Evidence of chaos in eco-epidemic models
We study an eco-epidemic model with two trophic levels in which the dynamicsare determined by predator-prey interactions as well as thevulnerability of the predator to a disease. Using the concept ofgeneralized models we show that for certain classes of eco-epidemicmodels quasiperiodic and chaotic d...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2009-08-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.855 |
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| Summary: | We study an eco-epidemic model with two trophic levels in which the dynamicsare determined by predator-prey interactions as well as thevulnerability of the predator to a disease. Using the concept ofgeneralized models we show that for certain classes of eco-epidemicmodels quasiperiodic and chaotic dynamics are generic and likely tooccur. This result is based on the existence of bifurcations of highercodimension such as double Hopf bifurcations. We illustrate theemergence of chaotic behavior with one example system. |
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| ISSN: | 1551-0018 |