منابع مشابه
RAPPORT Remarks on food chain dynamics
The main modes of behavior of a food chain model, composed of logistic prey and Holling type II predator and superpredator, are discussed in this paper. The study is carried out through bifurcation analysis, alternating between a normal form approach and numerical continuation. The two-parameter bifurcation diagram of the model contains Hopf, fold and transcritical bifurcation curves of equilib...
متن کاملStoichiometry and food-chain dynamics.
Traditional models of chemostat systems looking at interactions between predator, prey and nutrients have used only a single currency, such as energy or nitrogen. In reality, growth of autotrophs and heterotrophs may be limited by various elements, e.g. carbon, nitrogen, phosphorous or iron. In this study we develop a dynamic energy budget model chemostat which has both carbon and nitrogen as c...
متن کاملConstraints on food chain length arising from regional metacommunity dynamics.
Classical ecological theory has proposed several determinants of food chain length, but the role of metacommunity dynamics has not yet been fully considered. By modelling patchy predator-prey metacommunities with extinction-colonization dynamics, we identify two distinct constraints on food chain length. First, finite colonization rates limit predator occupancy to a subset of prey-occupied site...
متن کاملFood chain dynamics in the chemostat.
The asymptotic behavior of a tri-trophic food chain model in the chemostat is studied. The Monod-Herbert growth model is used for all trophic levels. The analysis is carried out numerically, by finding both local and global bifurcations of equilibria and of limit cycles with respect to two chemostat control parameters: the dilution rate of the chemostat and the concentration of input substrate....
متن کاملSome Remarks on Whitham Dynamics
A number of formulas are displayed concerningWhitham theory for a simple example of pure N = 2 susy Yang-Mills (YM) with gauge group SU(2). In particular this serves to illuminate the role of Λ and T1 derivatives and the interaction with prepotentials F (Seiberg-Witten) and F (Whitham).
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ژورنال
عنوان ژورنال: Mathematical Biosciences
سال: 1996
ISSN: 0025-5564
DOI: 10.1016/0025-5564(95)00104-2