Research Articles (Mathematics)
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Stability and control in a stochastic model of malaria population dynamics
(Springer, 2023)This article proves a stability theorem for the diseasefree equilibrium of a stochastic differential equations model of malaria disease dynamics. The theorem is formulated in terms of an invariant which is similar to the ... 
A robust numerical simulation of a fractional black–scholes equation for pricing American options
(Springer Link, 2024)After the discovery of fractal structures of financial markets, fractional partial differential equations (fPDEs) became very popular in studying dynamics of financial markets. Available research results involves two key ... 
On the Pauli group on 2qubits in dynamical systems with pseudofermions
(Walter de Gruyter GmbH, 2024)The group of matrices P1 of Pauli is a finite 2group of order 16 and plays a fundamental role in quantum information theory, since it is related to the quantum information on the 1qubit. Here we show that both P1 and the ... 
An efficient numerical method for pricing doublebarrier options on an underlying stock governed by a fractal stochastic process.
(MDPI, 2023)After the discovery of the fractal structures of financial markets, enormous effort has been dedicated to finding accurate and stable numerical schemes to solve fractional BlackScholes partial differential equations. This ... 
Onesided maximal inequalities for a randomly stopped bessel process
(Taylor & Francis Group, LLC, 2023)We prove a onesided maximal inequality for a randomly stopped Bessel process of dimension (Formula presented.) For the special case when α = 1, we obtain a sharp BurkholderGundy inequality for Brownian motion as a ... 
Modeling the impact of combined use of Covid Alert SA app and vaccination to curb Covid19 infections in South Africa
(Public Library of Science, 2023)The unanticipated continued deeprooted trend of the Severe Acute Respiratory Syndrome Coronavirus2 the originator pathogen of the COVID19 persists posing concurrent anxiety globally. More effort is affixed in the ... 
A NSFD method for the singularly perturbed BurgersHuxley equation
(Frontiers Media, 2023)This article focuses on a numerical solution of the singularly perturbed BurgersHuxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a ... 
Binary codes from mary ncubes Q(n) (m)
(American Institute of Mathematical Sciences, 2021)We examine the binary codes from adjacency matrices of the graph with vertices the nodes of the mary ncube Qmn and with adjacency de ned by the Lee metric. For n = 2 and m odd, we obtain the parameters of the code and ... 
On the exact constants in onesided maximal inequalitiesfor Bessel processes
(Taylor and Francis Group, 2023)In this paper, we establish a onesided maximal moment inequalitywith exact constants for Bessel processes. As a consequence, weobtain an exact constant in the BurkholderGundy inequality. Theproof of our main result is ... 
A NSFD method for the singularly perturbed BurgersHuxley equation
(Frontiers Media, 2023)This article focuses on a numerical solution of the singularly perturbed BurgersHuxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a reliable ... 
A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer
(Wiley, 2019)The objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of timedependent singularly perturbed parabolicconvection–diffusion problems. The solution to the ... 
Some metacayley graphs on dihedral groups
(Springer, 2019)In this paper, we define metaCayley graphs on dihedral groups. We fully determine the automorphism groups of the constructed graphs in question. Further, we prove that some of the graphs that we have constructed do not ... 
Modeling the dynamics of an epidemic under vaccination in two interacting populations
(Hindawi, 2012)Mathematical modeling of the numerical evolution of infectious diseases has become an important tool for disease control and eradication when possible. Much work has been done on the problem of how a given population is ... 
Generalizing the Hilton–Mislin genus group
(Elsevier, 2001)For any group H, let H be the set of all isomorphism classes of groups K such that K H . For a finitely generated group H having finite commu Ž .tator subgroup H, H , we define a group structure on H ... 
Graphs, designs and codes related to the ncube
(Elsivier, 2009)For integers n 1; k 0, and k n, the graph k n has vertices the 2n vectors of Fn 2 and adjacency defined by two vectors being adjacent if they differ in k coordinate positions. In particular 1 n is the ... 
Protein interaction networks as metric spaces: A novel perspective on distribution of hubs
(BMC, 2014)In the postgenomic era, a central and overarching question in the analysis of proteinprotein interaction networks continues to be whether biological characteristics and functions of proteins such as lethality, physiological ... 
Optimal strategy for controlling the spread of HIV/AIDS disease: A case study of South Africa
(Taylor and Francis Group, 2012)HIV/AIDS disease continues to spread alarmingly despite the huge amounts of resources invested infighting it. There is a need to integrate the series of control measures available to ensure a consistentreduction ... 
Performance of Richardson extrapolation on some numerical methods for a singularly perturbed turning point problem whose solution has boundary layers
(KOREAN MATHEMATICAL SOC, 2014)Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. ... 
Control and elimination in an SEIR model for the disease dynamics of Covid19 with vaccination
(AIMS Press, 2023)COVID19 has become a serious pandemic affecting many countries around the world since it was discovered in 2019. In this research, we present a compartmental model in ordinary differential equations for COVID19 with ... 
Modeling the impact of combined use of Covid Alert SA app and vaccination to curb Covid19 infections in South Africa
(Public Library of Science, 2023)The unanticipated continued deeprooted trend of the Severe Acute Respiratory Syndrome Coronavirus2 the originator pathogen of the COVID19 persists posing concurrent anxiety globally. More effort is affixed in the ...