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A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes


Abstract Rabies is an infectious viral disease. It is usually fatal if a victim reaches the rabid stage, which starts after the appearance of disease symptoms. The disease virus attacks the central nervous system, and then it migrates from peripheral nerves to the spinal cord and brain. At the time when the rabies virus reaches the brain, the incubation period is over and the symptoms of clinical disease appear on the victim. From the brain, the virus travels via nerves to the salivary glands and saliva.

A mathematical model is developed for the spread of rabies in a spatially distributed fox population to model the spread of the rabies epizootic through middle Europe that occurred in the second half of the 20th century. The model considers both t... (more)
Created Date 2018
Contributor Alanazi, Khalaf Matar (Author) / Thieme, Horst R. (Advisor) / Jackiewicz, Zdzislaw (Committee member) / Baer, Steven (Committee member) / Gardner, Carl (Committee member) / Kuang, Yang (Committee member) / Smith, Hal (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics / Mathematics / basic reproduction number / continuous Runge-Kutta method / Cumulative infectious force / diffusing versus territorial rabid foxes / latent period / spreading speed
Type Doctoral Dissertation
Extent 206 pages
Language English
Copyright
Note Doctoral Dissertation Applied Mathematics 2018
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis