منابع مشابه
Stability of Cluster Solutions in a Tritrophic Food Chain Model
We study a tritrophic food chain model which is based on Schnakenberg type kinetics. This model is realistic in a predator-prey context if cooperation of predators is prevalent in the system. The system also serves as a model for a sequence of irreversible autocatalytic reactions in a container which is in contact with a well-stirred reservoir. It is an extension of the Schnakenberg model sugge...
متن کاملBelyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model
Complex dynamics of the most frequently used tritrophic food chain model are investigated in this paper. First it is shown that the model admits a sequence of pairs of Belyakov bifurcations (codimension-two homoclinic orbits to a critical node). Then fold and period-doubling cycle bifurcation curves associated to each pair of Belyakov points are computed and analyzed. The overall bifurcation sc...
متن کاملSynchrony in tritrophic food chain metacommunities.
The synchronous behaviour of interacting communities is studied in this paper. Each community is described by a tritrophic food chain model, and the communities interact through a network with arbitrary topology, composed of patches and migration corridors. The analysis of the local synchronization properties (via the master stability function approach) shows that, if only one species can migra...
متن کاملAnalytical study of a triple Hopf bifurcation in a tritrophic food chain model
We provide an analytical proof of the existence of a stable periodic orbit contained in the region of coexistence of the three species of a tritrophic chain. The method used consists in analyzing a triple Hopf bifurcation. For some values of the parameters three limit cycles bear via this bifurcation. One is contained in the plane where the top–predator is absent. Another one is not contained i...
متن کاملChaos in Ecology: The Topological Entropy of a Tritrophic Food Chain Model
1 Department of Chemistry, Mathematics Unit, ISEL-High Institute of Engineering of Lisbon, rua Conselheiro Emı́dio Navarro 1, 1959-007 Lisbon, Portugal 2 Research Centre in Mathematics and Applications (CIMA), University of Evora, rua Romão Ramalho 59, 7000-671 Evora, Portugal 3 Department of Mathematics, Centre of Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico...
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ژورنال
عنوان ژورنال: PAMM
سال: 2007
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200701039