Cyclic Dynamics Caused by Antigenic Drift

Zhang, Rui

Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/21140

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DC Field	Value	Language
dc.contributor.advisor	Earn, David J.D.	-
dc.contributor.advisor	Ma, Junling	-
dc.contributor.author	Zhang, Rui	-
dc.date.accessioned	2017-02-22T18:44:03Z	-
dc.date.available	2017-02-22T18:44:03Z	-
dc.date.issued	2005-08	-
dc.identifier.uri	http://hdl.handle.net/11375/21140	-
dc.description.abstract	<p> Traditionally, seasonal forcing has been considered to be the major cause of the influenza seasonality. However, Andreasen [2003] showed that repetitive introductions of new strains can lead to cyclic dynamics. The cyclic dynamic produced by his model is not seasonal, because the length of seasons cannot be defined in his model. In this report, we develop a model that combines a stochastic mutation process with a two-strain competition process governing the spread of the mutant strain. This model can produce stable seasonal dynamics. If we introduce a small seasonal forcing to the transmission rate, the length of a season can be regulated to one year if the unforced system oscillates with a period close to one year. If the system has a period that is far from one year, then the forced system may behave chaotically.</p>	en_US
dc.language.iso	en_US	en_US
dc.subject	cyclic dynamics, antigenic drift, strains, seasonal, stochastic mutation process	en_US
dc.title	Cyclic Dynamics Caused by Antigenic Drift	en_US
dc.type	Thesis	en_US
dc.contributor.department	Mathematics	en_US
dc.description.degreetype	Thesis	en_US
dc.description.degree	Master of Science (MSc)	en_US
Appears in Collections:	Digitized Open Access Dissertations and Theses

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