Extending Entropy Stability Measure To External Debt Structure

This study focuses on the measure of stability of external debt using entropy. This is achieved by modifying the conglomerate of Shannon and Boltzmann entropy. This modification rectifies the limitations of these models. Practical illustration of the modified model is also given to justify its use.Journal of Science & Technology (Ghana) Vol. 27 (3) 2007: pp. 156-16

On the evolution of academic staff structure in a university setting

This paper models the academic staff structure in a university as a system of stocks and flows in a three-dimensional space, R3. The stocks are the number of academic staff in a particular state at a given time and the flows are the staff moving between any two states over an interval of time. The paper places emphasis on the grade-specific completion rates of Graduate Assistants, who choose to study in the university in which they are employed for higher degrees. The study describes the evolution of structures in the university as a linear recurrence system. Some aspects of linear algebra are employed as a theoretical underpinning to gain insights into the transformation matrix of the recurrence system. A number of resulting propositions are presented along with their proofs. We provide two theorems to serve as a means of predicting a university manpower structure. Following that a numerical illustration of the theorems and propositions is provided with data which are representative of the kind of data in a Nigerian university system

A theoretical framework for determining the appropriate level of subsidy in an economy

A framework has been developed for determining the subsidy that, in the long run, serves to equalize the per capita income shares across income classes. The framework characterizes the income dynamics by the Markov process and uses the principle of maximum entropy for selecting among alternative subsidy schemes. The study provides a means to forecast the per capita income shares at any instant of time and serves as an objective tool to decide on the appropriate level of subsidy

Proposal of entropy measure of stability of external debt stock in Nigeria

No Abstract.IJONAS Vol. 3 (1) 2007: pp. 85-8

Determination of optimum schools fees in Nigerian private schools

There is the need to understand how private schools in Nigeria survive since government does not give out grants or subvention to them. Their major source of revenue is school fees. In this study, we derive a formula to determine the optimum school fees to be charged in private schools. The conceptual background of the formula so derived is very strong as it incorporates the profit – seeking motive of proprietors. To assist the planner in projecting future resources for education, micro level cost analysis at the school level is recommended. IJONAS Vol. 3 (1) 2007: pp. 81-8

On the measure of entropy value of external debt structure for an economy

This paper considers the use of external debt structure to measure the stability of an economy. This is achieved by modifying the existing entropy model to capture the debt service ratio. The modified entropy model is then used to estimate the entropy value of the Nigerian economy.Global Journal of Mathematical Sciences Vol. 6 (1) 2007: pp. 57-6

On population dynamics with campaign on contraception as control strategy

This work considers a population divided into two groups according to the adoption of contraception. The campaign in favour of contraception is modelled as a bounded optimal control problem within the framework of the logistic and the Malthusian models of population dynamics. The control is the fraction of non-adopters successfully educated on contraception. The objective is to maximise the number of non-adopters successfully educated on contraception over time. The optimisation problem is solved using the Pontryagin's maximum principle and the parameters of the model are estimated using the method of least squares