019/v12i330089
The combined effects of chemical reaction, radially applied magnetic field and Hall effect on entropy generation of a steady third grade magnetohydrodynamic fluid flowing through a uniformly circular pipe was studied. The governing equations are presented and the resulting non-li...
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Research Article10.9734/arjom/2019/v12i330086
In this paper, a fractional-order mathematical model for n species competing, in a chemostat, for a single resource is proposed. The global dynamics was studied using Lyapunov theory, for any set of increasing growth functions. Obtained results generalize and improve the well-kno...
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Research Article10.9734/arjom/2019/v12i330085
In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions. We also derived integral inequalities of Hermite-Hadamard type for product and quotient of multiplicatively convex...
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Research Article10.9734/arjom/2019/v12i330084
In the present work, a fractional-order differential equation based on the Susceptible-Infected- Recovered (SIR) model with nonlinear incidence rate in a continuous reactor is proposed. A profound qualitative analysis is given. The analysis of the local and global stability of eq...
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Research Article10.9734/arjom/2019/v12i230082
We consider planar GCn node sets, i.e., n-poised sets whose all n-fundamental polynomials are products of n linear factors. Gasca and Maeztu conjectured in 1982 that every such set possesses a maximal line, i.e., a line passing through n + 1 nodes of the set. Till now the conject...
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Research Article10.9734/arjom/2019/v12i230083
This paper is devoted to find the form of the solutions of a rational difference equations with arbitrary positive real initial conditions. Specific form of the solutions of two special cases of this equation are given.
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Research Article10.9734/arjom/2019/v12i230081
We manifest some fixed point and common fixed point results for non-Newtonian expansive maps defined on non-Newtonian metric spaces. The results offered in this article comprise non-Newtonian metric generalizations of some fixed point results in the literature.
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Research Article10.9734/ARJOM/2019/46298
In this work, fifth-order Boundary-Value Problems (BVPs) in Ordinary Differential Equation are solved numerically using Boundary Value Method. Continuous linear multistep methods are developed with continuous coefficients. This constitutes appropriate methods termed the main and...
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Research Article10.9734/ARJOM/2019/46477
Recently the existence of random attractors for a stochastic reaction-diffusion equation without distribution derivatives has been studied by many authors, the existence of global attractors was established for the deterministic reaction-diffusion equation with distribution deriv...
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Research Article10.9734/ARJOM/2019/46304
Tuberculosis (TB) is an infectious disease that usually affect the lungs. It is caused by bacteria and spread through the air. Due to the high rate of spread and later leads to death due to TB, this led to formulation of a model in order to enlighten the public and health departm...
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Research Article10.9734/ARJOM/2019/45821
In this work, nonlinear vibration of microbeams under magnetic field is studied. The equation governing motion of microbeam resting on a linear elastic layer and under magnetic field is derived by using the modified couple stress theory and Hamilton’s principle. Amplitude–frequen...
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Research Article10.9734/ARJOM/2019/46392
We define two integer sequences that depend on a parameter and that are related to each other by two recurrence relations. Then we find the Binet formula for the terms of these sequences and, by developing it, we will get an equivalent combinatorial formula. We show that each seq...
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Research Article10.9734/ARJOM/2019/45436