We seek to discuss how the transmission of HIV infection, and hence AIDS disease, depends on various biological and social factors, which may be different within and between the different population groups. In this paper an SIA compartment model of the transmission dynamics of HIV/AIDS is developed using Ghana Data. The resulting system of three non-linear differential equations was analyzed in respect of stability of the three equilibrium points namely the disease free which was found to be locally asymptotically stable and two endemic equilibrium points which were found to be 96 Stephen Eduafo et al. stable. Further analysis to determine the conditions for the breakout of epidemic were done using the basic reproductive number of the infection. It was found that the rate of transition from HIV infected to AIDS relative to the rate of transition from susceptible to HIV infected state would need to be increased in order to effectively control the spread of the disease.
In this paper, the concept of transportation problem was applied to a Lumber Company A in Ghana which had a difficulty in transporting wood from its four logging sites to five wood markets weekly in order to minimize cost. Based on the data collected, Management Scientist Version 5 Software was used to solve the transportation problem. Optimal weekly transportation schedule was obtained for the Lumber Company. Finally, the total optimal transportation cost of the company for every week was found to be GH₵ 2500. It is strongly recommended that the Lumber Company should adhere to the optimal transportation schedule and also employ at least one operations researcher to assist the company in its activities.
In this paper, we develop an approach for finding the cofactor, ad joint, determinant and inverse of a three by three matrix under the Cell Arrangements method using the coefficient matrix of a given systems of linear equation in three unknowns. The method takes out completely the seemingly daunting task in evaluating such matrices associated to the standard matrix method in solving simultaneous equation in three variable. Unlike the standard matrix method that goes through a lengthy process to obtain separately all the matrices necessary for the determination of the unknowns, the structural frame of the Cell Arrangement method comes in handy and are consistent with the results from systems that have unique solutions. This alternative approach provides all the vital hybrid matrices of the coefficient matrix needed in the determination of the unknowns of the system of equations in three variables. It is our view that by far, the Cell arrangement method is easy to work with and less prone to errors that are often connected with other known methods.
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