dc.contributor.author Nyamai, Amos Mwendwa dc.contributor.author Mutuku, Winifred N. dc.date.accessioned 2021-05-11T06:36:26Z dc.date.available 2021-05-11T06:36:26Z dc.date.issued 2021 dc.identifier.citation Nyamai, A. M., & Mutuku, W. N. (2021). Modeling the Effect of Inpatient Rehabilitation of Tobacco Smokers on Smoking Dynamics. Journal of Advances in Mathematics and Computer Science, 1-14. en_US dc.identifier.uri http://ir-library.ku.ac.ke/handle/123456789/22117 dc.description An Article Published in Journal of Advances in Mathematics and Computer Science en_US dc.description.abstract Aims: en_US 1. Develop and analyze a mathematical model of the effect of inpatient rehabilitation of tobacco smokers on tobacco smoking using Kenya as a case study. 2. Perform stability analysis on the smoking free equilibrium point and endemic equilibrium point of the model. 3. Use numerical simulation to investigate the impact of inpatient rehabilitation of tobacco smokers on smoking. Place and Duration of Study: Department of Mathematics and Actuarial Science, School of Pure and Applied Sciences (SPAS), Kenyatta University, Kenya, between May 2019 and September 2020. Tobacco smoking is a serious burden in Kenya and the world at large. Smoking harms nearly every organ of the body and affects the overall health of a person. Despite the overwhelming facts about the consequences of tobacco smoking, it remains a bad wont which is socially accepted and widely spread. In this research we numerically analyze the dynamics of smoking incorporating the impact of inpatient rehabilitation to curb the smoking habit. We first present a three-compartment model incorporating inpatient rehabilitation, then develop the system of ordinary differential equations governing the smoking dynamics. The basic reproduction number is determined using next generation matrix method. The model equilibria were computed and the stability analysis carried out. The results of stability analysis indicate that the disease-free equilibrium (DFE) is both locally and globally asymptotically stable for RS < 1 while the endemic equilibrium is both locally and globally asymptotically stable for RS > 1. Numerical simulations of model carried out with the help of MATLAB shows that, when rehabilitation is implemented effectively, it helps in minimization of smoking in the community dc.language.iso en en_US dc.publisher Journal of Advances in Mathematics and Computer Science en_US dc.subject Tobacco smoking en_US dc.subject Inpatient rehabilitation en_US dc.subject Reproduction number en_US dc.subject Numerical simulation en_US dc.title Modeling the Effect of Inpatient Rehabilitation of Tobacco Smokers on Smoking Dynamics en_US dc.type Article en_US
﻿