Epidemic theory: Studying the effective and basic reproduction numbers, epidemic thresholds and techniques for the analysis of infectious diseases with particular emphasis on tuberculosis

Bhadauria, AS; Dhungana, HN

Epidemic theory: Studying the effective and basic reproduction numbers, epidemic thresholds and techniques for the analysis of infectious diseases with particular emphasis on tuberculosis

Bhadauria, AS Dhungana, HN

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Publisher:: Elsevier
Publication Type:: Chapter
Citation:: Methods of Mathematical Modeling: Infectious Diseases, 2022, pp. 1-21
Issue Date:: 2022

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Field	Value	Language
dc.contributor.author	Bhadauria, AS
dc.contributor.author	Dhungana, HN
dc.date.accessioned	2023-04-12T20:24:02Z
dc.date.available	2023-04-12T20:24:02Z
dc.date.issued	2022
dc.identifier.citation	Methods of Mathematical Modeling: Infectious Diseases, 2022, pp. 1-21
dc.identifier.isbn	978-0-323-99888-8
dc.identifier.uri	http://hdl.handle.net/10453/169654
dc.description.abstract	Basic reproduction number (BRN) plays a significant role in studying communicable diseases in the starting phase of an epidemic. However, when the disease spreads in the population, the effective reproduction number replaces it taking the primary role in the study of disease dynamics. This book deals with the significance of basic and effective reproduction numbers in the study of communicable diseases, their threshold behavior, and different approaches to determine them in a mathematical model. Starting with the history of mathematical epidemiology and determination of BRN using deterministic and stochastic approaches, this chapter presents a brief introduction of all the terms required to be aware of while studying BRN such as herd immunity, epidemic curve, index cases, primary cases, generation time, and serial interval. This chapter also covers the scope of exception reporting, clusters, and study of BRN using epidemic curve and serial interval distribution. The next-generation matrix (NGM) method to determine BRN is discussed in detail. In addition, a mathematical model on multidrug-resistant tuberculosis (MDR-TB) has been formulated and its BRN is determined by the NGM approach. A brief review of BRN for tuberculosis (TB) disease is also given in the chapter to emphasize the role of studying BRN in its control.
dc.format.extent	11
dc.language	en
dc.publisher	Elsevier
dc.relation.ispartof	Methods of Mathematical Modeling: Infectious Diseases
dc.relation.isbasedon	10.1016/b978-0-323-99888-8.00008-5
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Epidemic theory: Studying the effective and basic reproduction numbers, epidemic thresholds and techniques for the analysis of infectious diseases with particular emphasis on tuberculosis
dc.type	Chapter
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2023-04-12T20:24:00Z
pubs.place-of-publication	The Nethlerlands
pubs.publication-status	Published
dc.location	The Nethlerlands

Abstract:

Basic reproduction number (BRN) plays a significant role in studying communicable diseases in the starting phase of an epidemic. However, when the disease spreads in the population, the effective reproduction number replaces it taking the primary role in the study of disease dynamics. This book deals with the significance of basic and effective reproduction numbers in the study of communicable diseases, their threshold behavior, and different approaches to determine them in a mathematical model. Starting with the history of mathematical epidemiology and determination of BRN using deterministic and stochastic approaches, this chapter presents a brief introduction of all the terms required to be aware of while studying BRN such as herd immunity, epidemic curve, index cases, primary cases, generation time, and serial interval. This chapter also covers the scope of exception reporting, clusters, and study of BRN using epidemic curve and serial interval distribution. The next-generation matrix (NGM) method to determine BRN is discussed in detail. In addition, a mathematical model on multidrug-resistant tuberculosis (MDR-TB) has been formulated and its BRN is determined by the NGM approach. A brief review of BRN for tuberculosis (TB) disease is also given in the chapter to emphasize the role of studying BRN in its control.

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http://hdl.handle.net/10453/169654