Kajian Kestabilan Model PLHR1R2 pada Penyebaran Perilaku Merokok dengan Metode Lyapunov

Abstract

This research aims to investigate the stability of the spread of smoking behavior model using Lyapunov method analyzed through Lyapunov functions. This study assumes that individuals who have quit smoking can replase at certain times and can quit permanently. The parameter values used in this research are several other journals. The reproduction number is formed using The Next Generation Matrix. Subsequently, numerical simulation conducted by substituting parameter values in model and one of them is psychological therapy parameters, resulting in a R0<1 indicating no spread of smoking behavior and it found that the role of physichological therapy was quite significant. Furthermore, using the Lyapunov method, a Lyapunov fuction is obtained with an asympotically stable equilibrium point.