Two Biomedical Applications
Beverton-Holt Recruitment Curve Some organisms exhibit a density-dependent mortality from one generation to the next. Let R > 1 be the net reproductive rate (that is, the number of surviving offspring per parent), let x > 0 be the density of parents, and y be the density of surviving offspring. The Beverton-Holt recruitment curve is
where K . 0 is the carrying capacity of the organism’s environment. Show that , and interpret this as a statement about the parents and the offspring.
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