Browsing Department of Mathematics by Author "Karuhanga, Martin"
Now showing items 1-9 of 9
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Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip
Karuhanga, Martin (Journal of Mathematics, 2018-12-12)This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schrodinger operators in a strip subject to Neumann boundary conditions. The estimates involve weighted 𝐿1 norms and 𝐿 ... -
Estimates for the number of eigenvalues of two dimensional Schr odinger operators lying below the essential spectrum
Karuhanga, Martin (arXiv preprint arXiv, 2016-09)The celebrated Cwikel-Lieb-Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schr odinger operators in dimension three and higher. The situation is much more difficult in the two ... -
Estimates for the number of eigenvalues of two dimensional Schrodinger operators lying below the essential spectrum
Karuhanga, Martin (arXiv preprint arXiv, 2016-09)The celebrated Cwikel-Lieb-Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schrodinger operators in dimension three and higher. The situation is much more difficult in the two dimensional ... -
A Mathematical Model for the Co-infection Dynamics of Pneumocystis Pneumonia and HIV/AIDS with Treatment
Byamukama, Michael; Kajunguri, Damian; Karuhanga, Martin (Science Journal of Applied Mathematics and Statistics, 2023)The control of opportunistic infections among HIV infected individuals should be one of the major public health concerns in reducing mortality rate of individuals living with HIV/AIDS. In this study a deterministic ... -
A Mathematical Model for the Dynamics of Onchocerciasis With Vector Control and Mass Drug Administration
Karuhanga, Martin; Yiga, Victor (Journal of Applied Mathematics, 2024)In this paper, we investigate the transmission dynamics of onchocerciasis with asymptomatic infected humans using a mathematical model. The model incorporates interventions for treatment and vector control to evaluate the ... -
On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials
Karuhanga, Martin (Journal of Mathematical Physics, 2020-05-20)We present upper estimates for the number of negative eigenvalues of two-dimensional Schrodinger operators with potentials generated by Ahlfors regular measures of arbitrary fractional dimension α ∈ (0, 2]. The estimates ... -
On the discrete spectrum of Schr¨odinger operators with Ahlfors regular potentials in a strip
Karuhanga, Martin (Journal of Mathematical Analysis and Applications, 2019-03-15)In this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schrodinger operators with potentials generated by Ahlfors regular measures in a strip subject to two different ... -
On the spectrum of the Laplacian on a strip with various boundary conditions
Karuhanga, Martin (Far East Journal of Mathematical Sciences (FJMS, 2017-07-30)In this paper, the spectrum of the Laplace operator on a strip with constant width subject to four different boundary conditions is investigated. In all the four situations, we prove that its spectrum starts from the first ... -
Optimal control analysis of pneumonia and HIV/AIDS co-infection model
Byamukama, Michael; Kajunguri, Damian; Karuhanga, Martin (Mathematics Open, 2024)A Pneumonia and HIV/AIDS deterministic co-infection model is constructed and utilized to assess how the dynamics of Pneumonia and HIV/AIDS impact on each other. In order to summarize the analysis of Pneumonia and HIV/AIDS ...