Tag Archives: Stability

High Order Compact Finite Difference Techniques for Stochastic Advection Diffusion Equations (Published)

High order compact finite difference scheme for stochastic advection – diffusion equations (SCDEs) of Ito type is designed.  Firstly, Modified Mathematical formulation of the stochastic advection – diffusion was developed, followed by the derivation of stochastic differential advection – diffusion using compact finite difference schemes. Explicit- implicit Euler’s scheme was adopted to established the stability criteria in the resulting linear stochastic system of differential equations. The stability criterion was investigated using Fourier mode. Numerical examples were conducted to test the validity, efficient, accuracy and robustness of the derived schemes.

Keywords: Numerical examples., Stability, Stochastic differential advection– diffusion equation, compact finite difference schemes, explicit- implicit Euler’s method

On the Stability of Solutions of Grand General Third Order Non Linear Ordinary Differential Equation (Published)

This work deals with the stability of solutions of the nonlinear third order autonomous ordinary differential equation. By constructing suitable Liapounov functional, the sufficient conditions for the ordinary stability and asymptotic stability of the trivial solution   to the differential equation are established.

Keywords: Liapounov functional; Positive definite; negative definite, Stability, trivial solution

Sensitivity Analysis of Lassa fever Model (Published)

A Mathematical Model was developed for the spread and control of Lassa Lever. Existence and stability were analysed for disease free equilibrium. Key to our analysis is the basic reproductive number which is an important threshold for disease control. Reasonable sets of values for the parameter in the model were compiled, and sensitivity analysis indices of around the baseline parameter value were computed, which shows that the most sensitive parameter to is human birth rate , followed by condom efficacy and compliance. Further, the numerical computation of gave a value of 0.129, finally, numerical simulations were obtained that illustrates the effects of the control parameters on the various compartments of the model.

Keywords: Endemic, Equilibrium, Lassa fever, Stability, sensitivity, spectral radius

The Relationship between Liquidation and Banking Industry Stability in Nigeria (Published)

The relationship between liquidation and banking industry stability has helped to sustain public confidence in the solvency of the bank. The purpose of this project work was to investigate the relationship between liquidation and banking industry stability in Nigeria. The study used quantitative time series data and special package for social sciences (SPSS) method during analysis. The result of the test indicates long run relationship between dependent and independent variables. The result of our analysis shows that there is long run relationship between the level of bank failure and stability of Nigerian banking industry. The study also found that efficient management of non-performing loan is necessary for the stability of Nigerian banking industry. The implication of this is that if the policy makers did not control the level of non-performing loan, it will continue to bring about bank failure. We therefore recommend that, there is an urgent need for effective monitoring of the level of bank failure in Nigeria to allow for acceleration of banking industry stability. This is necessary for its positive effect on the bank stability

Keywords: Bank Failure, Banking Industry, Liquidation, Non-performing Loan., Stability

Comparison Between STATCOM-POD and PSS For Small Signal Stability Enhancement (Published)

The growth of the modern power system with the continuous change in power demand and
supply has led to an increasing complexity in the study of power systems analysis, and in particular, to the aspects of transient stability and small-signal stability. The enhancement of power system stability using PSS (power system stabilizer) which is used to improve low frequency oscillations as a type of the rotor angle stability and STATCOM-POD (Static Synchronous Compensator with power oscillation damper) which is an effective FACTS (Flexible AC Transmission System) device capable of controlling the active and reactive power flows in a transmission line by controlling appropriately parameters also improve low frequency oscillations due to POD controller with STATCOM. In this Paper comparison between PSS and STATCOM-POD performance for power system stability enhancement of the 14-bus test system network is investigated. The comparison is based on investigation of the eigenvalues of the linearized power system model in the framework of dynamic hopf- bifurcation theory.

Keywords: Eigenvalues, HOPF-Bifurcations, POD, PSS, STATCOM, Stability

Small and Medium Scale Enterprises and Economic Growth in Nigeria (Review Completed - Accepted)


The study empirically evaluates the impact of small and medium scale enterprises on the growth of the Nigerian economy using the error correction method (ECM). The study adopted annual times series data for Nigeria spanning a period of 43 years (1970 to 2012). The finding of our results suggests that the theoretical modeling requirements for all the variables used in the regression satisfy the statistical requirements that determine the choice of the statistical model. The result from the estimated model shows that both human capital development (HCD) and bank loans to small and medium scale enterprises (BLSME) were statistically significant as well as positively influence the growth of the Nigerian economy. Therefore, more concerted effort should be employed by government at all level to make training and retraining of their man–power both in public and private sectors to acquire the necessary skills required in modern business technique. This will boost their efficiency and productivity as well as bolster its share in the growth of the country’s economy. In the light of the foregoing, we recommend that government at all level should provide incentives and favourable business environment for SMEs to flourish. It should also sustain the current ongoing reforms in the sector to stimulate productivity as well as the continuous enlightenment campaign by the Central Bank of Nigeria, banking industries, relevant government ministries and agencies while indigenous entrepreneurs must be ready to show greater desire to institutionalize and separate company from self and be ready to be helped


Keywords: Error correction method, SMEs, Stability, economic growth

Stability of Demand for Money Function in Nigeria (Review Completed - Accepted)

This study examines the long-run demand for real broad money function and its stability in Nigeria for the period 1986 to 2011. The study employs Ordinary Least Squares, Augmented-Dickey Fuller and Phillips-Perron tests for unit root, Engle-Granger approach for cointegration, CUSUM and CUSUMSQ tests for stability. The results of the stability and cointegration tests confirm that a stable, long-run relationship exists between demand for real broad money aggregate and its determinants: income, domestic real interest rate, expected rate of inflation, expected foreign exchange depreciation, and foreign interest rate. Furthermore, the results show that the income elasticity and foreign interest rate coefficients are positive while the domestic real interest rate, inflation rate, and exchange rate depreciation coefficients are negative, respectively. Hence, the apex bank in Nigeria can target the broad money (M2) aggregate to achieve macroeconomic objectives

Keywords: Cointegration, Real money demand function, Stability