Evidence of chaos in eco-epidemic models | Zendy

Dirk Stiefs | Zendy; Ezio Venturino | Zendy; Ulrike Feudel | Zendy

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Evidence of chaos in eco-epidemic models

Author(s) -

Dirk Stiefs,

Ezio Venturino,

Ulrike Feudel

Publication year - 2009

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2009.6.855

Subject(s) - quasiperiodic function , chaotic , trophic level , hopf bifurcation , predator , mathematics , statistical physics , chaos (operating system) , epidemic model , predation , dynamics (music) , ecology , mathematical economics , bifurcation , biology , computer science , physics , mathematical analysis , artificial intelligence , population , nonlinear system , demography , sociology , computer security , quantum mechanics , acoustics

We study an eco-epidemic model with two trophic levels in which the dynamics are determined by predator-prey interactions as well as the vulnerability of the predator to a disease. Using the concept of generalized models we show that for certain classes of eco-epidemic models quasiperiodic and chaotic dynamics are generic and likely to occur. This result is based on the existence of bifurcations of higher codimension such as double Hopf bifurcations. We illustrate the emergence of chaotic behavior with one example system.

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