Open AccessANALISIS KESTABILAN MODEL MATEMATIKA JUMLAH PEROKOK PENGARUH KENAIKAN HARGA ROKOK DENGAN DINAMIKA AKAR KUADRAT
Author(s) -
Fidelis Nofertinus Zai,
Aryl Zuldaus Sembiring,
Ardinal Vanbasten,
Anggi Novita Nasution,
Lasker Pangarapan Sinaga
Publication year - 2020
Publication title -
e-jurnal matematika
Language(s) - English
Resource type - Journals
ISSN - 2303-1751
DOI - 10.24843/mtk.2020.v09.i04.p310
Subject(s) - consumption (sociology) , population , equilibrium point , mathematics , biology , demography , medicine , environmental health , mathematical analysis , sociology , social science , differential equation
Consumption of cigarettes in large quantities by the public is one of the main concerns in every country because cigarettes contain harmful ingredients that can trigger various diseases. This journal will explain the mathematical model of the number of smokers affected by rising prices of cigarettes with square root dynamics. The population is divided into four, composed of potential smokers, occasionally smokers, heavy smokers, and ex-smokers. The results of the model analysis are that there is a single point of smoker’s endemic equilibrium. If conditions are met, then the endemic equilibrium point of smokers will be asymptotically stable, and over a long period of time there will always be a spread of smokers.