Effect of parity on productivity and sustainability of Lotka-Volterra food chains: bounded orbits in food chains.

Autor: Massarelli N; University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, MD,  21250, USA, massa2@umbc.edu., Hoffman K, Previte JP
Jazyk: angličtina
Zdroj: Journal of mathematical biology [J Math Biol] 2014 Dec; Vol. 69 (6-7), pp. 1609-26. Date of Electronic Publication: 2013 Dec 21.
DOI: 10.1007/s00285-013-0746-7
Abstrakt: Hairston, Slobodkin, and Smith conjectured that top down forces act on food chains, which opposed the previously accepted theory that bottom up forces exclusively dictate the dynamics of populations. We model food chains using the Lotka-Volterra predation model and derive sustainability constants which determine which species will persist or go extinct. Further, we show that the productivity of a sustainable food chain with even trophic levels is predator regulated, or top down, while a sustainable food chain with odd trophic levels is resource limited, which is bottom up, which is consistent with current ecological theory.
Databáze: MEDLINE