School of Biological, Physical, Mathematics & Actuarial Sciences
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Density and Dentability in Norm-Attainable Classes
(Elsevier Ltd., 2024-03-18)We establish the norm-denseness of the norm-attainable class $NAB(H)$ in the Banach algebra $B(H)$, which consists of all bounded linear operators on a complex Hilbert space $H$. Specifically, for every $O \in NAB(H)$ and ... -
Diversity of endophytic bacteria Isolated from Leguminous Agroforestry Trees in Western Kenya
(AMB Express, 2024-02-08)Plants have diverse and vast niches colonized by endophytic microorganisms that promote the wellbeing of host plant. These microbes inhabit internal plant tissues with no signs of ill health. Bacterial endophytes from many ... -
Integrating Black Soldier Fly (Hermetia illucens) Larvae Meal in Aquaponics System for Lettuce (Lactuca sativa) Production
(East African Journal of Agriculture and Biotechnology, 2024)The adoption of aquaponics systems faces challenges due to the high cost of fish feed, lack of sustainability, and reliance on fishmeal as a primary input. One potential solution to replace fishmeal is the use of black ... -
Evaluating Predictive Value of Schistosoma mansoni Prevalence and Infection Intensity in School-Age Children in Estimating Community-Wide Prevalence in Siaya County, Western Kenya
(medRxiv preprint, 2024-02-20)Background Various milestones have been set targeting the elimination of schistosomiasis with the vision of “a world free of schistosomiasis” including the 2020 and 2025 goals. Despite the increased control and prevention ... -
Numerical Analysis of Prey Refuge Effects on the Stability of Holling Type III Four-Species Predator Prey System
(Scientific Research Publishing, 2023-06-29)The dynamic behavior of a multi-species system that includes a prey refuge and a Holling type III functional response is examined in this work. The pre-requisites for the presence of the equilibrium points, as well as their ... -
Comparative Analysis of Sars-Cov-2 Detection Methods Using Stool, Blood, and Nasopharyngeal Swab Samples
(The Pan African Medical Journal, 2023-09-14)As a public health policy, the ongoing global coronavirus disease 2019 vaccination drives require continuous tracking, tracing, and testing of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Diagnostic testing ... -
Formulation of a Four-Species Food Web System with Prey Refuge and Holling Type III Functional Response
(World Wide Journal of Multidisciplinary Research and Development, 2023-01)The coexistence of interacting biological species is a vital issue for the management of existing resources and the prediction of the long-term survival of each species. Many species become extinct due to several factors ... -
The Use of Machine Learning, Density Functional Theory, and Molecular Dynamics Simulations for the Designing and Screening of Efficient Small Molecule Donors for Organic Solar Cells
(International Journal of Quantum Chemistry, 2022-12-05)Indeed, a proper understanding of materials is necessary to get the full benefit from them. For this purpose, multiscale computational modeling is the ultimate need. For machine learning analysis, data is collected from ... -
Negative Magnetization and Inverse Exchange Bias Effect Induced By Modulating the Relative Proportion of Mn in Gd 2 Co 2−Xmnxo6 Perovskites
(Physical Review, 2023-06-28)The magnetic properties of Gd 2 Co2−x Mnx O6 by modulating the relative proportion of Mn are experimentally investigated in this paper. The experimental results indicated that an intrinsic effect of negative magnetization ... -
Socio-Cultural Practices on the Use of Beetle Grubs as Food and Feed in Western Kenya
(Scientific Reports, 2023-05-13)We examined the socio-cultural practices on the use of beetle grubs as food and feed in western Kenya by interviewing 211 randomly selected households and conducting seven focus group discussions in Bungoma, Kakamega, ... -
Estimation of Population Mean Using Three-Stage Optional RRT Model in the Presence of Measurement Errors under Stratified Two-Phase Sampling
(2023)In the present study, the problem of estimation of the finite population mean of a sensitive study variable using the three-stage optional Randomized Response Technique (RRT) model under measurement errors is addressed. A ... -
On Norm Estimates for Derivations in Norm-Attainable Classes
(Eur. J. Math. Anal, 2023)In this note, we provide detailed characterization of operators in terms of norm-attainability and norm estimates in Banach algebras. In particular, we establish the necessary and sufficient conditions for norm-attainability ... -
Vulnerability of Nyabarongo River Water Abstraction to Climate Change in Rwanda
(International Journal of Environmental Sciences, 2023-02-13)Purpose: Climate change in Rwanda is a great challenge resulting from increased temperature and causing abnormal variability in weather variables and threatening the socio-economic welfare of human beings. Water resources ... -
Using Self-Regulated Learning to Enhance Mathematics Achievement among Grade 11 Learners in Kenya
(Inderscience Enterprises Ltd., 2022-12-01)The study investigated the effect of self-regulated learning (SRL) on mathematics performance among learners in Kenya. The study employed Solomon four research design. A sample size of 408 grade 11 learners from four schools ... -
Granular and Powdered Lime Improves Soil Properties and Maize (Zea mays L.) Performance in Humic Nitisols of Central Highlands in Kenya
(SSRN, 2022-12-19)Soil acidity is a major constraint to crop production on highly weathered tropical soils characterized by high Aluminum (Al) toxicity, low cation exchange capacity, and low phosphorus (P) availability to plants. The objective ... -
Assessment of the Current Trophic State and Water Quality of Lake Naivasha, Kenya Using Multivariate Techniques
(John Wiley & Sons, Ltd, 2022-12-01)Lake Naivasha is a tropical freshwater body in Kenya, providing a source of livelihoods to the surrounding communities. The lake ecosystem, however, has become degraded over time because of increasing pollutant loads ... -
Biogenic Synthesis of Gold Nanoparticles from Physalis peruviana and Application in Wound Healing
(2022-09-12)Wound management is key to healing. Poorly managed wounds lead to abnormal biological reactions and complications. Microorganisms, bacteria or fungi, infect such wounds leading to their chronic nature. Gold nanoparticles ... -
SARS-CoV-2 Detection in Fecal Samples in Sym-asymptotic Patients with Typical Findings of COVID-19 on Ag-RDT and SARS-CoV-2 RT-PCR Tests
(Preprints, 2022-09-28)Coronavirus is a disease caused by a severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) which emerged as a global pandemic in 2019 from Wuhan, China. Since its emergence, it has caused immense suffering to human ... -
Jump Diffusion Logistic Brownian Motion with Dividend Yielding Asset
(International Journal of Mathematics And its Applications, 2021)Jump diffusion processes have been used in modern finance to capture discontinuous behavior in asset pricing. Logistic Brownian motion for asset security prices shows that naturally asset security prices would not usually ... -
Completely Positive Map from M4(C) to M5(C) on Positive Semidefinite Matrices
(Journal of Mathematical Analysis and Modeling, 3/29/2022)Positive Maps Are Essential In the Description of Quantum Systems. However, Characterization Of The Structure Of The Set Of All Positive Maps Is A Challenge In Mathematics And Mathematical Physics. We Construct A Linear ...