Abstract
This paper derives a biologically reasonable discrete analog of a stoichiometric continuous two predators one prey model (i.e., LKEF model) proposed by Loladze et al.1By comparing the LKEF model to its discrete analog, we show that both the LKEF model and its discrete analogue exhibit similar dynamics but also some noticeable differences. In the discrete time setting, two predators exploiting a single prey can coexist not only at a stable equilibrium but also via oscillations, and the chaotic dynamics occur for biologically plausible parameter sets. Our results suggest that the stoichiometric mechanisms are robust to time discretization and the nutritional quality of prey has dramatic and counterintuitive impact on predator-prey dynamics, which agrees with the existing analysis of pelagic systems.
Published Version
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