Analisis Dinamik Model Matematika Pengguna Snapchat

Amaliy, Razieq Ilham (2020) Analisis Dinamik Model Matematika Pengguna Snapchat. Sarjana thesis, Universitas Brawijaya.

Abstract

Pada skripsi ini dibahas konstruksi dan analisis dinamik model matematika pengguna Snapchat. Model ini berbentuk sistem persamaan diferensial nonlinear. Analisis dinamik yang dilakukan pada model ini meliputi penentuan titik kesetimbangan, penentuan angka reproduksi dasar (ℛ

English Abstract

This final project discusses the construction and dynamical analysis of mathematical model of Snapchat. This model is a system of nonlinear differential equations. Dynamical analysis is performed by finding the equilibrium points and theirs locally stability properties. The basic reproduction number (ℛ0) is also derived. Dynamical analysis shows that there are three equilibrium points, namely the free-user of Snapchat equilibrium, the persistent user equlibrium, and the endemic equilibrium. The free-user equilibrium is locally asymtotically stable when satisfies ℛ0 < 1 and another condition; the persistent user equlibrium is locally asymtotically stable when satisfies ℛ0 > 1 and another condition. The endemic equilibrium is locally asymtotically stable when satisfies the Routh-Hurwitz Criterion. Numerical simulation supports the results of dynamical analysis.

Other obstract

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Item Type:	Thesis (Sarjana)
Identification Number:	0520090211
Uncontrolled Keywords:	kestabilan, Snapchat, angka reproduksi dasar.
Subjects:	500 Natural sciences and mathematics > 515 Analysis > 515.3 Differential calculus and equations > 515.39 Dynamical systems
Divisions:	Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User:	ismanto
Date Deposited:	16 Feb 2021 23:58
Last Modified:	13 Apr 2023 03:14
URI:	http://repository.ub.ac.id/id/eprint/183140

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