Browsing Doctoral Degrees (Applied Mathematics) by Advisor "Govinder, Keshlan Sathasiva."
Now showing items 1-11 of 11
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Analysis of multiple control strategies for pre-exposure prophylaxis and post-infection interventions on HIV infection.
(2016)Abstract available in PDF file. -
Analysis of shear-free spherically symmetric charged relativistic fluids.
(2011)We study the evolution of shear-free spherically symmetric charged fluids in general relativity. This requires the analysis of the coupled Einstein-Maxwell system of equations. Within this framework, the master field ... -
An analysis of symmetries and conservation laws of some classes of PDEs that arise in mathematical physics and biology.
(2016)In this thesis, the symmetry properties and the conservation laws for a number of well-known PDEs which occur in certain areas of mathematical physics are studied. We focus on wave equations that arise in plasma physics, ... -
Applications of Lie symmetries to gravitating fluids.
(2011)This thesis is concerned with the application of Lie's group theoretic method to the Einstein field equations in order to find new exact solutions. We analyse the nonlinear partial differential equation which arises ... -
Differential equations for relativistic radiating stars.
(2013)We consider radiating spherical stars in general relativity when they are conformally flat, geodesic with shear, and accelerating, expanding and shearing. We study the junction conditions relating the pressure to the ... -
Generalized travelling wave solutions for a microscopic chemotaxis model.
(2014)In biology cell migration is one of the most critical processes, for it is decisive in the mechanisms leading to the beginning of life. The collective migration of cells via wave motion plays a key role in understanding ... -
Group theoretic approach to heat conducting gravitating systems.
(2013)We study shear-free heat conducting spherically symmetric gravitating fluids defined in four and higher dimensional spacetimes. We analyse models that are both uncharged and charged via the pressure isotropy condition ... -
Modelling waterborne diseases.
(2013)Waterborne diseases are among the major health problems threatening the life of individuals globally. This thesis investigates the dynamics of waterborne disease under different conditions and consequently determines ... -
New exact solutions for neutral and charged shear-free relativistic fluids.
(2022)We study shear-free gravitating fluids in general relativity. We first analyse the integrability of the Emden-Fowler equation that governs the behaviour of shear-free neutral perfect fluid distributions. We find a new ... -
Using epidemiological mathematical models to understand the transmission dynamics of bovine tuberculosis in buffalo and cattle populations.
(2015)In South Africa, buffalo are the maintenance hosts of Mycobacterium bovis (M. bovis), a pathogen that causes bovine tuberculosis in wildlife and domesticated animals. To understand the transmission dynamics of M. bovis, ...