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Population dynamics in spatially explicit lattice epidemic models
- Date Issued:
- 1997
- Summary:
- Presented is a computational implementation simulating the propagation of an infectious disease through a host population extended over a 2-dimensional square lattice. The model incorporates the effects of spatial distribution allowing for an analysis of the persistence and dynamics of the disease. Computational issues are discussed along with the results of the simulations. The simulations show that there is a threshold or critical population density. Below the critical density the disease dies out and above it, the disease persists endemically. Population mixing affects the disease's ability to persist and, hence, the critical density. Higher degrees of mixing improve a disease's ability to persist. The model is then studied analytically in the mean-field point approximation limit. Higher mean-field approximations, which better account for the spatial inhomogeneities of the spatially discrete computational model, are also considered.
Title: | Population dynamics in spatially explicit lattice epidemic models. |
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Name(s): |
St. John, Shane C. Florida Atlantic University, Degree grantor Wille, Luc T., Thesis advisor |
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Type of Resource: | text | |
Genre: | Electronic Thesis Or Dissertation | |
Issuance: | monographic | |
Date Issued: | 1997 | |
Publisher: | Florida Atlantic University | |
Place of Publication: | Boca Raton, Fla. | |
Physical Form: | application/pdf | |
Extent: | 97 p. | |
Language(s): | English | |
Summary: | Presented is a computational implementation simulating the propagation of an infectious disease through a host population extended over a 2-dimensional square lattice. The model incorporates the effects of spatial distribution allowing for an analysis of the persistence and dynamics of the disease. Computational issues are discussed along with the results of the simulations. The simulations show that there is a threshold or critical population density. Below the critical density the disease dies out and above it, the disease persists endemically. Population mixing affects the disease's ability to persist and, hence, the critical density. Higher degrees of mixing improve a disease's ability to persist. The model is then studied analytically in the mean-field point approximation limit. Higher mean-field approximations, which better account for the spatial inhomogeneities of the spatially discrete computational model, are also considered. | |
Identifier: | 9780591437249 (isbn), 15419 (digitool), FADT15419 (IID), fau:12186 (fedora) | |
Collection: | FAU Electronic Theses and Dissertations Collection | |
Note(s): |
Thesis (M.S.)--Florida Atlantic University, 1997. Charles E. Schmidt College of Science |
|
Subject(s): |
Epidemics--Computer simulation Population density Population |
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Held by: | Florida Atlantic University Libraries | |
Persistent Link to This Record: | http://purl.flvc.org/fcla/dt/15419 | |
Sublocation: | Digital Library | |
Use and Reproduction: | Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder. | |
Use and Reproduction: | http://rightsstatements.org/vocab/InC/1.0/ | |
Host Institution: | FAU | |
Is Part of Series: | Florida Atlantic University Digital Library Collections. |