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The Lotka–Volterra predator-prey model makes a number of assumptions about the environment and biology of the predator and prey populations: [5] The prey population finds ample food at all times. The food supply of the predator population depends entirely on the size of the prey population.
The aim of Huffaker’s 1958 experiment was to “shed light upon the fundamental nature of predator–prey interaction” [2] and to “establish an ecosystem in which a predatory and a prey species could continue living together so that the phenomena associated with their interactions could be studied in detail”. [3]
Ratio-dependent predation may account for heterogeneity in large-scale natural systems in which predator efficiency decreases when prey is scarce. [1] The merit of ratio-dependent versus prey-dependent models of predation has been the subject of much controversy, especially between the biologists Lev R. Ginzburg and Peter A. Abrams. [3]
a = conversion efficiency: the fraction of prey energy assimilated by the predator and turned into new predators P = predator density V = prey density m = predator mortality c = capture rate Demographic response consists of a change in dP/dt due to a change in V and/or m. For example, if V increases, then predator growth rate (dP/dt) will increase.
The paradox of enrichment is a term from population ecology coined by Michael Rosenzweig in 1971. [1] He described an effect in six predator–prey models where increasing the food available to the prey caused the predator's population to destabilize. A common example is that if the food supply of a prey such as a rabbit is overabundant, its ...
Examples include predator-prey competition and host-parasite co-evolution, as well as mutualism. Evolutionary game models have been created for pairwise and multi-species coevolutionary systems. [58] The general dynamic differs between competitive systems and mutualistic systems.
Using these variables, the optimal diet model can predict how predators choose between two prey types: big prey 1 with energy value E 1 and handling time h 1, and small prey 2 with energy value E 2 and handling time h 2. In order to maximize its overall rate of energy gain, a predator must consider the profitability of the two prey types.
A structural diagram of the open ocean plankton ecosystem model of Fasham, Ducklow & McKelvie (1990). [1]An ecosystem model is an abstract, usually mathematical, representation of an ecological system (ranging in scale from an individual population, to an ecological community, or even an entire biome), which is studied to better understand the real system.