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Mathematical Model of the Transmission Dynamics of Corona Virus Disease (COVID-19) and Its Control

Atokolo William, Omale David, Bashir Sezuo Tenuche, Olayemi Kehinde Samuel, Daniel Musa Alih & Akpa Johnson · Asian Research Journal of Mathematics · 2021

This work is aimed at formulating a mathematical model for the transmission dynamics and control of corona virus disease in a population. The Disease Free Equilibrium state of the model was determined and shown to be locally asymptotically stable. The Endemic Equilibrium state of...

Open access Research Article 10.9734/arjom/2020/v16i1130244

The Principal Curvatures and the Third Fundamental Form of Dini-Type Helicoidal Hypersurface in 4-Space

Erhan G¨uler · Asian Research Journal of Mathematics · 2020

We consider the principal curvatures and the third fundamental form of Dini-type helicoidal hypersurface D(u, v, w) in the four dimensional Euclidean space E4. We find the Gauss map e of helicoidal hypersurface in E4. We obtain characteristic polynomial of shape operator matrix S...

Open access Research Article 10.9734/arjom/2020/v16i1130243

An SEIRS Epidemic Model with Immigration and Vertical Transmission

Ruksana Shaikh, Pradeep Porwal & V. K. Gupta · Asian Research Journal of Mathematics · 2020

The study indicates that we should improve the model by introducing the immigration rate in the model to control the spread of disease. An SEIRS epidemic model with Immigration and Vertical Transmission and analyzed the steady state and stability of the equilibrium points. The mo...

Open access Research Article 10.9734/arjom/2020/v16i1130241

Seismic Analysis of Simply Supported Damped Rayleigh Beams on Elastic Foundation

Ogunbamike Oluwatoyin Kehinde · Asian Research Journal of Mathematics · 2020

In this paper, the flexural analysis of a simply supported damped Rayleigh beam subjected to distributed loads and with damping due to resistance to the transverse displacement resting on elastic foundation is obtained. The characteristics of the beam are assumed uniform over the...

Open access Research Article 10.9734/arjom/2020/v16i1130240

Stability Analysis of the Disease Free Equilibrium of Malaria, Dengue and Typhoid Triple Infection Model

T. J. Oluwafemi, E. Azuaba & Y. M. Kura · Asian Research Journal of Mathematics · 2020

A Mathematical model of a system of non-linear differential equation is developed to study the transmission dynamics of malaria, dengue and typhoid triple infection. In this work, the basic reproduction number is derived using the Next Generation Matrix, also we computed the dise...

Open access Research Article 10.9734/arjom/2020/v16i1130238

Numerical Solution of Delay Differential Equations via the Reproducing Kernel Hilbert Spaces Method

Reham K. Alshehri, Banan S. Maayah & Abdelhalim Ebaid · Asian Research Journal of Mathematics · 2020

Delay differential equations (DDEs) are generalization of the ordinary differential equation (ODEs), which is suitable for physical system that also depends on the past data. In this paper, the Reproducing Kernel Hilbert Spaces (RKHS) method is applied to approximate the solution...

Open access Research Article 10.9734/arjom/2020/v16i1130237

A Study on Generalized Tetranacci Numbers: Closed Form Formulas ∑n k=0 xkWk2 of Sums of the Squares of Terms

Y¨üksel Soykan · Asian Research Journal of Mathematics · 2020

In this paper, closed forms of the sum formulas ∑n k=0 xkWk2 for the squares of generalized Tetranacci numbers are presented. We also present the sum formulas ∑n k=0 xkWk+1Wk; ∑n k=0 xkWk+2Wk; and ∑n k=0 xkWk+3Wk: As special cases, we give summation formulas of the of Tetranacci,...

Open access Research Article 10.9734/arjom/2020/v16i1030234

Numerical Analysis of Heat Transfer of Eyring Powell Fluid Using Double Stratification of Magneto-Hydrodynamic Boundary Layer Flow

Wekesa Waswa Simon & Winifred Nduku Mutuku · Asian Research Journal of Mathematics · 2020

Heat transfer fluids play a vital role in many engineering and industrial sectors such as power generation, chemical production, air-conditioning, transportation and microelectronics. Aim: To numerically investigate the effect of double stratification on magneto-hydrodynamic boun...

Open access Research Article 10.9734/arjom/2020/v16i1030233

Two-phase MHD Flow through Porous Medium with Heat Transfer in a Horizontal Channel

Devendra Kumar, B. Satyanarayana, Rajesh Kumar, Bholey Singh & R. K. Shrivastava · Asian Research Journal of Mathematics · 2020

The present study deals with two layered MHD immiscible fluid flow through porous medium in presence of heat transfer through parallel plate channel. The fluids are incompressible, and flow is fully developed. The fluids are of different viscosities and thermal conductivities so...

Open access Research Article 10.9734/arjom/2020/v16i1030232

Existence of Nonoscillation Solutions of Higher-Order Nonlinear Neutral Differential Equations

Zhao Yu- Ping & Fu Hua · Asian Research Journal of Mathematics · 2020

In this paper, we consider the following higher-order nonlinear neutral differential equations: dn dtn [x(t) + cx(t - τ)] + (-1)n+1[P(t)f1 (x(t - σ)) - Q(t)f2 (x(t - δ))] = 0; t ≥ t0 where τ; σ; δ ∈ R+, c ∈ R; c ̸= ±1, and P(t); Q(t) ∈ C([t0; ∞); R+), fi(u) ∈ C(R; R), ufi(u) >...

Open access Research Article 10.9734/arjom/2020/v16i1030231

Variational and Topological Methods for a Class of Nonlinear Equations which Involves a Duality Mapping

Jenica Cringanu · Asian Research Journal of Mathematics · 2020

The purpose of this paper is to show the existence results for the following abstract equation Jpu = Nfu, where Jp is the duality application on a real reflexive and smooth X Banach space, that corresponds to the gauge function φ(t) = tp-1, 1 < p < ∞. We assume that X is co...

Open access Research Article 10.9734/arjom/2020/v16i1030230