Periodically forced discrete-time SIS epidemic model with diseaseinduced mortality
We use a periodically forced SIS epidemic model with disease inducedmortality to study the combined effects of seasonal trends and death on theextinction and persistence of discretely reproducing populations. Weintroduce the epidemic threshold parameter, $R_0$, forpredicting disease dynamics in peri...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.385 |
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| Summary: | We use a periodically forced SIS epidemic model with disease inducedmortality to study the combined effects of seasonal trends and death on theextinction and persistence of discretely reproducing populations. Weintroduce the epidemic threshold parameter, $R_0$, forpredicting disease dynamics in periodic environments. Typically, $R_01$ to extinction.Furthermore, we obtain conditions for the persistence of the totalpopulation. In addition, we use the Beverton-Holt recruitment function toshow that the infective population exhibits period-doubling bifurcationsroute to chaos where the disease-free susceptible population lives on a2-cycle (non-chaotic) attractor. |
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| ISSN: | 1551-0018 |