Global stability and persistence of complex foodwebs

Global stability and persistence of complex foodwebs

We develop a novel approach to study the global behaviour of large foodwebs for ecosystems where several species share multiple resources. The model extends and generalizes some previous works and takes into account self-limitation. Under certain explicit conditions, we establish the global converge...

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Veröffentlicht in:Annali di matematica pura ed applicata 2019-10, Vol.198 (5), p.1693-1709
Hauptverfasser: Kozlov, Vladimir, Tkachev, Vladimir G., Vakulenko, Sergey, Wennergren, Uno
Format: Artikel
Sprache:eng
Schlagworte:
Complex foodwebs
Global stability
Mathematics
Mathematics and Statistics
Multiple resources
Non-increasing maps
Period-two-points
Persistence
Self-limitation
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Beschreibung
Zusammenfassung:We develop a novel approach to study the global behaviour of large foodwebs for ecosystems where several species share multiple resources. The model extends and generalizes some previous works and takes into account self-limitation. Under certain explicit conditions, we establish the global convergence and persistence of solutions.
ISSN:0373-3114
1618-1891
1618-1891
DOI:10.1007/s10231-019-00840-1