Moses Oyesanya

• B. Sc., M. Sc., Ph.D
• Head of Department at University of Nigeria

Patterns and forms in Biological and Health sciences are phenomena whose origins still require thorough experimental, clinical and analytical studies. Many researchers after Turing (the father of Computer Science), have explained that, a system of reacting chemicals, stable in the absence of diffusion can become unstable with the presence of di...

Background: HIV is a virus that is directed at destroying the human immune system thereby exposing the human body to the risk of been affected by other common illnesses and if it is not treated, it generates a more chronic illness called AIDS. Materials and Methods: In this paper, we employed the fixed-point theory in developing the uniqueness and...

Background: HIV is a virus that is directed at destroying the human immune system thereby exposing the human body to the risk of been affected by other common illnesses and if it is not treated, it generates a more chronic illness called AIDS. Materials and Methods: In this paper, we employed the fixed-point theory in developing the uniqueness and...

Background: HIV is a virus that is directed at destroying the human immune system thereby exposing the human body to the risk of been affected by other common illnesses and if it is not treated, it generates a more chronic illness called AIDS. Materials and methods: In this paper, we employed the fixed-point theory in developing the uniqueness a...

Background: HIV is a virus that is directed at destroying the human immune system thereby exposing the human body to the risk of been affected by other common illnesses and if it is not treated, it generates a more chronic illness called AIDS. Materials and Methods: In this paper, we employed the fixed-point theory in developing the uniqueness and...

. In this work, the fractional order climate change model in a Pa- cific Ocean is given. The model distinguishes between when damped constant a = 0 and when a �= 0 ( a > 0 and a < 0), and the solution of each case was obtained using Lindstendt-Poincare perturbation technique. The analyses of the solutions were done using MATLAB R2007b. In integer ca...

Laminar forced convection heat transfer in a Newtonian fluid flow in a channel between two parallel plates has been investigated analytically. Fully developed laminar velocity distributions obtained by variable separable method was used, and viscous dissipation was taken into account. The theoretical analysis of the heat transfer is performed for t...

In this investigation, fractional order model on the impact of climate change with dominant Earth’s fluctuations is given. The solution of the modelwas obtained using modified LaplaceAdomian decomposition method. The result is compared with the result obtained from integer solution.We observed that what is seen in the fractional part takes longer t...

Using analytic approach we study the effect of HPA axis secretions to the emotional variation of bipolar II disorder patient. Modified Duffing – Van der Pol oscillator was used to model the emotional variation, that was solved analytically using multiple scale perturbation to obtain an asymptotic solution. The solution was graphed to understand the...

Fractional – ordered oscillator is used to model the mood variation of bipolar II disorder patient and is investigated analytically. Based on multiple scale perturbation method, the approximate solution and the amplitude – frequency equation are obtained. The effect of fractional – order damping derivative on the mood variation is analyzed, and it...

Transportation by land is the most popular means of mobility all over the world, as a result millions of people move from one place to another by land. These travellers spend minutes, hours and days on motorways or railways, therefore, the right to communicate should not be denied to this set of people. One of the characteristic features of Global...

Voice call is the most widely subscribed service on the Global System for Mobile communication (GSM) network, as a result, the probability of congestion occurring on the network through voice call is very high. Whenever it occurs, there is a need to control it to provide better quality of service. The most popular scheme for controlling congestion...

This paper presents a comprehensive stability analysis of the dynamics of the damped cubic-quintic Duffing oscillator. We employ the derivative expansion method to investigate the slightly damped cubic-quintic Duffing oscillator obtaining a uniformly valid solution. We obtain a uniformly valid solution of the un-damped cubic-quintic Duffing oscilla...

In this paper, the Homotopy Analysis Method (HAM) is used to obtain an accurate analytical two-term approximate solution to the positively damped cubic-quintic-heptic Duffing equation with algebraically decaying amplitude as well as a single periodic forcing. This paper also presents the interesting behavior of the non-zero auxiliary parameter whic...

Separate administration of either chemotherapy or immunotherapy has been studied and applied to clinical experiments but however, this administration has shown some side effects such as increased acidity which gives a selective advantage to tumor cell growth. We introduce a model for the combined action of chemotherapy and immunotherapy using fract...

Mathematical models for tumor invasion have been rigorously studied. Among the models considered so far, are reaction diffusion models, which can be dated far back in the 18th century. They have proven to be really significant in the fight against cancer in general. A little known fractional reaction-diffusion model is presented in this research as...

The bifurcation of a toroidal shell segment with initial imperfection which are subjected to lateral or hydrostatic pressure is studied under the assumption that the initial imperfection are Gaussian random stress-free displacement whose mean and autocorrelation function are given. We use a perturbation scheme developed by Amazigo [Amazigo, J.C., 1...

We consider non-linear bifurcation problems for elastic structures modeled by the operator equation F[w;α]=0 where F:X×Rk→Y,X,Y are Banach spaces and X⊂Y. We focus attention on problems whose bifurcation equations are of the formwhich emanates from bifurcation problems for which the linearization of F is Fredholm operators of index 0. Under the ass...

We derive the end shortening relations for both the primary and secondary bifurcation states of columns on nonlinear foundation and use Budiansky’s pictorial stability theorem to show the instability of these states.

The primary and secondary bifurcation states of a simply supported cylindrical shell of finite length subjected to lateral or hydrostatic pressure is studied using formal perturbation procedures. The effect of arbitrary stress-free initial displacement (imperfections) on the buckling load is studied following standard procedures. It is shown that t...

Mathematical models in general and Reaction Diffusion Models in particular have been rigorously studied and applied in different forms to explain situation in biomedical and allied sciences including the complex tumour microenvironment. They have been proven to be really significant in cancer research. The not so extensively known fractional reacti...

The primary and secondary states of a model imperfection-sensitive structure are studied by using formal perturbation expansions. The structure is a column on a “softening” nonlinear elastic foundation. It is shown that, although there exist secondary bifurcation loads lower than the classical buckling load, the buckling load of the imperfect struc...