. Bulletin. Science; Natural history; Natural history. SELECTIVE PRESSURE ON PREDATOR AND PREY 179 P-»00. P -'O Fig. 3. Density-dependent model where JHilcll is dependent on H^^. P* = equilibrium point; arrows show movement of A/, and Hi in the planes: P decreases in the shaded region and increases in the unshaded area. number of sexually mature prey). Both equations represent parabolas (Fig. 4). A real positive equilibrium point exists if: '("-2 +/C3) C4 (er, + fc^) + k. > Cf,e It can be seen that when = = 0, conditions for the existence of a real posi- tive equilibrium point
. Bulletin. Science; Natural history; Natural history. SELECTIVE PRESSURE ON PREDATOR AND PREY 179 P-»00. P -'O Fig. 3. Density-dependent model where JHilcll is dependent on H^^. P* = equilibrium point; arrows show movement of A/, and Hi in the planes: P decreases in the shaded region and increases in the unshaded area. number of sexually mature prey). Both equations represent parabolas (Fig. 4). A real positive equilibrium point exists if: '("-2 +/C3) C4 (er, + fc^) + k. > Cf,e It can be seen that when = = 0, conditions for the existence of a real posi- tive equilibrium point are more stringent; however, local stability about that point occurs if it exists. When k^,. k^ > 0, the stability criteria are similar to those of the density-independent case except that an extra variable uhich is ah\a\s positive is added to the left hand side of the equation, and the criterion: .v + k^HyP + Cj/^i > ffl.,^ must be met (.v is a variable which is always positive, and composed of terms of the original equations). Thus, in cases where decrease in indisiduals. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Southern California Academy of Sciences. Los Angeles, Calif. : The Academy
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Keywords: ., bookcentury1900, booksubjectnaturalhistory, booksubjectscience
