Abstract
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.
Highlights
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
that there is a single point of smoker's endemic equilibrium
Summary
Rokok oleh sebagian orang sudah menjadi kebutuhan hidup yang tidak bisa ditinggalkan dalam kehidupan sehari-hari (Haris, 2012). (2014), mengkaji sistem dinamika model matematika pencegahan pertambahan perokok dengan mengelompokkan populasi menjadi empat kelompok, yaitu P(t): Kelompok individu yang potensial menjadi perokok, S(t): Kelompok individu yang merokok aktif, Qt(t): Kelompok individu perokok temporer, dan Qp(t): Kelompok individu yang permanen berhenti merokok. Dkk (2013) dalam jurnal yang berjudul “Model Matematika Pertambahan Jumlah Perokok dengan Penerapan Denda” mengelompokkan populasi dalam tiga kelas yaitu: P (Potensial Perokok), S (Individu Perokok) dan Q (Populasi Berhenti Merokok). (2013) dalam jurnalnya yang berjudul “Analisis Model Matematika Jumlah Perokok dengan Dinamika Akar Kuadrat”. Soleh & Sazmita (2017) mengkaji model matematika jumlah perokok dengan dinamika akar kuadrat dan faktor migrasi. Tujuan dilakukan penelitian ini adalah untuk mengetahui bentuk kesetimbangan model matematika pengaruh kenaikan harga rokok dengan dinamika akar kuadrat dan perilaku populasi perokok melalui simulasi numerik
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