| dc.contributor.author | Mutuura, Makembo George | |
| dc.date.accessioned | 2024-05-03T06:59:58Z | |
| dc.date.available | 2024-05-03T06:59:58Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | A Thesis submitted in partial fulfillment of the requirement for the conferment of Master`s Degree of Science in Applied Mathematics of Meru University of Science and Technology | en_US |
| dc.identifier.uri | http://repository.must.ac.ke/handle/123456789/1075 | |
| dc.description.abstract | 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 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Meru University of Science and Technology | en_US |
| dc.subject | Miraa Addition | en_US |
| dc.title | A Deterministic Model of Miraa addiction with voluntary quitting component | en_US |
| dc.type | Thesis | en_US |
