MATHEMATICAL MODEL ON GLUCOSE, INSULIN AND Β-CELLS MASS DYNAMICS IN TYPE 2 DIABETES

MATHEMATICAL MODEL ON GLUCOSE, INSULIN AND Β-CELLS MASS DYNAMICS IN TYPE 2 DIABETES ABSTRACT A mathematical model, describing glucose, insulin and Ƃ-cells mass dynamics of a type 2 diabetic patient was developed in the form of a system of ordinary differential equation, considering insulin resistance, the body inability to overcome the resistance and the fact …

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MATHEMATICAL MODEL ON HUMAN POPULATION DYNAMICS USING DELAY DIFFERENTIAL EQUATION

MATHEMATICAL MODEL ON HUMAN POPULATION DYNAMICS USING DELAY DIFFERENTIAL EQUATION ABSTRACT Simple population growth models involving birth rate, death rate, migration, and carrying capacity of the environment were considered.  Furthermore,   the particular case where there is discrete delay according to the sex involved in the population growth were treated. The equilibrium and stability analysis of …

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MATHEMATICAL MODELING AND CONTROL OF A NONISOTHERMAL CONTINUOUS STIRRED TANK REACTOR, CSTR

MATHEMATICAL MODELING AND CONTROL OF A NONISOTHERMAL CONTINUOUS STIRRED TANK REACTOR, CSTR ABSTRACT Mathematical Models describing the variations in the volume of the system, concentration of reactant (s) yet to react, temperature of the system, and the temperature of the cooling jacket over time in a non-isothermal CSTR that handles a simple, irreversible, first order …

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METHODOLOGICAL MODELS FOR OPTIMAL CONTROL OF MARINE OIL SPILL

METHODOLOGICAL MODELS FOR OPTIMAL CONTROL OF MARINE OIL SPILL ABSTRACT The frequency of accidental discharge of oil into aquatic environment has presented a significant threat to marine biota with related adverse effects on the supply of products and services of importance to human cultures. This threat of economic and environmental devastation led to the development …

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ON EQUAL PREDICTIVE ABILITY AND PARALLELISM OF SELF-EXCITING THRESHOLD AUTOREGRESSIVE MODEL

ON EQUAL PREDICTIVE ABILITY AND PARALLELISM OF SELF-EXCITING THRESHOLD AUTOREGRESSIVE MODEL ABSTRACT Several authors have developed statistical procedures for testing whether two models are similar. In this work, we not only present the notion of equivalence but also extend this to a measure of predictive ability of a time series following a stationary self-exciting threshold …

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PORTFOLIO SELECTION AND OPTIMAL FINANCIAL INVESTMENT IN NIGERIAN ECONOMY

PORTFOLIO SELECTION AND OPTIMAL FINANCIAL INVESTMENT IN NIGERIAN ECONOMY ABSTRACT We studied  Portfolio Selection and Optimal Financial Investment in the Nigerian economy. We used the instruments – liquidity, risk and return on investment as the basis for the determination of the stocks to choose, in order to form the portfolio. Thereafter we used the ratios …

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THE EFFECT OF ATMOSPHERE ON EARTH-SPACE RADIO WAVE PROPAGATION STUDIES OF TROPICAL SATELLITE COMMUNICATION IN NIGERIA.

THE EFFECT OF ATMOSPHERE ON EARTH-SPACE RADIO WAVE PROPAGATION STUDIES OF TROPICAL SATELLITE COMMUNICATION IN NIGERIA. ABSTRACT Among other atmospheric region, ionosphere, which is the ionized region of the atmosphere, is considered to impose serious limitation on radio wave transmission while the effect of other layers, more especially, the troposphere is often treated as negligible. …

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WEAK AND STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR LIPSCHITZ PSEUDO-CONTRACTIVE MAPS IN HILBERT SPACE

WEAK AND STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR LIPSCHITZ PSEUDO-CONTRACTIVE MAPS IN HILBERT SPACE ABSTRACT Let H be a real Hilbert space and K a nonempty, closed convex subset of H.Let Tn: K → K be Lipschitz pseudo-contractive map with a nonempty fixed points set. We introduce a modified Ishikawa iterative algorithm for Lipschitz …

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BIFURCATION AND STABILITY OF STEADY SOLUTIONS OF EVOLUTION EQUATIONS

BIFURCATION AND STABILITY OF STEADY SOLUTIONS OF EVOLUTION EQUATIONS ABSTRACT We considered the evolutional problems in two-dimensional autonomous system. We showed that the bifurcating steady solutions are obtained from the points of intersection of the two conic sections and we used the implicit function theorem to justify their existence, and also we applied the Lyapunov …

