APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL

APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL

In this final project, we shall deal with the application of stochastic differential equation with delay to the epidemic SIS model. We derive the stochastic model from the deterministic model by considering the probability of all possibles changing in the population. Since the infected population ne...

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Main Author: TUSTIANA (NIM :10108030 ); Pembimbing : Dr. Agus Yodi Gunawan, VITA
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/17513
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:17513
spelling id-itb.:175132017-09-27T11:42:59ZAPPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL TUSTIANA (NIM :10108030 ); Pembimbing : Dr. Agus Yodi Gunawan, VITA Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/17513 In this final project, we shall deal with the application of stochastic differential equation with delay to the epidemic SIS model. We derive the stochastic model from the deterministic model by considering the probability of all possibles changing in the population. Since the infected population needs time to recover, we also include the time-delay into the model. We end up with the numerical simulation for the stochastic and delay model. Results show that the time-delay play an important role in determining the behavior of the solution : oscillatory or non-oscillatory. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description In this final project, we shall deal with the application of stochastic differential equation with delay to the epidemic SIS model. We derive the stochastic model from the deterministic model by considering the probability of all possibles changing in the population. Since the infected population needs time to recover, we also include the time-delay into the model. We end up with the numerical simulation for the stochastic and delay model. Results show that the time-delay play an important role in determining the behavior of the solution : oscillatory or non-oscillatory.
format Final Project
author TUSTIANA (NIM :10108030 ); Pembimbing : Dr. Agus Yodi Gunawan, VITA
spellingShingle TUSTIANA (NIM :10108030 ); Pembimbing : Dr. Agus Yodi Gunawan, VITA
APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL
author_facet TUSTIANA (NIM :10108030 ); Pembimbing : Dr. Agus Yodi Gunawan, VITA
author_sort TUSTIANA (NIM :10108030 ); Pembimbing : Dr. Agus Yodi Gunawan, VITA
title APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL
title_short APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL
title_full APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL
title_fullStr APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL
title_full_unstemmed APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATION WITH TIME-DELAY FOR EPIDEMIC SIS MODEL
title_sort application of stochastic differential equation with time-delay for epidemic sis model
url https://digilib.itb.ac.id/gdl/view/17513
_version_ 1820745623063756800

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