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Closure, interior and neighbourhood in a category
(Hacettepe University, 2018)
The natural correspondences in topology between closure, interior
and neighbourhood no longer hold in an abstract categorical setting
where subobject lattices are not necessarily Boolean algebras. We
analyse three ...
Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application
(Communications in Mathematical Biology and Neuroscience, 2018)
In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady ...
A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis
(SpringerOpen, 2018)
Antiretroviral treatment (ART) and oral pre-exposure prophylaxis (PrEP) have recently
been used efficiently in management of HIV infection. Pre-exposure prophylaxis
consists in the use of an antiretroviral medication to ...
Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application
(Tianjin Polytechnic University, 2018)
In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy
application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady
state ...
New parameter-uniform discretisations of singularly perturbed Volterra integro-differential equations
(Natural Sciences Publishing, 2018)
We design and analyse two numerical methods namely a fitted mesh and a fitted operator finite difference methods for
solving singularly perturbed Volterra integro-differential equations. The fitted mesh method we propose ...
A stochastic TB model for a crowded environment
(Hindawi, 2018)
We propose a stochastic compartmental model for the population dynamics of tuberculosis. The model is applicable to crowded
environments such as for people in high density camps or in prisons. We start off with a known ...
Modelling the effect of bednet coverage on malaria transmission in South Sudan
(Public Library of Science, 2018)
A campaign for malaria control, using Long Lasting Insecticide Nets (LLINs) was launched
in South Sudan in 2009. The success of such a campaign often depends upon adequate available
resources and reliable surveillance ...
Automorphism groups of graph covers and uniform subset graphs
(Taylor and Francis Group, 2018)
Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note weextend the exploration of automorphism groups of distance preserving graph covers. We apply the ...
A robust spectral method for pricing of American put options on zero-coupon bonds
(Global-Science Press, 2018)
American put options on a zero-coupon bond problem is reformulated as a
linear complementarity problem of the option value and approximated by a nonlinear
partial differential equation. The equation is solved by an ...
Relative homotopy in relational structures
(Cambridge University Press, 2018)
The homotopy groups of a finite partially ordered set (poset) can be described entirely in the
context of posets, as shown in a paper by B. Larose and C. Tardif. In this paper we describe the relative
version of such a ...