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| Titel: |
The basic reproduction number in some discrete-time epidemic models |
| Auteur: |
Allen, Linda J. S. van den Driessche, P. |
| Verschenen in: |
Journal of difference equations and applications |
| Paginering: | Jaargang 14 (2008) nr. 10-11 pagina's 1127-1147 |
| Jaar: |
2008-10 |
| Inhoud: |
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] . |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 13 van 14 gevonden artikelen
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