Mathematical modelling of the impacts of screening and non-clinical strategies in combating Covid 19 transmission in Kenya/ (Record no. 88545)

MARC details
000 -LEADER
fixed length control field 03441nam a22001937a 4500
003 - CONTROL NUMBER IDENTIFIER
control field KE-MeUCS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240508104949.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240411b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 000000
040 ## - CATALOGING SOURCE
Transcribing agency KE-MeUCS
Modifying agency KE-MeUCS
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA401.A39 2023
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Akwalu Ezra Kimathi
245 ## - TITLE STATEMENT
Title Mathematical modelling of the impacts of screening and non-clinical strategies in combating Covid 19 transmission in Kenya/
Statement of responsibility, etc Ezra Kimathi Akwalu
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Meru
Name of publisher, distributor, etc Ezra Kimathi Akwalu
Date of publication, distribution, etc 2023
300 ## - PHYSICAL DESCRIPTION
Extent x, 87p
500 ## - GENERAL NOTE
General note A thesis submitted in partial fulfillment of the requirements for conferment of the Degree of Master of Science in Applied Mathematics of Meru University of Science and Technology
520 ## - SUMMARY, ETC.
Summary, etc COVID-19 is a serious problem in Kenya. It has put an unprecedented burden on the worldwide economy and public health. The rapid spread of COVID-19 has been driven predominantly by aerosol transmissions. We modeled the impacts of screening and non-clinical strategies like use of facemask, hand washing and social distancing on COVID-19 transmission in Kenya. The general objective of the study was to develop and analyze a deterministic mathematical model to show the effects of screening and non-clinical strategies in combating the spread of the COVID-19 in Kenya. The specific objectives of this study were to formulate mathematical models on the spread of coronavirus disease 2019, carry out the model analysis to determine the positivity, boundedness, equilibrium points, local stability, global stabilities, sensitivity and bifurcation analysis of the model and finally use numerical simulations to determine the effects of screening and non- clinical strategies on the spread of COVID-19 in Kenya. The Mathematical model was *based on SIRS epidemiological classical model. In developing the model, the population was divided into six human compartments; Susceptible, Exposed, Infected, Isolated in the hospital, Isolated at home, and Recovered. <br/>The basic reproduction number was determined using Next Generation Method. The model was analyzed through the determination of the model's steady states. The stabilities of steady states were analyzed based on reproduction number using: signs of Jacobi Matrix evaluated at steady state, Lyapunov Criteria, Centre Manifold theorem, Metzler matrix, and Routh-Hurwitz. Numerical simulations were carried out using MATLAB's inbuilt ODE solver based on Runge Kutta Method. Sensitivity analysis of the model parameters was carried out using partial differentiation of the reproduction number and also using Normalized sensitivity analysis. From this analysis, findings showed that adherence to containment measures had great negative impact on the reproduction number. When a single strategy was simulated, it was found to reduce the number of daily reported cases but the impact was little compared to when the measures were * combined. It was found through simulation that adherence to the COVID-19 containment measures by the population would reduce the reproduction number to below 1 hence containing the pademic. No single strategy has the effect of containing the pandemic alone. The findings of this study show that the combined strategies like screening, hand washing, facemask and social distancing must be used collectively to contain the spread of COVID-19 in Kenya. We recommended strict adherence to containment measures.<br/>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Thesis
Cataloguer Intern
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Cataloger Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Library of Congress Classification     Meru University Meru University Periodical Section 11/04/2024 - 0.00 Intern   QA401.A39 2023 24-37880 11/04/2024 11/04/2024 Thesis

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