Mathematical Analysis of Some Resource-Prey-Predator Models: Application to a NPZ Microcosm Model
It has been proposed (Lassiter, 1978) that nutrient-phytoplankton-zooplankton (NPZ) submodels of ecosystem microcosm models exhibit the dynamics of a three-species food chain with Monod (Michaelis-Menton, Holling) functional response, except that the resource growth rate is a decreasing function of resource density. In this case, the basal prey species of the food chain is replaced by an abiotic resource which is supplied externally and is subject to density dependent dissipation as in a chemostat. Such a chemostat-chain, representing a sugar-bacteria-protozoa (SBP) system, has been studied qualitatively (local stability of equilibria) by Canale (1969,1970) and numerically by Jost et al. (1973).
KeywordsFood Chain Positive Equilibrium Sustained Oscillation Abiotic Resource Resource Density
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