Browsing Mathematics by Issue Date
Now showing items 21-40 of 70
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Self-similarity of human protein interaction networks: a novel strategy of distinguishing proteins
(2015)The successful determination of reliable protein interaction networks (PINs) in several species in the post-genomic era has hitherto facilitated the quest to understanding systems and structural properties of such networks. ... -
On maximal inequalities via comparison principle
(SpringerOpen, 2015)Under certain conditions, we prove a new class of one-sided, weighted, maximal inequalities for a standard Brownian motion. Our method of proof is mainly based on a comparison principle for solutions of a system of ... -
Effect of spatial configuration of an extended nonlinear Kierstead-Slobodkin reaction-transport model with adaptive numerical scheme
(SpringerOpen, 2016)In this paper, we consider the numerical simulations of an extended nonlinear form of Kierstead-Slobodkin reaction-transport system in one and two dimensions. We employ the popular fourth-order exponential time differencing ... -
Codes from adjacency matrices of uniform subset graphs
(Springer, 2017)Studies of the p-ary codes from the adjacency matrices of uniform subset graphs Γ(n,k,r)Γ(n,k,r) and their reflexive associates have shown that a particular family of codes defined on the subsets are intimately related ... -
A model of population dynamics of TB in a prison system and application to South Africa
(BioMed Central, 2017)BACKGROUND: Tuberculosis (TB) continues to spread in South African prisons in particular, as prisons are over-capacitated and have poor ventilation. The awaiting trial detainees are not screened on admission and are at ... -
An SEIRS epidemic model with stochastic transmission
(Springer, 2017)For an SEIRS epidemic model with stochastic perturbations on transmission from the susceptible class to the latent and infectious classes, we prove the existence of global positive solutions. For sufficiently small values ... -
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 ... -
Efficient numerical method for a model arising in biological stoichiometry of tumor dynamics
(American Institute of Mathematical Sciences, 2019)In this paper, we extend a system of coupled first order non-linear system of delay differential equations (DDEs) arising in modeling of stoichiometry of tumour dynamics, to a system of diffusion-reaction system of partial ... -
A fitted numerical method for a model arising in HIV-related cancer-immune system dynamics
(Tianjin Polytechnic University, 2019)The effect of diseases such as cancer and HIV among our societies is evident. Thus, from the mathematical point of view many models has been developed with the aim to contribute towards understanding the dynamics of ... -
A fitted operator method for tumor cells dynamics in their micro-environment
(Tianjin Polytechnic University, 2019)In this paper, we consider a quasi non-linear reaction-diffusion model designed to mimic tumor cells’ proliferation and migration under the influence of their micro-environment in vitro. Since the model can be used to ... -
Numerical solution for a problem arising in angiogenic signalling
(American Institute of Mathematical Sciences, 2019)Since the process of angiogenesis is controlled by chemical signals, which stimulate both repair of damaged blood vessels and formation of new blood vessels, then other chemical signals known as angiogenesis inhibitors ...