Open Access Original Research Article

Optimal Exercise Time to Control Glucose in type 2 Diabetes

M. O. Ohemeng, D. Otoo, E. K. Donkoh, H. Andoh

Journal of Advances in Mathematics and Computer Science, Page 1-10
DOI: 10.9734/jamcs/2019/v33i230171

Diabetes is a lifelong disease that affect the way the body regulates blood glucose. Type 2 diabetes occurs when β cells do not produce enough insulin to regulate glucose in the blood. In this paper the authors used exercise as a tool to predict the optimal effect of glucose regulation in a diabetic patient using simulation. Computer simulations were performed on the proposed mathematical model to determine the number of heartbeats a diabetic patient need to train in other to regulate the glucose level to normalcy. This cross-sectional study took place at Sunyani Regional Hospital, one of the 10 regions in Ghana, between September 2018 and May 2019. The simulations show the effects of different rate of exercise on glucose level. The results shows that the optimal heartbeat for a diabetic patients is 140 beats per minute corresponding to a rate of 0.8. If this is done continuously for at least 3 times in a week, the glucose level could be regulated to normal within 50 weeks.

Open Access Original Research Article

Bivariate Copula Based Models for the Dependence of Maternal Mortality Ratio(MMR) on Gross Domestic Product(GDP) and Total Fertility Rate(TFR)

Gabriel Asare Okyere, Godfred Zaachi, Emmanuel K. Owusu-Mintah, Charles K. Amponsah

Journal of Advances in Mathematics and Computer Science, Page 1-16
DOI: 10.9734/jamcs/2019/v33i230172

Global progress towards reducing high Maternal Mortality Rates (MMR) turned to be defeated by high maternal mortalities originating from developing countries. In rural Ghana, the lack of logistics, medical and laboratory equipment are among other key factors responsible for the high MMR despite several interventions structured to curb this menace. Improvement in the country's health care delivery will require substantial investment into maternal and child health especially, in order to meet the national SDG target on MMR.This paper demonstrates societal benets of investment in maternal and child health in order to stimulate stakeholders interest in resource mobilization by the correlation of MMR with such economic and demographic indicators as Gross Domestic Product (GDP) and Total Fertility Rate (TFR). The underlying probability distributions for MMR, TFR and GDP were determined using the corrected Akaike Information Criteria (cAIC) with parameters estimated via the maximum likelihood framework. MMR and TFR showed a positive association (0.83) whilst an inverse relation exist between MMR and GDP (-0.67) and TFR and GDP (-0.76). The contour and joint density plots from appendix A and B indicate a strong lower tail dependence for the bivariate Frank copula with Gamma and Lognormal margins whereas the Gumbel copula with Gamma and Lognormal margins
shows strong upper tail dependence. Correlation gures tend to suggests that improved GDP as a consequence of improved socio-economic conditions of a Ghanaian mother tend to reduce Maternal Mortalities whilst increased fertility rates turn to increase MMR. Generally, evidence has been drawn to improvement in GDP.

Open Access Original Research Article

Numerical Optics Soliton Solution of the Nonlinear Schrödinger Equation Using the Laplace and the Modified Laplace Decomposition Method

M. M. El-Horbaty, F. M. Ahmed

Journal of Advances in Mathematics and Computer Science, Page 1-13
DOI: 10.9734/jamcs/2019/v33i230173

In this paper, the Laplace decomposition method (LDM) and some modification, namely the Modified Laplace decomposition method (MLDM), are adopted to numerically investigate the optic soliton solution of the nonlinear complex Schrödinger equation (NLSE). The obtained results demonstrate the reliability and the efficiency of the considered methods to numerically approximate such initial value problems (IVPs).

Open Access Original Research Article

Optimization of a Grid-Connected Photovoltaic System in a Densely Populated Residential Community

Bernard Atta Adjei, Elvis K. Donkoh, Dominic Otoo, Emmanuel De-Graft Johnson Owusu-Ansah, Francois Mahama

Journal of Advances in Mathematics and Computer Science, Page 1-16
DOI: 10.9734/jamcs/2019/v33i230175

In Ghana, the majority of reliable electricity is generated in centralized plants. This type of electricity generation structure undoubtedly contributes to the economic rise in electricity tariffs and transmission losses due to the operational cost of such plants and their vast distances from the communities respectively. In this paper, Linear Programming was used to nd the optimal power dispatch of a decentralized grid-connected photovoltaic system in the form of a microgrid for a minimum cost of electricity. The fundamental LP problem was optimized in AMPL (A Modeling Language for Mathematical Programming) properly employing the CPLEX solver. In the case study, the involvement of microgrid in the energy sector convincingly demonstrated a daily cost of GHS63,426.23 in the rst ve years accurately representing 18% potential reduction. This cost reduction will be increased tremendously to 75% in subsequent years. This is a lower energy bill as compared to the bill of the existing electricity structure.

Open Access Review Article

Modeling Nonlinear Partial Differential Equations and Construction of Solitary Wave Solutions in an Inductive Electrical Line

Tiague Takongmo Guy, Jean Roger Bogning

Journal of Advances in Mathematics and Computer Science, Page 1-10
DOI: 10.9734/jamcs/2019/v33i230174

A soliton is considered nowadays as a future wave reason being the fact that it is a stable, robust and non-dissipative solitary wave. If one uses a soliton as a transmission signal in electrical lines, this will have a great impacts in the domain of economic, technology and education. Given the fact that the propagation of the soliton is due to the interaction between dispersion and nonlinearity, it necessitates that the transmission medium should be dispersive and nonlinear. The physical system we have chosen for our survey is an inductive electrical line reason being the fact that it is the cheapest and very easy to manufacture than any other transmission lines; furthermore we find out the analytical variation that the magnetic flux linkage of inductors in the electrical line must undergo so that its transmission medium admits the propagation of solitary waves of required type. The aim of this work is to model nonlinear partial differential equations which govern the dynamics of those solitary waves in the line, to define the analytical expression of the magnetic flux linkage of inductors in the line and to find out some exact solutions of solitary waves types of those equations. To meet our objectives, we apply Kirchhoff laws to the circuit of a nonlinear inductive electrical line to model the nonlinear partial differential equation which describe the dynamics of those solitons. Further we apply the effective and direct Bogning-Djeumen Tchaho-Kofane method based on the identification of basic hyperbolic function coefficients to construct some exact soliton solutions of modeled equations. Numerical simulations have enabled to draw and observe the real profile of those solitary waves which are Kink soliton and Pulse soliton. The obtained results are supposed to permits: The facilitation of the choice of the type of line relative to the type of signal one wishes to send across, to increase the mathematical field knowledge, the reduction of amplification stations of those lines, The manufacturing of new inductors and new electrical lines susceptible of propagating those solitary waves.