A model of dual latency compartments for the transmission dynamics of COVID-19 in Oyo state, Nigeria
EASL-Vol. 4 (2021), Issue 1, pp. 1 – 13 Open Access Full-Text PDF
O. Adedire, J. N. Ndam
Abstract: In this study, a mathematical model of dual latency compartments is developed to investigate the transmission dynamics of COVID-19 epidemic in Oyo state, Nigeria. The model consists of non-pharmaceutical control strategies which include the use of face masks, social-distancing and impact of mass-media on the spread of novel coronavirus in the state. Results indicate control reproduction number \(R_C = 1.4\) with possibilities of high constructive influence of mass-media. Thus, at the fitted values of \(\sigma _f = 0.1,\; \sigma _d = 0.1,\;\sigma _m = 0.6\), the peak of the COVID-19 epidemic is attained after 59,217 infectious quarantined individuals and 328,440 infectious but not quarantined individuals have contracted COVID-19 in about 439 and 443 days respectively from the date of the first incidence. Therefore, efforts on mass-media with programs that can inform the people on effective use of face masks, social-distancing and other safety measures can aid reduction of reproduction number to a value below 1 necessary for eradication of the disease.
On the solutions of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary
OMA-Vol. 5 (2021), Issue 1, pp. 9 – 21 Open Access Full-Text PDF
J. Ferreira, E. Pişkin, S. M. S. Cordeiro, C. A. Raposo
Abstract: In this paper, we are concerned with the existence and uniqueness of global strong solution of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary.
Super cyclic antimagic covering for some families of graphs
OMS-Vol. 5 (2021), Issue 1, pp. 27 – 33 Open Access Full-Text PDF
Muhammad Numan, Saad Ihsan Butt, Amir Taimur
Abstract: Graph labeling plays an important role in different branches of sciences. It gives useable information in the study of radar, missile and rocket theory. In scheme theory, coding theory and computer networking graph labeling is widely employed. In the present paper, we find necessary conditions for the octagonal planner map and multiple wheel graph to be super cyclic antimagic cover and then discuss their super cyclic antimagic covering.
General decay of the double dispersive wave equation with memory and source terms
OMA-Vol. 5 (2021), Issue 1, pp. 1 – 8 Open Access Full-Text PDF
Mohamed Mellah
Abstract: The double dispersive wave equation with memory and source terms \(u_{tt}-\Delta u-\Delta u_{tt}+\Delta^{2}u-\int_{0}^{t}g(t-\tau)\Delta^{2}u(\tau)d\tau-\Delta u_{t}=|u|^{p-2}u\) is considered in bounded domain. The existence of global solutions and decay rates of the energy are proved.
Development of a new numerical scheme for the solution of exponential growth and decay models
OMS-Vol. 5 (2021), Issue 1, pp. 18 – 26 Open Access Full-Text PDF
S. E. Fadugba
Abstract: This paper presents the development of a new numerical scheme for the solution of exponential growth and decay models emanated from biological sciences. The scheme has been derived via the combination of two interpolants namely, polynomial and exponential functions. The analysis of the local truncation error of the derived scheme is investigated by means of the Taylor’s series expansion. In order to test the performance of the scheme in terms of accuracy in the context of the exact solution, four biological models were solved numerically. The absolute error has been computed successfully at each mesh point of the integration interval under consideration. The numerical results generated via the scheme agree with the exact solution and with the fifth order convergence based upon the analysis carried out. Hence, the scheme is found to be of order five, accurate and is a good approach to be included in the class of linear explicit numerical methods for the solution of initial value problems in ordinary differential equations.
On new approximations for the modified Bessel function of the second kind \(K_0(x)\)
OMS-Vol. 5 (2021), Issue 1, pp. 11 – 17 Open Access Full-Text PDF
Francisco Caruso, Felipe Silveira
Abstract: A new series representation of the modified Bessel function of the second kind \(K_0(x)\) in terms of simple elementary functions (Kummer’s function) is obtained. The accuracy of different orders in this expansion is analysed and has been shown not to be so good as those of different approximations found in the literature. In the sequel, new polynomial approximations for \(K_0(x)\), in the limits \(0 < x \leq 2\) and \(2\leq x < \infty\), are obtained. They are shown to be much more accurate than the two best classical approximations given by the Abramowitz and Stegun's Handbook, for those intervals.
