Browsing Masters Degrees (Pure Mathematics) by Issue Date
Now showing items 115 of 15

Ermakov systems : a group theoretic approach.
(1993)The physical world is, for the most part, modelled using second order ordinary differential equations. The timedependent simple harmonic oscillator and the ErmakovPinney equation (which together form an Ermakov system) ... 
Parameters related to fractional domination in graphs.
(1995)The use of characteristic functions to represent wellknown sets in graph theory such as dominating, irredundant, independent, covering and packing sets  leads naturally to fractional versions of these sets and corresponding ... 
The paradigms of mechanics : a symmetry based approach.
(1996)An overview of the historical developments of the paradigms of classical mechanics, the free particle, oscillator and the Kepler problem, is given ito (in terms of) their conserved quantities. Next, the orbits of the three ... 
Noether's theorem and first integrals of ordinary differential equations.
(1997)The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem ... 
On the theory and examples of group extensions.
(1999)The work described in this dissertation was largely motivated by the aim of producing a survey on the theory of group extensions. From the broad scope of the theory of group extensions we single out two aspects to discuss, ... 
Evolutionary dynamics of coexisting species.
(2000)Ever since MaynardSmith and Price first introduced the concept of an evolutionary stable strategy (ESS) in 1973, there has been a growing amount of work in and around this field. Many new concepts have been introduced, ... 
Centre manifold theory with an application in population modelling.
(2009)There are basically two types of variables in population modelling, global and local variables. The former describes the behavior of the entire population while the latter describes the behavior of individuals within this ... 
Analysis of mixed convection in an air filled square cavity.
(2010)A steady state twodimensional mixed convection problem in an air filled square unit cavity has been numerically investigated. Two different cases of heating are investigated and compared. In the first case, the bottom ... 
On free convection and heat transfer in a micropolar fluid flow past a moving semiinfinite plate.
(2012)In this dissertation we investigate free convective heat and mass transfer in micropolar fluid flow past a moving semiinfinite vertical porous plate in the presence of a magnetic field. The aim of this study was to use ... 
On the theory of the frobenius groups.
(2012)The Frobenius group is an example of a split extension. In this dissertation we study and describe the properties and structure of the group. We also describe the properties and structure of the kernel and complement, ... 
Continuous symmetries of difference equations.
(20130604)We consider the study of symmetry analysis of difference equations. The original work done by Lie about a century ago is known to be one of the best methods of solving differential equations. Lie's theory of difference ... 
Lie symmetries of junction conditions for radiating stars.
(20131031)We consider shearfree radiating spherical stars in general relativity. In particular we study the junction condition relating the pressure to the heat flux at the boundary of the star. This is a nonlinear equation in ... 

Mathematical modeling of R5 and X4 HIV : from within host dynamics to the epidemiology of HIV infection.
Most existing models have considered the immunological processes occurring within the host and the epidemiological processes occurring at population level as decoupled systems. We present a new model using continuous ...