TY - JOUR
T1 - Effect of parity on productivity and sustainability of Lotka–Volterra food chains
T2 - Bounded orbits in food chains
AU - Massarelli, Nicole
AU - Hoffman, Kathleen
AU - Previte, Joseph P.
N1 - Publisher Copyright:
© 2013, Springer-Verlag Berlin Heidelberg.
PY - 2013/12
Y1 - 2013/12
N2 - 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.
AB - 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.
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U2 - 10.1007/s00285-013-0746-7
DO - 10.1007/s00285-013-0746-7
M3 - Article
C2 - 24362648
AN - SCOPUS:84890365207
SN - 0303-6812
VL - 69
SP - 1609
EP - 1626
JO - Journal of Mathematical Biology
JF - Journal of Mathematical Biology
IS - 6-7
ER -