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BOUNDARY VALUE PROBLEMS FOR QUASILINEAR SECOND ORDER DIFFERENTIAL EQUATIONS

BOUNDARY VALUE PROBLEMS FOR QUASILINEAR SECOND ORDER DIFFERENTIAL EQUATIONS ABSTRACT This project is concerned with the review of some boundary value problems fornnonlinear ordinary differential equations using topological and variational methods. A more classical boundary value problems for ordinary differential equations (like the boundary value problems on a ball, initial value problems, problems on annular …

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CONVERGENCE IN NORM OF MODIFIED KRASNOSELSKII-MANN ITERATION FOR FIXED POINTS OF ASYMPTOTICALLY DEMICONTRACTIVE MAPPINGS

CONVERGENCE IN NORM OF MODIFIED KRASNOSELSKII-MANN ITERATION FOR FIXED POINTS OF ASYMPTOTICALLY DEMICONTRACTIVE MAPPINGS ABSTRACT This project report deals with the class of asymptotically demicontractive nmappings in Hilbert spaces. We noted some historical aspects concerning the concept of asymptotically demicontractivity and studied a regularized variant of the Krasnoselskii-Mann iteration scheme, which ensured the strong convergence …

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GENERALIZED MATHEMATICAL MODELING OF AQUEOUS HUMOUR FLOW IN THE ANTERIOR CHAMBER AND THROUGH A MESH CHANNEL IN THE HUMAN EYE

GENERALIZED MATHEMATICAL MODELING OF AQUEOUS HUMOUR FLOW IN THE ANTERIOR CHAMBER AND THROUGH A MESH CHANNEL IN THE HUMAN EYE ABSTRACT In this work, we propose mathematical models for the processes that take place in the human eye and how they contribute to the development of pathological states. We considered and studied two related dynamics …

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MATHEMATICAL ANALYSIS OF HEMODYNAMIC PULSE WAVE IN HUMAN FLUID-STRUCTURE INTERACTION

MATHEMATICAL ANALYSIS OF HEMODYNAMIC PULSE WAVE IN HUMAN FLUID-STRUCTURE INTERACTION ABSTRACT Mathematical study of human pulse wave was studied with the view to gaining an insight into physiological situations. Fluid –Structure interaction (FSI) in blood flow is associated with pressure pulse wave arising from ventricular ejection. Solution of the coupled system of non-linear PDEs that …

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MATHEMATICAL ANALYSIS-PREDICTIONS OF INTERNAL GENERATED REVENUE (IGR) IN SOME STATES IN NIGERIA

MATHEMATICAL ANALYSIS-PREDICTIONS OF INTERNAL GENERATED REVENUE (IGR) IN SOME STATES IN NIGERIA ABSTRACT In this paper, we apply the LINEST model of the Microsoft excel to the population, Nigeria (Naira) exchange rate with US Dollar and Internal Generated Revenue (IGR) of 2014 top-10 Nigerian states by IGR in billions of naira from 2010 to 2014 …

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MATHEMATICAL MODEL OF PREDATOR-PREY RELATIONSHIP WITH HUMAN DISTURBANCE

MATHEMATICAL MODEL OF PREDATOR-PREY RELATIONSHIP WITH HUMAN DISTURBANCE ABSTRACT The predator-prey model with human disturbance is considered in the model and other factors such as noise, diffusion and external periodic force. The functional response of Holling III is also involved in the study. This predator-prey model involves two species giving us two variables (the predator …

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MATHEMATICAL MODEL ON A THREE WAY CATALYTIC CONVERTER- A COMPARATIVE STUDY OF GAS PHASE CONCENTRATION AND TEMPERATURE

MATHEMATICAL MODEL ON A THREE WAY CATALYTIC CONVERTER- A COMPARATIVE STUDY OF GAS PHASE CONCENTRATION AND TEMPERATURE ABSTRACT We comparatively studied gas phase concentration and gas temperature of three way catalytic converter models. We considered channel level models and provided concise solutions for them. Solutions to the models were graphically represented and we found that …

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A MATHEMATICAL MODEL FOR EVALUATION OF ASSESTS RETURNS IN A VOLATILE ECONOMY

A MATHEMATICAL MODEL FOR EVALUATION OF ASSESTS RETURNS IN A VOLATILE ECONOMY ABSTRACT In recent years, advance in technology have made it possible for the stock markets to trade in real time and also for large dataset to be available for statistical analysis. Thus, we examined the impact of macroeconomic variables on the stock returns …

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