Open Access Short Research Article

The Teacher as a Factor in the Formation of Students' View of Mathematics

Tahani Alshenqeeti

Asian Research Journal of Mathematics, Page 109-117
DOI: 10.9734/arjom/2020/v16i1130247

This research study sheds light on students' views toward mathematics as a subject, and particularly the role of teachers in the formation of these views. Data were collected using questionnaire surveys as a quick means for gathering students' views. This method of data collection has also been found to be convenient for the study participants. Results gleaned throughout this study have significant implications for mathematics pedagogy and research.

Open Access Original Research Article

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, Page 1-14
DOI: 10.9734/arjom/2020/v16i1130237

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 of a general form of first, second and third order fractional DDEs (FDDEs). It is a relatively new analytical technique. The analytical and approximate solutions are represented in terms of series in the RKHS.

Open Access Original Research Article

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, Page 15-23
DOI: 10.9734/arjom/2020/v16i1130238

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 disease free equilibrium point. The disease free equilibrium (DFE) point is analyzed and was found that the DFE is locally stable but may be globally unstable when R0 < 1.

Open Access Original Research Article

Open Access Original Research Article

Seismic Analysis of Simply Supported Damped Rayleigh Beams on Elastic Foundation

Ogunbamike Oluwatoyin Kehinde

Asian Research Journal of Mathematics, Page 31-47
DOI: 10.9734/arjom/2020/v16i1130240

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 beam length while the foundation is considered of Winkler type. In order to evaluate the vibration characteristics of the dynamical system, the Fourier sine integral transformation in conjunction with the asymptotic method of Struble is used to solve the governing equations for the transversal vibrations in the beam structure induced by moving load. The effect of prestress and other structural parameters were considered. Numerical results show that the structural parameters have significant influence on the behaviour of the dynamical system.

Open Access Original Research Article

An SEIRS Epidemic Model with Immigration and Vertical Transmission

Ruksana Shaikh, Pradeep Porwal, V. K. Gupta

Asian Research Journal of Mathematics, Page 48-53
DOI: 10.9734/arjom/2020/v16i1130241

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 model equations were solved analytically. The stability of the both equilibrium are proved by Routh-Hurwitz criteria. We see that if the basic reproductive number R0<1 then the disease free equilibrium is locally asymptotically stable and if R0<1 the endemic equilibrium will be locally asymptotically stable.

Open Access Original Research Article

Open Access Original Research Article

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

Erhan G¨uler

Asian Research Journal of Mathematics, Page 62-68
DOI: 10.9734/arjom/2020/v16i1130243

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. Then, we compute principal curvatures ki=1;2;3, and the third fundamental form matrix III of D.

Open Access Original Research Article

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, Page 69-88
DOI: 10.9734/arjom/2020/v16i1130244

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 the model was also established and proved to be locally asymptotically stable using the trace and determinant method, after which we determined the basic reproduction number ( ) of the model using the next generation method. When ( ), the disease is wiped out of a population, but if ( ), the disease invades such population. Local sensitivity analysis result shows that the rate at which the exposed are quarantined ( ), the rate at which the infected are isolated ( ), the rate at which the quarantined are isolated ( ), and the treatment rate ( ) should be targeted by the control intervention strategies as an increase in the values of these parameters (  and ) will reduce the basic reproduction number  ( ) of the COVID-19 and as such will eliminate the disease from the population with time. Numerical simulation of the model shows that the disease will be eradicated with time when enlightenment control measure for the susceptible individuals to observe social distance, frequent use of hand sanitizers, covering of mouth when coughing or sneezing are properly observed. Moreso, increasing the rates at which the suspected and confirmed cases of COVID-19 are quarantined and isolated respectively reduce the spread of the global pandemic.

Open Access Original Research Article

Pre-Service Teachers Achievement and Mastery Levels in Solid Geometry at E. P. College of Education, Bimbilla-Ghana

Anas Seidu Salifu

Asian Research Journal of Mathematics, Page 89-108
DOI: 10.9734/arjom/2020/v16i1130246

The purpose of the study was to determine Pre-Service Teachers (PSTs) achievement levels and self-evaluation of their level of mastery in Solid Geometry. The study used descriptive research design with purely quantitative approach to collect data related to Evangelical Presbyterian (E.P.) College of Education, Bimbilla-Ghana Pre-Service Teachers’. The population was one hundred and ninety-two (192) level 200 PSTs Pre-Service Teachers either majoring in mathematics, ICT or science. The sample used for the study was 140. Convenient, purposive and simple random sampling techniques were adopted. The instruments used were two comprising of achievement test and closed ended questionnaire. The overall results from the achievement test indicate that the PSTs were at good mastery level in solid geometry. Also, the self –evaluation questionnaire mastery levels for geometric properties, drawing of solid nets, finding surface areas were high and finding volume of solids were also very high. Finally, finding on composite solids area and volume was at moderate level. It was recommended that College Mathematics Tutors should encourage PSTs to always draw nets of solid shapes and also use solid nets to form solid shapes.