• A systems dynamic model for drug abuse and drug-related crime in the Western Cape Province of South Africa 

      Nyabadza, Farai; Coetzee, Lezanie (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 ...
    • Summations in Bernoulli's triangles via generating functions 

      Oliver, Kamilla; Prodinger, Helmut (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 ...
    • Robustness of rigid and adaptive networks to species loss 

      Nuwagaba, Savannah; Zhang, Feng; Hui, Cang (Public Library of Science, 2017)
      Controversies in the complexity-stability 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 ...
    • Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions 

      Prodinger, Helmut (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.
    • Paths vs. stars in the local prole of trees 

      Czabarka, Eva; Szekely, Laszlo A.; Wagner, Stephan (Electronic Journal of Combinatorics, 2017)
      The aim of this paper is to provide an affirmative answer to a recent question by Bubeck and Linial on the local profile of trees.
    • On q-Quasiadditive and q-Quasimultiplicative Functions 

      Kropf, Sara; Wagner, Stephan (Electronic Journal of Combinatorics, 2017)
      In this paper, we introduce the notion of q-quasiadditivity of arithmetic functions, as well as the related concept of q-quasimultiplicativity, which generalise strong q-additivity and -multiplicativity, respectively. ...
    • No evidence for extensions to the standard cosmological model 

      Heavens, Alan; Fantaye, Yabebal; Sellentin, Elena; Eggers, Hans; Hosenie, Zafiirah; Kroon, Steve; Mootoovaloo, Arrykrishna (American Physical Society, 2017)
      We compute the Bayesian evidence for models considered in the main analysis of Planck cosmic microwave background data. By utilizing carefully defined nearest-neighbor distances in parameter space, we reuse the Monte Carlo ...
    • Modelling the role of correctional services on gangs : insights through a mathematical model 

      Nyabadza, F.; Ogbogbo, C. P.; Mushanyu, J. (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 ...
    • Modelling the potential role of media campaigns in ebola transmission dynamics 

      Njankou, Sylvie Diane Djiomba; Nyabadza, Farai (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? 

      Miller, Joseph T.; Hui, Cang; Thornhil, Andrew H.; Gallien, Laure; Le Roux, Johannes J.; Richardson, David M. (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 ...
    • Host-seeking efficiency can explain population dynamics of the tsetse fly Glossina morsitans morsitans in response to host density decline 

      Lord, Jennifer S.; Mthombothi, Zinhle; Lagat, Vitalis K.; Atuhaire, Fatumah; Hargrove, John W. (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 ...
    • Hopf and Lie algebras in semi-additive varieties 

      Porst, Hans E. (Logical Methods in Computer Science, 2017)
      We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor. These investigations are based on the concept of the ...
    • Evolutionary fields can explain patterns of high-dimensional complexity in ecology 

      Wilsenach, James; Landi, Pietro; Hui, Cang (American Physical Society, 2017)
      One of the properties that make ecological systems so unique is the range of complex behavioral patterns that can be exhibited by even the simplest communities with only a few species. Much of this complexity is commonly ...
    • Combining uncertainties in a court of law using Bayesian networks 

      Muller, M. A. (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 ...
    • Biocapacity optimization in regional planning 

      Guo, Jianjun; Yue, Dongxia; Li, Kai; Hui, Cang (Nature Research, 2017)
      Ecological overshoot has been accelerating across the globe. Optimizing biocapacity has become a key to resolve the overshoot of ecological demand in regional sustainable development. However, most literature has focused ...
    • Application of Smirnov words to waiting time distributions of runs 

      Freiberg, Uta; Heuberger, Clemens; Prodinger, Helmut (Electronic Journal of Combinatorics, 2017)
      Consider infinite random words over a finite alphabet where the letters occur as an i.i.d. sequence according to some arbitrary distribution on the alphabet. The expectation and the variance of the waiting time for the ...