Department of Mathematical Sciences
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Modelling the role of correctional services on gangs : insights through a mathematical model
(Royal Society, 2017)Research has shown that gang membership increases the chances of offending, antisocial behaviour and drug use. Gang membership should be acknowledged as part of crime prevention and policy designs, and when developing ... -
Host-seeking efficiency can explain population dynamics of the tsetse fly Glossina morsitans morsitans in response to host density decline
(Public Library of Science, 2017)Females of all blood-feeding arthropod vectors must find and feed on a host in order to produce offspring. For tsetse—vectors of the trypanosomes that cause human and animal African trypanosomiasis—the problem is more ... -
Modelling the potential role of media campaigns in ebola transmission dynamics
(Hindawi Publishing Corporation, 2017)A six-compartment mathematical model is formulated to investigate the role of media campaigns in Ebola transmission dynamics. The model includes tweets or messages sent by individuals in different compartments. The media ... -
Is invasion success of Australian trees mediated by their native biogeography, phylogenetic history, or both?
(Oxford University Press on behalf of the Annals of Botany Company, 2017)For a plant species to become invasive it has to progress along the introduction-naturalization-invasion (INI) continuum which reflects the joint direction of niche breadth. Identification of traits that correlate with and ... -
Combining uncertainties in a court of law using Bayesian networks
(Obiter Law Journal: Nelson Mandela Metropolitan University (NMMU), Faculty of Law, 2017)People generally have difficulty dealing with the counter-intuitive notion of probability, and therefore they often misunderstand aspects of uncertainty. This is particularly significant in a court of law when for example ... -
Investigating tumour micro environment dynamics based on cytokine-mediated innate-adaptive immunity
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Cancer is a leading cause of death worldwide, yet much is still unknown about its mechanism of establishment, recurrence cycle and destruction. It is known that the successive alterations that occur ... -
Refinable vector splines and multi-wavelets with shortest matrix filters
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : A widely used class of basis functions in signal analysis is obtained from the dilation and integer shifts of a given (compactly supported) wavelet ψ : R → R, by means of which a (scalar) signal can ... -
Assessment of a measles outbreak response vaccination campaign, and two measles parameter estimation methods
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Measles is highly transmissible, and is a leading cause of vaccine-preventable death among children. Consequently, it is regarded as a public health issue worldwide and has been targeted for elimination ... -
Enumeration of tanglegrams
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Tanglegrams are graphs obtained by taking two binary rooted trees with the same number of leaves and a perfect matching between the leaves of the two trees. Tanglegrams appear in biology in the study ... -
Modelling the effects of temperature change on the dynamics of tsetse flies and trypanosomiasis disease transmission
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT : Global temperatures have increased over recent decades. This is expected to have an impact on vector-borne diseases, raising questions such as: Will the increased temperature result in changing disease ... -
Oriented 123-TQFTs via String-Nets and State-Sums
(Stellenbosch : Stellenbosch University, 2018-03)ENGLISH ABSTRACT :In a series of papers Bartlett, Douglas, Schommer-Pries, and Vicary discovered a finite generators-and-relations presentation of the oriented bordism bicategory. This simplifies the task of finding ... -
A systems dynamic model for drug abuse and drug-related crime in the Western Cape Province of South Africa
(Hindawi Publishing Corporation, 2017)The complex problem of drug abuse and drug-related crimes in communities in the Western Cape province cannot be studied in isolation but through the system they are embedded in. In this paper, a theoretical model to evaluate ... -
Modelling human immune response dynamics to Mycobacterium Tuberculosis infection.
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH SUMMARY: Tuberculosis (TB), caused by Mycobacterium tuberculosis (MTB) still poses a great challenge to the well-being of the population, particularly in Sub-Saharan Africa. The ability to trigger strong mounted ... -
Contributions to projective group theory
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : Projective Group Theory (PGT for short) provides a self-dual axiomatic context that allows one to establish homomorphism theorems for (non-abelian) group-like structures. The present thesis has two ... -
Towards projective set theory
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : In this thesis an axiomatic framework is presented which extends the projective group theory introduced by Z Janelidze to also hold for sets. The isomorphism theorems are reformulated so that they hold ... -
Contributions to the theory of near-vector spaces
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : The purpose of this thesis is to give an exposition and expand the theory of near-vector spaces. Near-vector space theory is a new and rich field of mathematics and has been used in several applications, ... -
A meta-analysis of the association between intimate partner violence and age disparity in sub-Saharan Africa
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : Intimate partner violence (IPV) is the most common form of violence against women and a worldwide human rights and public health problem. IPV against women can be emotional, physical, and sexual in ... -
Analysis of partner turnover rate and the lifetime number of sexual partners in Cape Town using generalized linear models
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT :A large number of analyses have been carried out to investigate how sexually active people contracted human immunodeficiency virus (HIV) by using common indicators like the number of new sexual partners ... -
Modelling the dynamics of two political parties in the presence of switching
(SpringerOpen, 2016)This paper generalizes the model proposed by Misra, by considering switching between political parties. In the model proposed, the movements of members from political party B to political party C and vice versa, are ... -
Centrality in random trees
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : We consider two notions of centrality—namely, the betweenness centrality of a node and whether or not it is a centroid—in families of simply generated and increasing trees. Both of these concepts are ...
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