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Hamiltonian dynamics for complex food webs
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Russian Academic Science, Russia; St Petersburg National Research University of Informat Technology Mech, Russia.
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Biology. Linköping University, Faculty of Science & Engineering.
2016 (English)In: PHYSICAL REVIEW E, ISSN 1539-3755, Vol. 93, no 3, 032413- p.Article in journal (Refereed) PublishedText
Abstract [en]

We investigate stability and dynamics of large ecological networks by introducing classical methods of dynamical system theory from physics, including Hamiltonian and averaging methods. Our analysis exploits the topological structure of the network, namely the existence of strongly connected nodes (hubs) in the networks. We reveal new relations between topology, interaction structure, and network dynamics. We describe mechanisms of catastrophic phenomena leading to sharp changes of dynamics and hence completely altering the ecosystem. We also show how these phenomena depend on the structure of interaction between species. We can conclude that a Hamiltonian structure of biological interactions leads to stability and large biodiversity.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2016. Vol. 93, no 3, 032413- p.
National Category
Mathematics Biological Sciences
URN: urn:nbn:se:liu:diva-127435DOI: 10.1103/PhysRevE.93.032413ISI: 000372724300008PubMedID: 27078396OAI: diva2:925251

Funding Agencies|Linkoping University, Government of Russian Federation [074-U01]; Russian Fund of Basic Research [16-01-00648]; US National Institutes of Health [RO1 OD010936]

Available from: 2016-05-01 Created: 2016-04-26 Last updated: 2016-05-17

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