A Deterministic Model of Miraa addiction with voluntary quitting component (Record no. 86635)

MARC details
000 -LEADER
fixed length control field 02024nam a22001817a 4500
003 - CONTROL NUMBER IDENTIFIER
control field KE-MeUCS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240503123817.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190403b xxu||||| |||| 00| 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency lcc
Transcribing agency KE-MeUCS
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number RC533.M8 2019
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Mutuura, Makembo G.
245 ## - TITLE STATEMENT
Title A Deterministic Model of Miraa addiction with voluntary quitting component
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Meru:
Name of publisher, distributor, etc Meru University of Science and Technology,
Date of publication, distribution, etc 2019.
300 ## - PHYSICAL DESCRIPTION
Extent xii,45p.
Other physical details :ill.;
Dimensions 29cm.
500 ## - GENERAL NOTE
General note Includes bibliographical references
520 ## - SUMMARY, ETC.
Summary, etc This study is a deterministic model of Miraa addiction based on three compartmental classes incorporating Miraa specific attributes as well as the aspect of voluntary quitting. The model was based on SIS classical infectious model classes with Susceptible and Infected adopted as Light user and Addicted class. From the model flow chart, nonlinear differential equations are deduced. The basic reproduction number(R) was determined using next generation method. Positivity and boundedness of the solution was investigated and the system of equations was found to lie in the feasible region. Miraa equilibrium points were determined and the condition necessary for the existence of Miraa persistent equilibrium point was found to be Ro> 1. The conditions necessary for both local and global asymptotic stability of equilibrium points were determined. Sensitivity analysis of the Rowas investigated using partial differentiation and then confirmed using normalized sensitivity analysis. Simulations were carried out using MATLAB ODE 45 inbuilt solver. Sensitivity analysis results revealed that the Ro was directly proportional to the rate of quitting from addict to light user but inversely proportional to the rate of quitting from light user to susceptible. Therefore, the rate of individuals moving from light user class to susceptible classes has higher impact on reducing the burden of Miraa addiction than the rate of individuals moving from addict to light-user
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Thesis
Cataloguer Mercy Musungu
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Library of Congress Classification     Meru University Meru University Open Shelves 03/04/2019   RC533 .M8 2019 19-32545 03/04/2019 03/04/2019 Thesis


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