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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| Format: | Article |
| Language: | English |
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AIMS Press
2009-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.855 |
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| author | Dirk Stiefs Ezio Venturino Ulrike Feudel |
| author_facet | Dirk Stiefs Ezio Venturino Ulrike Feudel |
| author_sort | Dirk Stiefs |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-eff242bde1ca4986a485bbb5f4ab00ff |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-eff242bde1ca4986a485bbb5f4ab00ff2025-01-24T02:00:01ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-08-016485587110.3934/mbe.2009.6.855Evidence of chaos in eco-epidemic modelsDirk Stiefs0Ezio Venturino1Ulrike Feudel2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 DresdenMax Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 DresdenMax Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 DresdenWe 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.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.855chaosbifurcation.eco-epidemiologygeneralized model |
| spellingShingle | Dirk Stiefs Ezio Venturino Ulrike Feudel Evidence of chaos in eco-epidemic models Mathematical Biosciences and Engineering chaos bifurcation. eco-epidemiology generalized model |
| title | Evidence of chaos in eco-epidemic models |
| title_full | Evidence of chaos in eco-epidemic models |
| title_fullStr | Evidence of chaos in eco-epidemic models |
| title_full_unstemmed | Evidence of chaos in eco-epidemic models |
| title_short | Evidence of chaos in eco-epidemic models |
| title_sort | evidence of chaos in eco epidemic models |
| topic | chaos bifurcation. eco-epidemiology generalized model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.855 |
| work_keys_str_mv | AT dirkstiefs evidenceofchaosinecoepidemicmodels AT ezioventurino evidenceofchaosinecoepidemicmodels AT ulrikefeudel evidenceofchaosinecoepidemicmodels |