Browsing Research Articles (Mathematics) by Title

An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection

Obaid, Hasim; Ouifki, Rachid; Patidar, Kailash C. (De Gruyter Open, 2013)

We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical ...

An assessment of the age reporting in Tanzania population census

Mwambene, Eric; Appunni, Sathiya Susuman; Hamisi, Hamisi F.; Lougue, Siaka; Regassa, Nigatu; Ogujiuba, Kanayo (Academic Research Publishing, 2012)

The objective of this paper is to provide data users with a worldwide assessment of the age reporting in the Tanzania Population Census 2012 data. Many demographic and socio-economic data are age-sex attributed. However, ...

Automorphism groups of graph covers and uniform subset graphs

Mumba, Nephtale; Mwambene, Eric (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 ...

Binary codes and partial permutation decoding sets from the odd graphs

Fish, Washiela; Fray, Roland; Mwambene, Eric (Walter de Gruyter, 2014)

For k ≥ 1, the odd graph denoted by O(k), is the graph with the vertex-set Ω{k} , the set of all k-subsets of Ω = {1, 2, . . . , 2k + 1}, and any two of its vertices u and v constitute an edge [u, v] if and only if u ∩ ...

Binary codes from m-ary n-cubes Q(n) (m)

Key, Jennifer D.; Rodrigues, Bernardo G. (American Institute of Mathematical Sciences, 2021)

We examine the binary codes from adjacency matrices of the graph with vertices the nodes of the m-ary n-cube Qmn and with adjacency de ned by the Lee metric. For n = 2 and m odd, we obtain the parameters of the code and ...

Closure, interior and neighbourhood in a category

Holgate, David; Slapal, Josef (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 ...

Codenseness and openness with respect to an interior operator

Assfaw, F.S; Holgate, D (Springer Nature, 2021)

Working in an arbitrary category endowed with a fixed (E, M) -factorization system such that M is a fixed class of monomorphisms, we first define and study a concept of codense morphisms with respect to a given categorical ...

Codes from adjacency matrices of uniform subset graphs

Fish, W.; Key, J. D.; Mwambene, Eric (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 ...

Contour integral method for European options with jumps

Ngounda, Edgard; Patidar, Kailash C.; Pindza, Edson (Elsevier, 2013)

We develop an efficient method for pricing European options with jump on a single asset. Our approach is based on the combination of two powerful numerical methods, the spectral domain decomposition method and the Laplace ...

Control and elimination in an SEIR model for the disease dynamics of Covid-19 with vaccination

Witbooi, Peter Joseph; Vyambwera, Sibaliwe Maku; Nsuami, Mozart Umba (AIMS Press, 2023)

COVID-19 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 COVID-19 with ...

Effect of spatial configuration of an extended nonlinear Kierstead-Slobodkin reaction-transport model with adaptive numerical scheme

Owolabi, Kolade M.; Patidar, Kailash C. (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 ...

Efficient numerical method for a model arising in biological stoichiometry of tumor dynamics

Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (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 ...

An efficient numerical method for pricing double-barrier options on an underlying stock governed by a fractal stochastic process.

Nuugulu, Samuel Megameno; Patidar, Kailash C; Gideon, Frednard (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 Black-Scholes partial differential equations. This ...

The fibre of a pinch map in a model category

Hardie, Keith A.; Witbooi, Peter J. (Springer Verlag, 2013)

In the category of pointed topological spaces, let F be the homotopy fibre of the pinching map X ∪ CA → X ∪ CA/ X from the mapping cone on a cofibration A → X onto the suspension of A. Gray (Proc Lond Math Soc (3) ...

Fifth order two-stage explicit Runge-Kutta-Nystrom method for the direct integration of second order ordinary differential equations

Okunuga, S.A.; Sofoluwe, A.B.; Ehigie, J.O.; Akanbi, M.A. (Academic Journals, 2012)

In this paper a direct integration of second-order Ordinary Differential Equations (ODEs) of the form using the Explicit Runge-Kutta-Nystrom method with higher derivatives is presented. Various numerical schemes are derived ...