Van der Hoff, Quay; Harding, Ansie(Taylor and Francis, 2018)
It is well-known that the Lotka–Volterra predator-prey model has a family of periodic orbits, but does not possess limit cycles and therefore the model is said to be structurally unstable. The Lotka–Volterra model is a ...
Fragmentation‐coagulation processes, in which aggregates can break up or get together, often occur together with decay processes in which the components can be removed from the aggregates by a chemical reaction, evaporation, ...
Using the q-version of Zeilberger's algorithm, we provide a procedure to find mixed recurrence equations satisfied by classical q-orthogonal polynomials with shifted parameters. These equations are used to investigate ...
Guambe, Calisto; Kufakunesu, Rodwell(Taylor and Francis, 2018)
We discuss an optimal investment, consumption and insurance problem of a wage earner under inflation. Assume a wage earner investing in a real money account and three asset prices, namely: a real zero-coupon bond, the ...
Harding, Ansie; Engelbrecht, Johann C. (Johannes Cornelis), 1946-(University of Venda, 2018)
The study is set at a large, research-intensive university in South Africa. The teaching
model in mathematics for entry level students is that of large group teaching, with up
to five hundred students per group. The ...
Banasiak, Jacek; Puchalska, Aleksandra(American Institute of Mathematical Sciences, 2018-07)
In this article we consider asymptotic properties of network flow models with fast transport along the edges and explore their connection with an operator version of the Euler formula for the exponential function. This ...
Banda, Mapundi K.; Weldegiyorgis, Gediyon Y.(Taylor and Francis, 2018)
In this paper, numerical boundary stabilisation of a non-uniform hyperbolic system of balance laws is studied. For the numerical discretisation of the balance laws, a ﬁrst order explicit upwind scheme is used for the spatial ...
Agbebaku, Dennis Ferdinand; Van der Walt, Jan Harm(University of Novi Sad, Serbia, 2017-04-18)
This paper deals with an interpretation of the Order Completion Method for systems of nonlinear partial differential equations
(PDEs) in terms of suitable differential algebras of generalized functions.
In particular, ...
In this dissertation, we study the application of risk measures to portfolio optimisation. A risk measure is a functional over the set of random portfolio returns mappings . We present the various risk measures in this ...
Semiclassical orthogonal polynomials are polynomials orthogonal with respect to semiclassical weights. The fascinating link between semiclassical orthogonal polynomials and discrete integrable equations can be traced back ...
Biggs, Rory; Remsing, Claudiu C.(Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2017)
We consider state space equivalence and (a specialization of) feedback
equivalence in the context of left-invariant control affine systems. Simple algebraic
characterizations of both local and global forms of these ...
Mumba, Chibale Kachinda(University of Pretoria, 2018)
Deterministic models for the transmission dynamics of HIV/AIDS and trichomonas vaginalis
(TV) in a human population are formulated and analysed. The models which
assumed standard incidence formulations are shown to have ...
In the paper we present a survey of recent results obtained by the author that concern discrete fragmentation–coagulation models with growth. Models like that are particularly important in mathematical biology and ecology ...
Berge, Tsanou; Lubuma, Jean M.-S.; Tasse, Arsene Jaures Ouemba; Tenkam, Herve Michel(University of Szeged, 2018)
Ebola virus disease (EVD) is a zoonotic disease (i.e. disease that is spread
from animals to people). Therefore human beings can be infected through direct contact
with an infected animal (fruit-eating bat or great ape). ...
In this article, the effects of time delay and carrying capacity in the dynamics of viral phytoplankton and consistence numerics are studied. Basic properties and stabilities of equilibria are rigorously analyzed and ...
Ugwunnadi, Godwin Chidi; Khan, Abdul Rahim; Abbas, Mujahid(Springer, 2018-06)
We introduce a hybrid proximal point algorithm and establish its strong convergence to a common solution of a proximal point of a lower semi-continuous mapping and a fixed point of a demicontractive mapping in the framework ...
Oil palm production is of economical importance in several southern countries. The increasing demand of oil palm put a lot of pressure in several places where the rain forest and thus the tropical diversity are in danger ...