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| Titel: |
A sharp threshold for disease persistence in host metapopulations |
| Auteur: |
Dhirasakdanon, Thanate Thieme, Horst R. Driessche, P. Van Den |
| Verschenen in: |
Journal of biological dynamics |
| Paginering: | Jaargang 1 (2007) nr. 4 pagina's 363-378 |
| Jaar: |
2007-10 |
| Inhoud: |
A sharp threshold is established that separates disease persistence from the extinction of small disease outbreaks in an S→E→I→R→S type metapopulation model. The travel rates between patches depend on disease prevalence. The threshold is formulated in terms of a basic replacement ratio (disease reproduction number), R0, and, equivalently, in terms of the spectral bound of a transmission and travel matrix. Since frequency-dependent (standard) incidence is assumed, the threshold results do not require knowledge of a disease-free equilibrium. As a trade-off, for R0>1, only uniform weak disease persistence is shown in general, while uniform strong persistence is proved for the special case of constant recruitment of susceptibles into the patch populations. For R0<1, Lyapunov's direct stability method shows that small disease outbreaks do not spread much and eventually die out. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 10 gevonden artikelen
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