BioND — Dynamics of Biological Networks

Evidence of Chaos in Eco-epidemic Models

D. Stiefs, E. Venturino, and U. Feudel
Mathematical Biosciences and Engineering 6(4), 855-871, 2009.

Abstract

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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