Research Articles (Mathematical Sciences)
Recent Submissions

Parabolic curve fitting study subject to Joule heating in MHD thermally stratified mixed convection stagnation point flow of EyringPowell fluid induced by an inclined cylindrical surface
(Elsevier, 2018)The current analysis is carried out to envision the properties of magnetohydrodynamic boundary layer stagnation point flow of EyringPowell (nonNewtonian) fluid induced by an inclined stretching cylindrical surface in ... 
Quantifying multiplesite compositional turnover in an Afrotemperate forest, using zeta diversity
(SpringerOpen, 2018)Background: Species turnover is typically measured by partitioning diversity components into alpha and pairwise beta diversity. However, alpha and beta components cannot express the full spectrum of multiplesite ... 
Growing and destroying Catalan–Stanley trees
(Discrete Mathematics and Theoretical Computer Science, 2018)Stanley lists the class of Dyck paths where all returns to the axis are of odd length as one of the many objects enumerated by (shifted) Catalan numbers. By the standard bijection in this context, these special Dyck paths ... 
Modeling topdown and bottomup drivers of a regime shift in invasive aquatic plant stable states
(Frontiers Media, 2019)The evidence for alternate stable states characterized by dominance of either floating or submerged plant dominance is well established. Inspired by an existing model and controlled experiments, we conceptually describe a ... 
Visibility problems related to skip lists
(Combinatorial Mathematics Society of Australasia, 2018)For sequences (words) of geometric random variables, visibility problems related to a sun positioned in the northwest are considered. This leads to a skew version of such words. Various parameters are analyzed, such as ... 
Evolutionary fields can explain patterns of highdimensional complexity in ecology
(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 ... 
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. 
Hopf and Lie algebras in semiadditive varieties
(Logical Methods in Computer Science, 2017)We study Hopf monoids in entropic semiadditive 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 ... 
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 ... 
Biocapacity optimization in regional planning
(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 ... 
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 ... 
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 ... 
Hostseeking 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 bloodfeeding 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 ... 
No evidence for extensions to the standard cosmological model
(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 nearestneighbor distances in parameter space, we reuse the Monte Carlo ... 
Modelling the potential role of media campaigns in ebola transmission dynamics
(Hindawi Publishing Corporation, 2017)A sixcompartment 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 ... 
Paths vs. stars in the local prole of trees
(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 qQuasiadditive and qQuasimultiplicative Functions
(Electronic Journal of Combinatorics, 2017)In this paper, we introduce the notion of qquasiadditivity of arithmetic functions, as well as the related concept of qquasimultiplicativity, which generalise strong qadditivity and multiplicativity, respectively. ... 
Application of Smirnov words to waiting time distributions of runs
(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 ... 
Internode morphometrics and allometry of Tonkin Cane Pseudosasa amabilis
(John Wiley & Sons Ltd, 201710)Pseudosasa amabilis (McClure) (Poales: Gramineae) is a typical bamboo species naturally distributed in large area of south China and famous for its culm strength. Although bamboos were found to share the same development ... 
Protection number in plane trees
(University of Belgrade  School of Electrical Engineering, 201710)The protection number of a plane tree is the minimal distance of the root to a leaf; this definition carries over to an arbitrary node in a plane tree by considering the maximal subtree having this node as a root. We ...