Title

Stability analysis of a modified smoking model

Date of Publication

2016

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with specialization in Business Applications

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Adviser

Jose Tristan F. Reyes

Abstract/Summary

This paper studies the dynamics of a mathematical smoking model. We first introduce a smoking model which is a simplified version of the model presented in [2]. In this model, we divided the population into four sub-populations: non-smokers or potential smokers, occasional smokers, heavy smokers, and quitters. We study the stability of the equilibrium points of the model. Numerical simulations are also conducted to support our results. The analysis tells that whenever the smoking generation number is less than 1, the smoking-free equilibrium is stable. This indicates that the number of smokers will be controlled at steady-state, or even eliminated given that the smoking generation number is less than 1.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTU020965

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

1 computer disc ; 4 3/4 in.

Keywords

Smoking--Mathematics

Embargo Period

5-11-2021

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