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...
Open access
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.
Open access
Research Article10.9734/ARJOM/2019/46298