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A COVID-19 SEIR model for people living with underlying medical conditions in Kenya
(nternational Journal of Statistics and Applied Mathematics, 2024-08-19) Iyaya CC Wanjala; George M Mocheche; Sitawa Wattanga
In this study we propose a modified SEIR mathematical transmission model with a focus on Kenyans living with underlying medical conditions. The research will rely on reported data from the Kenya Government’s Ministry of Health to fit the model parameters. The next generation matrix approach is employed to ascertain the level of infection or the stability condition of infection based on the basic reproduction number R that the model will determine. Results obtained will give predictions on the impact of the disease on the impact on impact of the disease on this group of people which will inform government in relation to prioritization of vaccination and other mitigating measures on policy formulation.
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Reproducing Kernel for the Classical Dirichlet Space of the Upper Half Plane
(2024-08-19) Irene S.Wattanga; James M.Wanjiru; Job O Bonyob
We determine the reproducing kernel for the classical Dirichlet space of the upper half plane, . Consequently, we establish the norm of the reproducing kernel and growth condition for functions in . Moreover, we extend the existing relationship between the reproducing kernels for the classical Dirichlet space and Bergman space of the unit disk to their counterparts of the upper half plane.
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Accessibility of Technical And Vocational Training Among Disabled People: Survey Of TVET Institutions In North Rift Region, Kenya
(2024-07-16) Titus Kiptoo Murgo; John Kosgei Changa’ch; Julius Kipkogei Keter
People with disabilities face particular challenges in education and training. Most of them are deprived of access
to basic literacy and numeracy skills. They also face barriers that affect access to Technical Vocational Education
and Training (TVET) institutions some of them arising from the surrounding socio-economic environment and
from mainstream TVET institutions. The main purpose of this paper was to assess barriers to accessibility of
TVET institutions by disabled people in Kenya. The study was carried out in the North Rift Region of Kenya.
The target population of the study consisted of the lectures and students with disabilities in 5 public TVET
Institutions. Semi Structured Questionnaires were used as the main instruments for data collection. Data
collected was analyzed using descriptive statistics and inferential statistics with the aid of SPSS IBM version 20.
One of the most striking findings was that disabled students in TVET institutions are discriminated and isolated.
Findings also indicated that the disabled students cannot access some of the school buildings; they are also
barred from enrolling in TVET due to policies that provide cut off point marks or entry behavior to courses they
desire to enroll in. It was also found that teachers had positive attitude toward the disabled students, contrary to
the fact that students considered teachers to be unfriendly to them. Therefore, the paper recommended that skills
training and instructional mechanisms must consider specific needs of youth with different types of disabilities
before putting them together in regular class. Better coordination between the government and service providers
could anticipate and mitigate this barrier. There is also the need for specialized training institutions to be
upgraded and
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Characteristic functions of some contraction operators
(International Journal of Statistics and Applied Mathematics 2024;, 2024-05-15) BM Nzimbi; BN Kiratu; SW Luketero
In this paper, we characterize some contraction operators in terms of their Sz.-Nagy-Foias model
characteristic functions and their associated Toeplitz operators.
2010 Mathematics Subject Classification: Primary 47A05,47A11; Secondary 47B20,47A65.
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REMARKS ON THE MURRAY-VON NEUMANN EQUIVALENCE OF PROJECTIONS
(In this paper, we characterize Murray-von Neumann equivalent projec- tions. We also investigate and compare the relationship between the Murray- von Neumann relation and other equivalence relations on the set P(B(H)) of orthogonal projections in the von Neumann algebra B(H)., 2024-02-19) B. M. Nzimbi; B.N. Kiratu; I.N. Sitati; S. Towet
In this paper, we characterize Murray-von Neumann equivalent projec-
tions. We also investigate and compare the relationship between the Murray-
von Neumann relation and other equivalence relations on the set P(B(H)) of
orthogonal projections in the von Neumann algebra B(H).