Browsing Research Articles (Mathematical Sciences) by Title
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Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
(De Gruyter, 2017)A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers. 
Robustness of rigid and adaptive networks to species loss
(Public Library of Science, 2017)Controversies in the complexitystability debate have been attributed to the methodologies used such as topological vs. dynamical approaches or rigid vs. adaptive foraging behaviour of species. Here, we use a bipartite ... 
The seesaw effect of winter temperature change on the recruitment of cotton bollworms Helicoverpa armigera through mismatched phenology
(John Wiley & Sons Ltd., 2015)Knowing how climate change affects the population dynamics of insect pests is critical for the future of integrated pest management. Rising winter temperatures from global warming can drive increases in outbreaks of some ... 
A simulation agespecific tuberculosis model for the Cape Town metropole
(Academy of Science of South Africa, 20130918)Tuberculosis (TB) continues to present an insurmountable health burden in the Western Cape Province of South Africa. TB dynamics in adults is different from that in children, with the former determining the latter. Because ... 
Social and genetic networks of HIV1 transmission in New York City
(PLoS, 20170109)Background Sexually transmitted infections spread across contact networks. Partner elicitation and notification are commonly used public health tools to identify, notify, and offer testing to persons linked in these ... 
Spatial assortment of mixed propagules explains the acceleration of range expansion
(Public Library of Science, 201408)Abstract Range expansion of spreading organisms has been found to follow three types: (i) linear expansion with a constant rate of spread; (ii) biphase expansion with a faster linear expansion following a slower linear ... 
Special subvarieties of Drinfeld modular varieties
(Walter de Gruyter, 201011)We explore an analogue of the Andr´eOort conjecture for subvarieties of Drinfeld modular varieties. The conjecture states that a subvariety X of a Drinfeld modular variety contains a Zariskidense set of complex ... 
Die SuidAfrikaanse uitgebreide maritieme gebied : ’n alternatiewe metode vir die bepaling van die voet van die kontinentale helling
(AOSIS OpenJournal, 2006)Kuslande het ’n eenmalige geleentheid om by die Verenigde Nasies (VN) aansoek te doen om ’n uitgebreide maritieme gebied, indien hul wetenskaplik kan toon dat die voet van die kontinentale helling (VKH) buite hul soewereine ... 
Summations in Bernoulli's triangles via generating functions
(University of Waterloo, 2017)We revisit sums along straight lines of indices in Bernoulli triangles, and emphasize the use of generating functions as the appropriate tool. This leads to more direct and extended results, compared with a recent paper ... 
A survey of new trends in symbolic execution for software testing and analysis
(Springer Verlag, 200910)Symbolic execution is a wellknown program analysis technique which represents program inputs with symbolic values instead of concrete, initialized, data and executes the program by manipulating program expressions involving ... 
A systems dynamic model for drug abuse and drugrelated crime in the Western Cape Province of South Africa
(Hindawi Publishing Corporation, 2017)The complex problem of drug abuse and drugrelated 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 ... 
A Theoretical model for the transmission dynamics of the Buruli Ulcer with saturated treatment
(Hindawi Publishing Corporation, 201408)The management of the Buruli ulcer (BU) in Africa is often accompanied by limited resources, delays in treatment, and macilent capacity in medical facilities. These challenges limit the number of infected individuals that ... 
Thermodynamics analysis of variable viscosity hydromagnetic Couette flow in a rotating system with Hall effects
(MDPI, 20151120)In this paper, we employed both first and second laws of thermodynamics to analyze the flow and thermal decomposition in a variable viscosity Couette flow of a conducting fluid in a rotating system under the combined ... 
The transition from evolutionary stability to branching : a catastrophic evolutionary shift
(Nature Publishing Group, 20160514)Evolutionary branching—residentmutant coexistence under disruptive selection—is one of the main contributions of Adaptive Dynamics (AD), the mathematical framework introduced by S.A.H. Geritz, J.A.J. Metz, and coauthors ... 
Underestimating the probability of coincidence
(Obiter Law Journal: Nelson Mandela Metropolitan University (NMMU), Faculty of Law, 2014)Coincidences are more common than most people might expect. It is quite possible that different pieces of evidence that seem to point in the same direction do so coincidentally. We come to the best possible conclusion about ... 
Voorwerprekonstruksie vanaf verskeie onbeheerde sigpunte
(AOSIS Publishing, 20111027)Object reconstruction from multiple uncontrolled viewpoints. We present a featurebased approach to reconstruct unknown objects in 3D, using only a sequence of images from multiple views. The camera motion between ... 
Zeta diversity as a concept and metric that unifies incidencebased biodiversity patterns
(The University of Chicago Press, 201411)Patterns in species incidence and compositional turnover are central to understanding what drives biodiversity. Here we propose zeta (ζ) diversity, the number of species shared by multiple assemblages, as a concept and ...