## Search

Now showing items 11-20 of 85

#### Mathematical analysis of pre-exposure prophylaxis on HIV infection.

(2012)

We develop a mathematical model which seeks to assess the impact of HIV Pre-Exposure
Prophylaxis (PrEP) on the prevalence and incidence of HIV infection. Mathematical analysis
of the model is carried out to establish the ...

#### The interplay of dynamical systems analysis and group theory.

(2011)

We investigate the relationship between the Dynamical Systems analysis and the Lie Symmetry
analysis of ordinary differential equations. We undertake this investigation by looking at a
relativistic model of self-gravitating ...

#### Queueing and communication networks governed by generalised Lindley-Loynes equations.

(1993)

Several decades after A.K. Erlang originated the theory of queues and queueing
networks, D.V. Lindley added impetus to the development of this field
by determining a recursive relation for waiting times.
Part I of this ...

#### Real options : duopoly dynamics with more than one source of randomness.

(2009)

The valuation of real options has been of interest for some time. Recently,
the model has been revised to include more than one source of randomness,
e.g. Paxson and Pinto (2005). In this dissertation, we present a
model ...

#### Semiperfect CFPF rings.

(1987)

The Wedderburn-Artin Theorem (1927) characterised
semisimple Artinian rings as finite direct products of
matrix rings over division rings. In attempting to
generalise Wedderburn's theorem, the natural starting point
will ...

#### A classical approach for the analysis of generalized linear mixed models.

(2004)

Generalized linear mixed models (GLMMs) accommodate the study of overdispersion and correlation inherent in hierarchically structured data. These models are an extension of generalized linear models (GLMs) and linear mixed ...

#### An overview of hidden symmetries.

(2012)

Approaches to nding solutions to di erential equations are usually ad hoc.
One of the more successful methods is that of group theory, due to Sophus
Lie. In the case of ordinary di erential equations, the subsequent ...

#### Analysis of co-infection of human immunodeficiency virus with human papillomavirus.

(2014)

We formulate a deterministic mathematical model for the co-infection of HPV with HIV without
treatment. Mathematical techniques were used to analyze the stability of the models in terms of basic
reproduction numbers for ...

#### Representation of regular formal languages.

(2014)

This dissertation presents three different approaches to representing Regular Formal languages, i.e., regular expressions, finite acceptors and regular grammars. We define how each method is used to represent the language, ...

#### Exact solutions for spherical relativistic models.

(2011)

In this thesis we study relativistic models of gravitating
uids with heat
ow and electric
charge. Firstly, we derive the model of a charged shear-free spherically symmetric cosmological
model with heat
ow. The ...