Hamiltonian dynamics for complex food webs
2016 (English)In: PHYSICAL REVIEW E, ISSN 1539-3755, Vol. 93, no 3, 032413- p.Article in journal (Refereed) PublishedText
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.
Mathematics Biological Sciences
IdentifiersURN: urn:nbn:se:liu:diva-127435DOI: 10.1103/PhysRevE.93.032413ISI: 000372724300008PubMedID: 27078396OAI: oai:DiVA.org:liu-127435DiVA: 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]2016-05-012016-04-262016-05-17