Analisis Dinamik Model Penyebaran Patogen Waterborne Dengan Pengaruh Pencemaran Lingkungan

Kesuma, Lailia Anugerah (2020) Analisis Dinamik Model Penyebaran Patogen Waterborne Dengan Pengaruh Pencemaran Lingkungan. Sarjana thesis, Universitas Brawijaya.

Abstract

Pada skripsi ini dibahas konstruksi dan analisis dinamik model penyebaran patogen waterborne dengan pengaruh pencemaran lingkungan. Pada model ini, dilakukan analisis dinamik yang meliputi penentuan titik kesetimbangan, penentuan angka reproduksi dasar

English Abstract

This final project discusses the construction and dynamical analysis of a waterborne pathogen model under the influence of environmental pollution. In this model, dynamical analysis is conducted to determine the equilibrium points, basic reproduction number R0, and stability analysis of the equilibrium points. The dynamical analysis result shows that the waterborne pathogen model under the influence of environmental pollution has two equilibrium points namely the disease-free equilibrium point and endemic equilibrium point. The disease-free equilibrium point always exists and is locally asymptotically stable if R0<1. Furthermore, an endemic equilibrium point exists if it meets certain conditions and is locally asymptotically stable if it meets the Routh-Hurwitz criteria. The numerical simulations are conducted to support the dynamical analysis results.

Other obstract

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Item Type: Thesis (Sarjana)
Identification Number: 0520090003
Uncontrolled Keywords: patogen, waterborne disease, pencemaran lingkungan, angka reproduksi dasar, titik kesetimbangan, analisis kestabilan lokal.
Subjects: 500 Natural sciences and mathematics > 518 Numerical analysis
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: ismanto
Date Deposited: 02 Feb 2021 07:19
Last Modified: 06 Jul 2022 06:48
URI: http://repository.ub.ac.id/id/eprint/181967
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