Date of Award
1999
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Wille, Luc T.
Abstract
The Susceptible-Exposed-Infected-Recovered-Susceptible (SEIRS) spatial epidemic model is governed by non-linear equations with several parameters related to birth and death, contact rate, disease latency, infectious period, and recycle rate. Both continuum results and lattice results show the existing of disease persistence and critical density. The upper limit of birth and death rate is observed, power spectrum with 1/f profile is discussed. Some other models, as limiting cases of the SEIRS model, are also studied. Lower limit of birth and death rate for the models without recycle rate has also obtained. Finally two general rules governing epidemic models are summarized. Visualization is available on our web site http://www.cse.fau.edu/~lmei/simulation.html
Extent
109 p.
Recommended Citation
Mei, Lei, "Spatio-temporal dynamics in the SEIRS epidemic model" (1999). Electronic Theses and Dissertations 1990 - 1999. 1529.
https://digitalcommons.fau.edu/etd_general_4/1529
Identifier
FADT15633
Comments
Thesis (M.S.)--Florida Atlantic University, 1999.|Thesis (M.S.)--Florida Atlantic University, 1999.