1 citations · 1 across the 7 of their papers we have counts for
8 papers
Perturbation and bifurcation analysis of a gonorrhoea dynamics model with control
Louis Omenyi, Aloysius Ezaka, Henry O. Adagba +4
A model for the transmission dynamics of gonorrhoea with control incorporating passive immunity is formulated. We show that introduction of treatment or control parameters leads to…
Vorticity Gramian of compact Riemannian manifolds
Louis Omenyi, Emmanuel Nwaeze, Friday Oyakhire +1
The vorticity of a vector field on 3-dimensional Euclidean space is usually given by the curl of the vector field. In this paper, we extend this concept to n-dimensional compact an…
A sensitivity analysis of a gonorrhoea dynamics and control model
Louis Omenyi, Aloysius Ezaka, Henry O. Adagba +2
We formulate and analyse a robust mathematical model of the dynamics of gonorrhoea incorporating passive immunity and control. Our results show that the disease-free and endemic eq…
Gegenbauer kernel filtration on the unit hypersphere
Louis Omenyi, McSylvester Omaba
Filtration of quantifiable objects by smoothing kernels on Riemannian manifolds for visualisation is an ongoing research. However, using common filters created for linear domains o…
Some domination inequalities for spectral zeta kernels on closed Riemannian manifolds
Louis Omenyi, McSylvester Omaba
We first prove Kato's inequalities for the Laplacian and a Schrdinger-type operator on smooth functions on closed Riemannian manifolds. We then apply the result to establ…
Rellich-Kondrakov embedding of the Laplacian resolvent on the torus
Louis Omenyi
This paper proves that the domain of the Laplacian, $\DEL,$ on a closed Riemannian manifold, is compactly embedded in Particularly, the resolvent of the Lapl…
Generic Simplicity of a Schrödinger-type Operator on the Torus
Louis Omenyi, Emmanuel Nwaeze, McSylvester Omaba
The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a p…
On Non-existence of Global Weak-predictable-random-field Solutions to a Class of SHEs
Ejighikeme McSylvester Omaba, Emmanuel Nwaeze, Louis Okechukwu Omenyi
The multiplicative non-linearity term is usually assumed to be globally Lipschitz in most results on SPDEs. This work proves that the solutions fail to exist if the non-linearity t…