Model Matematika Pengaruh Lingkungan Terhadap Bertambahnya Pengkonsumsi Alkohol

Bayu Putra - Jurusan Matematika Universitas Negeri Padang
Media Rosha - Jurusan Matematika Universitas Negeri Padang
Dewi Murni - Jurusan Matematika Universitas Negeri Padang

Abstract


Abstract In this article discussed the mathematical model increacing influence of environment on consuming alcohol. This research was started by forming mathematical model increacing influence of environment on consuming alcohol in the of  non-linear differential equations system. From the analysis mathematical model increacing influence of environment on consuming alcohol, there are two types of equilibrium point. Free equilibrium point of consuming alcohol and equilibrium point of consuming alcohol. Terms existence and stability of the equilibrium point is determined by the basic reproduction number. By analyzing the model, obtained the stability of each equilibrium points

Keywords – Mathematical Model, Alcohol, Equilibrium, Stability, Basic Reproductive Number


Full Text:

PDF

References


Blyuss KB, Kyrichko YN. 2005. On a Basic Model of a Two-disease Epidemic. New York: Elsevier applied Mathematics and computation.

Cain, John W., dan Reynold, Angela M. Ordinary and Partial Differential Equation: An Introduction to Dynamical System: Virginia Commonwealth University

Carole, Wade and Carol, Tavis. 2002. Psychology. Jakarta: Erlangga.

Davison, Gerald C., Neale, John M. and Kring, Ann M. 2006. Psikologi Abnormal. Jakarta: P.T Raja Grafindo Persada.

Johnson, Kohler. 2006. Elementary Differential Equations with Boundary Value Problems. New York: Greg Tobin.

Kurnia, P. Bayu. 2016. Model Matematika Pengaruh Lingkungan Terhadap Bertambahnya Pengkonsumsi Alkohol. Padang: UNP.

Widowati dan Sutimin. 2007. Buku Ajaran Pemodelan Matematika. Semarang: Universitas Diponegoro.




DOI: http://dx.doi.org/10.24036/unpjomath.v6i1.11545