A Stochastic Model for The Transmission Dynamics of Toxoplasma Gondii

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dc.contributor.authorGao, Guangyueen
dc.contributor.committeechairCao, Yangen
dc.contributor.committeememberSun, Shu-Mingen
dc.contributor.committeememberSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2017-06-13T19:43:58Zen
dc.date.adate2016-06-01en
dc.date.available2017-06-13T19:43:58Zen
dc.date.issued2016-05-05en
dc.date.rdate2016-06-01en
dc.date.sdate2016-05-11en
dc.description.abstractToxoplasma gondii (T. gondii) is an intracellular protozoan parasite. The parasite can infect all warm-blooded vertebrates. Up to 30% of the world's human population carry a Toxoplasma infection. However, the transmission dynamics of T. gondii has not been well understood, although a lot of mathematical models have been built. In this thesis, we adopt a complex life cycle model developed by Turner et al. and extend their work to include diffusion of hosts. Most of researches focus on the deterministic models. However, some scientists have reported that deterministic models sometimes are inaccurate or even inapplicable to describe reaction-diffusion systems, such as gene expression. In this case stochastic models might have qualitatively different properties than its deterministic limit. Consequently, the transmission pathways of T. gondii and potential control mechanisms are investigated by both deterministic and stochastic model by us. A stochastic algorithm due to Gillespie, based on the chemical master equation, is introduced. A compartment-based model and a Smoluchowski equation model are described to simulate the diffusion of hosts. The parameter analyses are conducted based on the reproduction number. The analyses based on the deterministic model are verified by stochastic simulation near the thresholds of the parameters.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05112016-210816en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05112016-210816/en
dc.identifier.urihttp://hdl.handle.net/10919/78106en
dc.language.isoen_USen
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectGillespie Algorithmen
dc.subjectToxoplasma Gondiien
dc.subjectFinite Difference Methoden
dc.subjectTransmission Dynamicsen
dc.subjectCompartment-Based Modelen
dc.subjectStochastic Simulationen
dc.titleA Stochastic Model for The Transmission Dynamics of Toxoplasma Gondiien
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineComputer Scienceen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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