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Details for article 13 of 14 found articles
| Title: |
The basic reproduction number in some discrete-time epidemic models |
| Author: |
Allen, Linda J. S. van den Driessche, P. |
| Appeared in: |
Journal of difference equations and applications |
| Paging: | Volume 14 (2008) nr. 10-11 pages 1127-1147 |
| Year: |
2008-10 |
| Contents: |
The next generation matrix approach for calculating the basic reproduction number [image omitted] is summarized for discrete-time epidemic models. This approach is applied to six disease models developed for the study of two emerging wildlife diseases: hantavirus in rodents and chytridiomycosis in amphibians. Two of the models include discrete spatial patches. For each model, [image omitted] is calculated in terms of the model parameters. For [image omitted] , if a small number of infectives is introduced, then the wildlife disease dies out. Global stability of the disease-free equilibrium is verified for a special case of the SI hantavirus model when [image omitted] . In addition, a numerical example indicates that there is a transcritical bifurcation at [image omitted] , with the disease dying out if [image omitted] but tending to an endemic level if [image omitted] . |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 13 of 14 found articles
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