Asymptotic stability of tri-trophic food chains sharing a common resource

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F15%3A00449932" target="_blank" >RIV/60077344:_____/15:00449932 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/15:00449932 RIV/60076658:12310/15:43890202
Result on the web
<a href="http://dx.doi.org/10.1016/j.mbs.2015.10.005" target="_blank" >http://dx.doi.org/10.1016/j.mbs.2015.10.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.mbs.2015.10.005" target="_blank" >10.1016/j.mbs.2015.10.005</a>

Result language
angličtina
Original language name
Asymptotic stability of tri-trophic food chains sharing a common resource
Original language description
One of the key results of the food web theory states that the interior equilibrium of a tri-trophic food chain described by the Lotka?Volterra type dynamics is globally asymptotically stable whenever it exists. This article extends this result to food webs consisting of several food chains sharing a common resource. A Lyapunov function for such food webs is constructed and asymptotic stability of the interior equilibrium is proved. Numerical simulations show that as the number of food chains increases,the real part of the leading eigenvalue, while still negative, approaches zero. Thus the resilience of such food webs decreases with the number of food chains in the web.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
EH - Ecology - communities
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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