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Model Matematika Jumlah Perokok yang Dipengaruhi Faktor Migrasi dengan Dinamika Akar Kuadrat pada Kondisi Relapse Tria Agus Krisan; Media Rosha
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (701.159 KB) | DOI: 10.24036/unpjomath.v5i4.11116

Abstract

Abstract—Smoking is a habit that some people likes, but it causes health, economic, social, andenvironmental burdens not only for smokers but also for others. This study describes a mathematical model of the number of smokers which is influenced by the distribution factor of smokers using the dynamics of the square root in the relapse condition. The population was divided into three subpopulations, namely potential smokers, light smokers and heavy smokers. Based on the results of model analysis, it was found that one endemic equilibrium point of smokers was stable. Environmental influences make there always interactions between potential smokers and light smokers so that there are always smokers. The smaller the interaction between potential smokers and light smokers, the smaller the number of light smokers and heavy smokers. Keywords—Mathematical Model, Smoker Population,Asymptotically Stable, Equilibrium Point.
Mathematical Model of the Number of Smokers Influenced by Migration Factors with Quadratic Root Dynamics in Relapse Conditions Tria Agus Krisan; Media Rosha
Rangkiang Mathematics Journal Vol. 1 No. 1 (2022): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (637.091 KB) | DOI: 10.24036/rmj.v1i1.5

Abstract

Smoking is a habit that some people likes, but it causes health, economic, social, and environmental burdens not only for smokers but also for others. This study describes a mathematical model of the number of smokers which is influenced by the distribution factor of smokers using the dynamics of the square root in the relapse condition. The population was divided into three subpopulations, namely potential smokers, light smokers and heavy smokers. Based on the results of model analysis, it was found that one endemic equilibrium point of smokers was stable. Environmental influences make there always interactions between potential smokers and light smokers so that there are always smokers. The smaller the interaction between potential smokers and light smokers, the smaller the number of light smokers and heavy smokers.