Simulation Based Inference in Epidemic Models
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| Title: | Simulation Based Inference in Epidemic Models |
|---|---|
| Authors: | Dharmagadda, Tejitha |
| Summary: | From ancient times to the modern day, public health has been an area of great interest. Studies on the nature of disease epidemics began around 400 BC and has been a continuous area of study for the well-being of individuals around the world. For over 100 years, epidemiologists and mathematicians have developed numerous mathematical models to improve our understanding of infectious disease dynamics with an eye on controlling and preventing disease outbreak and spread. In this thesis, we discuss several types of mathematical compartmental models such as the SIR, and SIS models. To capture the noise inherent in the real-world, we consider stochastic versions of these models, and use two types of stochastic simulation algorithms to solve the models. The Gillespie algorithm is used for internal noise while the stochastic Euler algorithm is used for external noise. To improve our understanding of the dynamics, we employ statistical methods on the simulated data and compare with actual data. Treating the epidemic models as a partially observed Markov process (POMP) or hidden Markov model, we use inferential methods via particle filtering and iterated particle filtering to estimate the disease parameters. This simulation-based inference method is demonstrated using an example of influenza data obtained from an infection at an English boarding school. |
| URL: | https://digitalcommons.montclair.edu/etd/334 |
| Database: | OpenDissertations |
| FullText | Text: Availability: 0 |
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| Header | DbId: ddu DbLabel: OpenDissertations An: ddu.oai.digitalcommons.montclair.edu.etd.1334 AccessLevel: 6 PubType: Dissertation/ Thesis PubTypeId: dissertation PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Simulation Based Inference in Epidemic Models – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Dharmagadda%2C+Tejitha%22">Dharmagadda, Tejitha</searchLink> – Name: Abstract Label: Summary Group: Ab Data: From ancient times to the modern day, public health has been an area of great interest. Studies on the nature of disease epidemics began around 400 BC and has been a continuous area of study for the well-being of individuals around the world. For over 100 years, epidemiologists and mathematicians have developed numerous mathematical models to improve our understanding of infectious disease dynamics with an eye on controlling and preventing disease outbreak and spread. In this thesis, we discuss several types of mathematical compartmental models such as the SIR, and SIS models. To capture the noise inherent in the real-world, we consider stochastic versions of these models, and use two types of stochastic simulation algorithms to solve the models. The Gillespie algorithm is used for internal noise while the stochastic Euler algorithm is used for external noise. To improve our understanding of the dynamics, we employ statistical methods on the simulated data and compare with actual data. Treating the epidemic models as a partially observed Markov process (POMP) or hidden Markov model, we use inferential methods via particle filtering and iterated particle filtering to estimate the disease parameters. This simulation-based inference method is demonstrated using an example of influenza data obtained from an infection at an English boarding school. – Name: URL Label: URL Group: URL Data: <link linkTarget="URL" linkTerm="https://digitalcommons.montclair.edu/etd/334" linkWindow="_blank">https://digitalcommons.montclair.edu/etd/334</link> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ddu&AN=ddu.oai.digitalcommons.montclair.edu.etd.1334 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English Subjects: – SubjectFull: Applied Mathematics Type: general – SubjectFull: Statistics and Probability Type: general – SubjectFull: Diseases -- Mathematical models, Epidemiology -- Statistical methods Type: general Titles: – TitleFull: Simulation Based Inference in Epidemic Models Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Dharmagadda, Tejitha IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2020 |
| ResultId | 1 |
